共查询到20条相似文献,搜索用时 31 毫秒
1.
C. Wolf 《International Journal of Theoretical Physics》1997,36(3):625-634
By considering a generalized statistics with occupation numbers between Bose-Einstein and Fermi-Dirac statistics we study
the resultant distribution when the states differ by a small factor from a Fermi-Dirac distribution. Both the Fermi energy
and any level crossing phenomena are sensitive to such statistics; in particular, the electrical conductivity and the free
electron heat capacity of fermions at low temperatures receive corrections due to alterations of Fermi-Dirac statistics. 相似文献
2.
In this article we consider the problem of how to reconcile the Bose-Einstein statistics of the incident radiation field with the Fermi-Dirac statistics of the electron population in a photoconductor which is in equilibrium with the radiation field. A Langevin approach is followed, based on Einstein's rate equations. Results for the noise sources associated with absorption, stimulated emission, and spontaneous emission, are derived. These results are shown to be consistent with the Fermi-Dirac statistics of the electron processes; also, the various sources are shown to reconstitute the black-body radiation field. 相似文献
3.
M. P. Silverman 《Il Nuovo Cimento D》1983,2(3):848-852
Summary The weak decay of a muon in the ground state of a dimuon atom is analysed. Although the two muons are correlated by Fermi-Dirac
statistics, it is shown that, in marked contrast to the seemingly analogous case of neutron beta-decay in3H, statistics have no effect on the muon decay rate. The distinction between the two cases is discussed.
To speed up publication, the author of this paper has agreed to not receive the proofs for correction. 相似文献
4.
Ahmad Adel Abutaleb 《International Journal of Theoretical Physics》2014,53(11):3893-3900
In this paper we propose a unified statistics of Bose-Einstein and Fermi-Dirac statistics by suggesting that every particle can be associated with matter or fundamental forces with certain probability. The main Justification for this proposal is the possibility of extension of the spin-statistics theory to include a hypothetical quantum particles have fractional spin. The concept of Supersymmetry can be related to this unified statistics. 相似文献
5.
黑体辐射中两类粒子的辐射规律 总被引:1,自引:1,他引:0
考虑到相对论效应,采用量子统计的方法,得到了满足Bose-Einstein统计分布和Fermi-Dirac统计分布的两类粒子的黑体辐射公式(包括Planck黑体辐射公式).发现辐射谱不仅与黑体的辐射温度有关,还与辐射粒子的能量、化学势和种类有关.辐射强度与辐射粒子的能量、静质量、简并因子有关。 相似文献
6.
In this paper we study an ideal electron gas in the presence of a uniform electromagnetic field and confinement by a three-dimensional harmonic potential. We find the partition function of this system and in the sequel we examine the Boltzmann statistics and Fermi-Dirac statistics applying the grand canonical ensemble method. 相似文献
7.
《Physics letters. A》1987,125(9):447-450
Recently the following dichotomy has been established: either the familiar three statistics (Maxwell-Boltzmann, Bose-Einstein, Fermi-Dirac) all describe indistinguishable particles or (exclusively) they all describe distinguishable particles. We consider permutation invariance of the state as the ultimate criterium for indistinguishability and give some arguments which elucidate that the particles of Maxwell-Boltzmann statistics are indistinguishable. 相似文献
8.
We present a formulation of deformed oscillator algebra which leads to intermediate statistics as a continuous interpolation between Bose-Einstein and Fermi-Dirac statistics. It is deduced that a generalized permutation or exchange symmetry leads to the introduction of the basic number and it is then established that this in turn leads to the deformed algebra of oscillators. We obtain the mean occupation number describing the particles obeying intermediate statistics which thus establishes the interpolating statistics and describe boson-like and fermion-like particles obeying intermediate statistics. We also obtain an expression for the mean occupation number in terms of an infinite continued fraction, thus clarifying successive approximations. 相似文献
9.
The Bethe ansatz leads to Yang-Yang integral equations. The particle-hole structure of the zero-temperature excitations is generalized to finite temperatures, which leads to the definition of soliton- and phonon-quasiparticles. The solitons approximately follow the Fermi-Dirac statistics and have a chemical potential with an unusual temperature dependence, because the number of solitons is not constant. 相似文献
10.
