메뉴 건너뛰기




Volumn 99, Issue 5-6, 2000, Pages 1297-1338

On condensations in the Bogoliubov weakly imperfect Bose gas

Author keywords

Bogoliubov weakly imperfect gas; Bose condenstation; Conventional; Generalized condensation; Nonconventional

Indexed keywords


EID: 0034336224     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018692823463     Document Type: Article
Times cited : (16)

References (39)
  • 1
    • 0002428394 scopus 로고
    • On the theory of superfluidity
    • N. N. Bogoliubov, On the theory of superfluidity, J. Phys. (USSR) 11:23 (1947).
    • (1947) J. Phys. (USSR) , vol.11 , pp. 23
    • Bogoliubov, N.N.1
  • 4
    • 18644366973 scopus 로고    scopus 로고
    • Exact phase diagram of the Bogoliubov weakly imperfect Bose gas
    • J.-B. Bru and V. A. Zagrebnov, Exact phase diagram of the Bogoliubov weakly imperfect Bose gas, Phys. Lett. A 244:371 (1998).
    • (1998) Phys. Lett. A , vol.244 , pp. 371
    • Bru, J.-B.1    Zagrebnov, V.A.2
  • 5
    • 0032573330 scopus 로고    scopus 로고
    • Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas
    • J.-B. Bru and V. A. Zagrebnov, Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas, J. Phys. A; Math. Gen. A 31:9377 (1998).
    • (1998) J. Phys. A; Math. Gen. A , vol.31 , pp. 9377
    • Bru, J.-B.1    Zagrebnov, V.A.2
  • 6
    • 0001801663 scopus 로고    scopus 로고
    • Quantum interpretation of thermodynamic behaviour of the Bogoliubov weakly imperfect Bose gas
    • J.-B. Bru and V. A. Zagrebnov, Quantum interpretation of thermodynamic behaviour of the Bogoliubov weakly imperfect Bose gas, Phys. Lett. A 247:37 (1998).
    • (1998) Phys. Lett. A , vol.247 , pp. 37
    • Bru, J.-B.1    Zagrebnov, V.A.2
  • 7
    • 0002807383 scopus 로고
    • On the asymptotic exactness of the Bogoliubov approximation for many bsons systems
    • J. Ginibre, On the asymptotic exactness of the Bogoliubov approximation for many bsons systems, Commun. Math. Phys. 8:26 (1968).
    • (1968) Commun. Math. Phys. , vol.8 , pp. 26
    • Ginibre, J.1
  • 8
    • 0001786163 scopus 로고
    • A proof that the free energy of a spin system is extensive
    • R. Griffiths, A proof that the free energy of a spin system is extensive. J. Math. Phys. 5:1215 (1964).
    • (1964) J. Math. Phys. , vol.5 , pp. 1215
    • Griffiths, R.1
  • 9
    • 0000823158 scopus 로고
    • Equilibrium statistical mechanics of matter interacting with the quantized radiation field
    • K. Hepp and E. H. Lieb, Equilibrium statistical mechanics of matter interacting with the quantized radiation field, Phys. Rer. A 8:2517 (1973).
    • (1973) Phys. Rer. A , vol.8 , pp. 2517
    • Hepp, K.1    Lieb, E.H.2
  • 10
    • 0033241363 scopus 로고    scopus 로고
    • Nonextensive Bose Einstein condensation model
    • T. Michoel and A. Verbeure, Nonextensive Bose Einstein condensation model, J. Math. Phys. 40:1268 (1999).
    • (1999) J. Math. Phys. , vol.40 , pp. 1268
    • Michoel, T.1    Verbeure, A.2
  • 11
    • 0344339105 scopus 로고    scopus 로고
    • Exactly soluble model with two kinds of Bose Einstein condensations
    • J.-B. Bru and V. A. Zagrebnov, Exactly soluble model with two kinds of Bose Einstein condensations. Physica A 268:309 (1999).
