Кіріспе
Жарық жылдамдығына жақын қозғалатын элементарлық бөлшек
Elementary particle which moves close to the speed of light
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
Бөлшек физикасында релятивистік бөлшек – Эйнштейн қатынасы бойынша, тынығу энергиясынан үлкен немесе оған тең кинетикалық энергиясы бар элементарлық бөлшек. Бұл жағдай фотондар үшін толыққанды орындалады, сондай-ақ арнайы салыстырмалылық теориясының эффектілері осындай бөлшектердің өзіне тән эффектілерін сипаттауға мүмкіндік береді. Бір және бірнеше релятивистік бөлшектердің қозғалысын сипаттау үшін бірнеше тәсілдер бар, олардың ең танымал мысалы – Дирак теңдеуі арқылы бір бөлшектің қозғалысын постулаттау. Бөлшектің энергия-импульс қатынасын былай жазуға болады:
Elementary particle which moves close to the speed of light
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
мұнда – энергия, – импульс, ал – тынығу массасы.
Elementary particle which moves close to the speed of light
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
Тынығу массасы нөлге жақындағанда, мысалы, фотон үшін, немесе импульс өте үлкен болғанда, мысалы, жоғары жылдамдықты протон үшін, бұл қатынас сызықтық дисперсияға дейін ыдырайды, яғни:
Elementary particle which moves close to the speed of light
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
Бұл классикалық бөлшектерге тән энергия-импульс қатынасының параболалық түрінен өзгеше. Сондықтан, практикада энергия-импульс қатынасының сызықтығы немесе параболалық еместігі релятивистік бөлшектердің маңызды белгісі болып саналады. Осы екі типті релятивистік бөлшектер сәйкесінше массасыз және массивті деп аталады. Эксперименттерде массивті бөлшектердің релятивистік болуы үшін олардың кинетикалық энергиясы тынығу массасына сәйкес келетін энергияға тең немесе одан жоғары болуы керек. Басқаша айтқанда, массивті бөлшек релятивистік болып есептелуі үшін оның жалпы масса-энергиясы тынығу массасынан кемінде екі есе көп болуы тиіс. Бұл жағдай бөлшектің жылдамдығы жарық жылдамдығына жақын екенін көрсетеді. Лоренц коэффициентінің формуласына сәйкес, бұл бөлшектің жарық жылдамдығының шамамен 85% жылдамдығымен қозғалуын талап етеді. Мұндай релятивистік бөлшектер бөлшектер үдеткіштерінде және табиғи түрде ғарыштық сәулеленуде пайда болады. Астрофизикада белсенді галактикалар мен квазарлардың орталықтарынан релятивистік плазма ағындары шығады. Зарядталған релятивистік бөлшектер әртүрлі диэлектрлік тұрақтысы бар екі ортаның шекарасын кесіп өткенде ауысу сәулеленуін тудырады. Бұл жоғары жылдамдықты бөлшектердің ауысу сәулеленуін анықтайтын детекторында қолданылады.
Elementary particle which moves close to the speed of light
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
In particle physics, a relativistic particle is an elementary particle with kinetic energy greater than or equal to its rest mass energy given by Einstein's relation, , or specifically, of which the velocity is comparable to the speed of light
This is achieved by photons to the extent that effects described by special relativity are able to describe those of such particles themselves. Several approaches exist as a means of describing the motion of single and multiple relativistic particles, with a prominent example being postulations through the Dirac equation of single particle motion. Since the energy momentum relation of an particle can be written as:
where is the energy, is the momentum, and is the rest mass,
when the rest mass tends to be zero, e. g. for a photon, or the momentum tends to be large, e. g. for a large speed proton, this relation will collapses into a linear dispersion, i. e.
This is different from the parabolic energy momentum relation for classical particles. Thus, in practice, the linearity or the non parabolicity of the energy momentum relation is considered as a key feature for relativistic particles. These two types of relativistic particles are remarked as massless and massive, respectively. In experiments, massive particles are relativistic when their kinetic energy is comparable to or greater than the energy corresponding to their rest mass. In other words, a massive particle is relativistic when its total mass energy is at least twice its rest mass. This condition implies that the speed of the particle is close to the speed of light. According to the Lorentz factor formula, this requires the particle to move at roughly 85% of the speed of light. Such relativistic particles are generated in particle accelerators, as well as naturally occurring in cosmic radiation. In astrophysics, jets of relativistic plasma are produced by the centers of active galaxies and quasars. A charged relativistic particle crossing the interface of two media with different dielectric constants emits transition radiation. This is exploited in the transition radiation detectors of high velocity particles.
Үстелге арналған релятивистік бөлшектер
Релятивистік электрондар кейбір қатты күйдегі материалдарда да болуы мүмкін, оның ішінде графен, висмут-антимон қорытпалары сияқты жартылай металдарда және өтпелі металл дихалькогенидтері мен қара фосфорен қабаттары сияқты жартылай өткізгіштерде. Дирак теңдеуімен сипатталатын, решеткеге шектелген және релятивистік эффектілерге ие осы электрондар "жұмыс үстеліндегі релятивистік электрондар" немесе "Дирак электрондары" деп те аталады.
Relativistic electrons can also exist in some solid state materials, including semimetals such as graphene, bismuth antimony alloys, and semiconductors such as transitional metal dichalcogenide and black phosphorene layers. These lattice confined electrons with relativistic effects that can be described using the Dirac equation are also called desktop relativistic electrons or Dirac electrons.