Sergio Curilef 《Zeitschrift für Physik B Condensed Matter》1997,100(3):433-440
Within Tsallis generalized thermostatistics, the grand canonical ensemble is derived for quantum systems. In particular, the generalized Fermi-Dirac, Bose-Einstein and Maxwell-Boltzmann statistics are defined. The behavior of the chemical potential is depicted as a function of the temperature. Some thermodynamic quantities at high and low temperature are studied as well. 相似文献
11.
12.
We formulate a theory of generalized Fock spaces which underlies the different forms of quantum statistics such as ‘infinite’,
Bose-Einstein and Fermi-Dirac statistics. Single-indexed systems as well as multi-indexed systems that cannot be mapped into
single-indexed systems are studied. Our theory is based on a three-tiered structure consisting of Fock space, statistics and
algebra. This general formalism not only unifies the various forms of statistics and algebras, but also allows us to construct
many new forms of quantum statistics as well as many algebras of creation and destruction operators. Some of these are: new
algebras for infinite statistics,q-statistics and its many avatars, a consistent algebra for fractional statistics, null statistics or statistics of frozen
order, ‘doubly-infinite’ statistics, many representations of orthostatistics, Hubbard statistics and its variations. 相似文献
13.
Hudong Chen 《Journal of statistical physics》1995,81(1-2):347-359
For lattice gas systems obeying Fermi-Dirac statistics, an H-theorem can be proved with a more general condition that the semi-detailed balance condition. This new condition allows more flexible transition rates among states, so that it has broader applicability for various lattice gas models, including those which have multiple phase properties. 相似文献
14.
M. Grendel 《Czechoslovak Journal of Physics》1981,31(4):416-432
Boundary conditions for distribution functions of quasiparticles scattered by an interface between two crystalline grains are presented. In contradistinction to former formulations where the Maxwell-Boltzmann statistics was considered, the present boundary conditions take into account the quantum (Fermi-Dirac or Bose-Einstein) statistics of the quasiparticles. Provided that small deviations from the thermodynamical equilibrium only are present, the boundary conditions are linearized, and then their “renormalization” is investigated in case of the elastic scattering. The final results of the renormalization, which are obtained for a simplified model of an interface, suggest that the portion of the Fermi (Bose)-quasiparticles reflected or transmitted specularly is decreased (increased) in comparison with the case of quasiparticles obeying the Maxwell-Boltzmann statistics. 相似文献
15.
16.
We introduce a general Monte Carlo scheme for achieving atomistic simulations with monoelectronic Hamiltonians including the thermalization of both nuclear and electronic degrees of freedom. The kinetic Monte Carlo algorithm is used to obtain the exact occupation numbers of the electronic levels at canonical equilibrium, and comparison is made with Fermi-Dirac statistics in infinite and finite systems. The effects of a nonzero electronic temperature on the thermodynamic properties of liquid silver and sodium clusters are presented. 相似文献
17.
L. D. Pietanza G. Colonna S. Longo M. Capitelli 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2007,45(2):369-389
Different models for relaxation dynamics of electrons and phonons in a thin
metal film heated by femto-pico second laser pulses have been discussed. The
traditional two-temperature approach reveals to be inaccurate due to
deviations of electrons and phonons from Fermi-Dirac and Bose-Einstein
distributions, respectively. Coupled Boltzmann kinetic equations have been
adapted for the quantum statistics to study the energy distribution of
electrons and phonons in metals. Theoretical details have been discussed and
a new solution method has been proposed overcoming numerical problems and
improving stability, allowing the study of the dynamics until the complete
relaxation. Numerical results have been compared with photoemission
spectroscopy experimental data. 相似文献
18.
Dr. James D. Edmonds Jr. 《International Journal of Theoretical Physics》1976,15(12):911-925
The hypercomplex numbers associated with the Dirac-Clifford algebra, are applied to the spin–0, –1/2, and –1 structures for Schwinger's source theory of quantum electrodynamics. The generalizations to 5-vectors and 5-space relativity are introduced. The anticommuting numbers, associated with Fermi-Dirac statistics, are examined in some detail. The hyper-complex number formulation is suitable for curved space quantum computations. 相似文献
19.
20.
H. B. G. Casimir 《Zeitschrift für Physik A Hadrons and Nuclei》1963,171(1):246-249
It is shownNernst's theorem holds when the number of energy levels per energy interval of the system as a whole satisfies certain conditions asymptotically when the number of particles in the system tends toward infinity. These conditions are found to be satisfied for all realistic physical models that have so far been studied. The case of Fermi-Dirac statistics is a limiting case; this may be related with the phenomenon of superconductivity. 相似文献