    • (1999) Physica A , vol.268 , pp. 309
    • Bru, J.-B.1    Zagrebnov, V.A.2
  • 12
    • 0001147451 scopus 로고
    • On generalized condensation in the free boson gas
    • M. van den Berg and J. T. Lewis, On generalized condensation in the free boson gas, Physica A 110:550 (1982).
    • (1982) Physica A , vol.110 , pp. 550
    • Van Den Berg, M.1    Lewis, J.T.2
  • 13
    • 36749120521 scopus 로고
    • On boson condensation into an infinite number of low-lying levels
    • M. van den Berg, On boson condensation into an infinite number of low-lying levels, J. Math. Phys. 23:1159 (1982).
    • (1982) J. Math. Phys. , vol.23 , pp. 1159
    • Van Den Berg, M.1
  • 14
    • 0000451348 scopus 로고
    • A general theory of Bose Einstein condensation in the free boson gas
    • M. van den Berg, J. T. Lewis, and J. V. Pulè, A general theory of Bose Einstein condensation in the free boson gas, Helv. Phys. Acta 59:1271 (1986).
    • (1986) Helv. Phys. Acta , vol.59 , pp. 1271
    • Van Den Berg, M.1    Lewis, J.T.2    Pulè, J.V.3
  • 15
    • 0001831394 scopus 로고
    • On generalized Bose-Einstein condensation in the almost-ideal boson gas
    • Vl. V. Papoyan and V. A. Zagrebnov, On generalized Bose-Einstein condensation in the almost-ideal boson gas, Helv. Phys. Acta 63:557 (1990).
    • (1990) Helv. Phys. Acta , vol.63 , pp. 557
    • Papoyan, Vl.V.1    Zagrebnov, V.A.2
  • 17
    • 77956139567 scopus 로고
    • Thermodynamic probability theory: Some aspects of large deviations
    • J. T. Lewis and C.-E. Pfister, Thermodynamic probability theory: some aspects of large deviations, Russian Math. Surveys 50(2):279 (1995).
    • (1995) Russian Math. Surveys , vol.50 , Issue.2 , pp. 279
    • Lewis, J.T.1    Pfister, C.-E.2
  • 18
    • 0002098774 scopus 로고
    • Symmetric states of infinite tensor products of C *-algebra
    • E. Størmer, Symmetric states of infinite tensor products of C *-algebra, J. Funct. Anal. 3:48 (1969).
    • (1969) J. Funct. Anal. , vol.3 , pp. 48
    • Størmer, E.1
  • 20
    • 0001728568 scopus 로고
    • Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems
    • N. G. Duffield, H. Ross, and R. F. Werner, Macroscopic limiting dynamics of a class of inhomogeneous mean field quantum systems, Ann. Inst. Henri Poincaré 56:143 (1992).
    • (1992) Ann. Inst. Henri Poincaré , vol.56 , pp. 143
    • Duffield, N.G.1    Ross, H.2    Werner, R.F.3
  • 21
    • 0000659861 scopus 로고
    • Quasi-free states of the C.C.R. algebra and Bogoliubov transformations
    • J. Manuceau and A. Verbeure, Quasi-free states of the C.C.R. algebra and Bogoliubov transformations, Commun. Math. Phys. 9:293 (1968).
    • (1968) Commun. Math. Phys. , vol.9 , pp. 293
    • Manuceau, J.1    Verbeure, A.2
  • 23
    • 0002461006 scopus 로고
    • The thermodynamic limit for an imperfect boson gas
    • E. B. Davies, The thermodynamic limit for an imperfect boson gas, Comm. Math. Phys. 28:69 (1972).
    • (1972) Comm. Math. Phys. , vol.28 , pp. 69
    • Davies, E.B.1
  • 24
    • 0000316592 scopus 로고
    • The large deviation principle for the Kac distribution
    • J. T. Lewis, J. V. Pulè, and V. A. Zagrebnov, The large deviation principle for the Kac distribution, Helv. Phys. Acta 61:1063 (1988).
