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Volumn 117, Issue 12, 2002, Pages 5564-5575

Deviations from the Boltzmann distribution in small microcanonical quantum systems: Two approximate one-particle energy distributions

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTRON ENERGY LEVELS; MATHEMATICAL MODELS; OSCILLATORS (MECHANICAL); PROBABILITY DISTRIBUTIONS; SPECIFIC HEAT;

EID: 0037159086     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1503306     Document Type: Article
Times cited : (8)

References (26)
  • 8
    • 0003678550 scopus 로고
    • For a discussion of ensembles, their differences and equivalences, see any textbook on statistical mechanics, e.g.; (Oxford University Press, Oxford), Chap. 3
    • For a discussion of ensembles, their differences and equivalences, see any textbook on statistical mechanics, e.g., D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, Oxford, 1987), Chap. 3.
    • (1987) Introduction to Modern Statistical Mechanics
    • Chandler, D.1
  • 15
    • 0010858237 scopus 로고    scopus 로고
    • note
    • c is the canonical heat capacity at constant volume evaluated by standard partition function methods. We do not use this approximation in the present paper.
  • 24
    • 0010797538 scopus 로고    scopus 로고
    • note
    • At sufficiently high energies, β must be negative in any of the distributions, giving inverted populations, but that is just required for agreement and is not a source of error.
  • 25
    • 0010921536 scopus 로고    scopus 로고
    • note
    • Equal a priori probability is closely related to the assumption of ergodicity, but this paper is not concerned with time dependence, only equilibrium ensemble averages.
  • 26
    • 0010859562 scopus 로고    scopus 로고
    • (private communication)
    • J. U. Andersen (private communication).
    • Andersen, J.U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.