    • (1988) Helv. Phys. Acta , vol.61 , pp. 1063
    • Lewis, J.T.1    Pulè, J.V.2    Zagrebnov, V.A.3
  • 25
    • 0009279026 scopus 로고
    • Variational solution of a superfluidity model
    • N. Angelescu and A. Verbeure, Variational solution of a superfluidity model, Physica A 216:388 (1995).
    • (1995) Physica A , vol.216 , pp. 388
    • Angelescu, N.1    Verbeure, A.2
  • 28
    • 0001725355 scopus 로고
    • On the free boson gas in a weak external potential
    • M. van den Berg and J. T. Lewis, On the free boson gas in a weak external potential, Commum. Math. Phys. 81:475 (1981).
    • (1981) Commum. Math. Phys. , vol.81 , pp. 475
    • Van Den Berg, M.1    Lewis, J.T.2
  • 29
    • 0001802441 scopus 로고
    • The free boson gas in a weak external potential
    • J. V. Pulè, The free boson gas in a weak external potential. J. Math. Phys. 24:138 (1983).
    • (1983) J. Math. Phys. , vol.24 , pp. 138
    • Pulè, J.V.1
  • 30
    • 0002830576 scopus 로고
    • On condensation in the free-bosons gas and the spectrum of the Laplacian
    • M. van den Berg, On condensation in the free-bosons gas and the spectrum of the Laplacian, J. Stat. Phys. 31:623 (1983).
    • (1983) J. Stat. Phys. , vol.31 , pp. 623
    • Van Den Berg, M.1
  • 32
    • 0043060416 scopus 로고
    • The ideal Bose Einstein gas, revisited
    • R. M. Ziff, G. E. Uhlenbeck, and M. Kac, The ideal Bose Einstein gas, revisited, Phys. Rep. 32:169 (1977).
    • (1977) Phys. Rep. , vol.32 , pp. 169
    • Ziff, R.M.1    Uhlenbeck, G.E.2    Kac, M.3
  • 35
    • 4243132347 scopus 로고
    • Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions
    • C. C. Bradley, C. A. Sackett, J. J. Tollet, and R. G. Hulet, Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions, Phys. Rev. Lett. 75:1687 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 1687
    • Bradley, C.C.1    Sackett, C.A.2    Tollet, J.J.3    Hulet, R.G.4
  • 37
    • 79953113480 scopus 로고
    • Some classes of exactly soluble models of problems in Quantum Statistical Mechanics the method of the approximating Hamiltonian
    • N. N. Bogoliubov (Jr.), J. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, and N. S. Tonchev, Some classes of exactly soluble models of problems in Quantum Statistical Mechanics the method of the approximating Hamiltonian, Russian Math. Surveys 39(6):1 (1984).
    • (1984) Russian Math. Surveys , vol.39 , Issue.6 , pp. 1
    • Bogoliubov N.N., Jr.1    Brankov, J.G.2    Zagrebnov, V.A.3    Kurbatov, A.M.4    Tonchev, N.S.5
  • 38
    • 0000585216 scopus 로고
    • Correlation inequalities and equilibrium states I
    • M. Fannes and A. Verbeure, Correlation inequalities and equilibrium states I, Commun. Math. Phys. 55:125 (1977).
    • (1977) Commun. Math. Phys. , vol.55 , pp. 125
    • Fannes, M.1    Verbeure, A.2
  • 39
    • 0000585217 scopus 로고
    • Correlation inequalities and equilibrium states II
    • M. Fannes and A. Verbeure, Correlation inequalities and equilibrium states II. Commun. Math. Phys. 57:165 (1977).
    • (1977) Commun. Math. Phys. , vol.57 , pp. 165
    • Fannes, M.1    Verbeure, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.