메뉴 건너뛰기




Volumn 51, Issue 2, 2010, Pages

The algebra of Grassmann canonical anticommutation relations and its applications to fermionic systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77952295160     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3282845     Document Type: Article
Times cited : (6)

References (23)
  • 1
    • 85011142022 scopus 로고
    • On quasifree states of CAR and Bogoliubov automorphisms
    • KRMPBV, 0034-5318, 10.2977/prims/1195193913
    • Araki H. On quasifree states of CAR and Bogoliubov automorphisms. Publ. Res. Inst. Math. Sci. 1970, 6:385. KRMPBV, 0034-5318, 10.2977/prims/1195193913
    • (1970) Publ. Res. Inst. Math. Sci. , vol.6 , pp. 385
    • Araki, H.1
  • 2
    • 0001921329 scopus 로고
    • Bogoliubov automorphisms and Fock representations of canonical anticommutation relations
    • CTMAEH, 0271-4132
    • Araki H. Bogoliubov automorphisms and Fock representations of canonical anticommutation relations. Contemp. Math. 1987, 62:23. CTMAEH, 0271-4132
    • (1987) Contemp. Math. , vol.62 , pp. 23
    • Araki, H.1
  • 3
    • 33747792951 scopus 로고
    • An extension of Kakutani's theorem on infinite product measures to the tensor product of semifinite W*-algebras
    • TAMTAM, 0002-9947, 10.2307/1995012
    • Bures D. An extension of Kakutani's theorem on infinite product measures to the tensor product of semifinite W*-algebras. Trans. Am. Math. Soc. 1969, 135:199. TAMTAM, 0002-9947, 10.2307/1995012
    • (1969) Trans. Am. Math. Soc. , vol.135 , pp. 199
    • Bures, D.1
  • 4
    • 0033070942 scopus 로고    scopus 로고
    • Density operators for fermions
    • PLRAAN, 1050-2947, 10.1103/PhysRevA.59.1538
    • Cahill K.E. Glauber R.J. Density operators for fermions. Phys. Rev. A 1999, 59:1538. PLRAAN, 1050-2947, 10.1103/PhysRevA.59.1538
    • (1999) Phys. Rev. A , vol.59 , pp. 1538
    • Cahill, K.E.1    Glauber, R.J.2
  • 5
    • 51249187461 scopus 로고
    • The classical mechanics for Bose-Fermi systems
    • NIFAAM, 1124-1861, 10.1007/BF02729860
    • Casalbuoni R. The classical mechanics for Bose-Fermi systems. Nuovo Cimento Soc. Ital. Fis., A 1976, 33:389. NIFAAM, 1124-1861, 10.1007/BF02729860
    • (1976) Nuovo Cimento Soc. Ital. Fis., A , vol.33 , pp. 389
    • Casalbuoni, R.1
  • 9
    • 1842673228 scopus 로고
    • On the fermionic Heisenberg group and its Q representations
    • LMPHDY, 0377-9017, 10.1007/BF00398807
    • Frydryszak A. On the fermionic Heisenberg group and its Q representations. Lett. Math. Phys. 1992, 26:105. LMPHDY, 0377-9017, 10.1007/BF00398807
    • (1992) Lett. Math. Phys. , vol.26 , pp. 105
    • Frydryszak, A.1
  • 10
    • 1842736044 scopus 로고    scopus 로고
    • On the fermionic Heisenberg group and its Q representations (The odd part)
    • LMPHDY, 0377-9017, 10.1023/A:1007485620556
    • Frydryszak A. On the fermionic Heisenberg group and its Q representations (The odd part). Lett. Math. Phys. 1998, 44:89. LMPHDY, 0377-9017, 10.1023/A:1007485620556
    • (1998) Lett. Math. Phys. , vol.44 , pp. 89
    • Frydryszak, A.1
  • 11
    • 4944244166 scopus 로고
    • Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics
    • LMPHDY, 0377-9017, 10.1007/BF00402016
    • Frydryszak A. Jakobczyk L. Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics. Lett. Math. Phys. 1988, 16:101. LMPHDY, 0377-9017, 10.1007/BF00402016
    • (1988) Lett. Math. Phys. , vol.16 , pp. 101
    • Frydryszak, A.1    Jakobczyk, L.2
  • 12
    • 3042680924 scopus 로고
    • A supersymmetric generalization of von Neumann's theorem
    • JMAPAQ, 0022-2488, 10.1063/1.528163
    • Grosse H. Pittner L. A supersymmetric generalization of von Neumann's theorem. J. Math. Phys. 1988, 29:110. JMAPAQ, 0022-2488, 10.1063/1.528163
    • (1988) J. Math. Phys. , vol.29 , pp. 110
    • Grosse, H.1    Pittner, L.2
  • 13
    • 0000514107 scopus 로고
    • Superspaces and supersymmetries
    • CMPHAY, 0010-3616, 10.1007/BF01942330
    • Jadczyk A. Pilch K. Superspaces and supersymmetries. Commun. Math. Phys. 1981, 78:373. CMPHAY, 0010-3616, 10.1007/BF01942330
    • (1981) Commun. Math. Phys. , vol.78 , pp. 373
    • Jadczyk, A.1    Pilch, K.2
  • 14
    • 84921256035 scopus 로고
    • Classical limit of CAR and self-duality of the infinite-dimensional Grassmann algebra
    • World Sci. Publishing, Singapore .
    • Jadczyk A.Z. Pilch K. Classical limit of CAR and self-duality of the infinite-dimensional Grassmann algebra. Quantum theory of particles and fields 1983, 62-70 World Sci. Publishing, Singapore .
    • (1983) Quantum theory of particles and fields , vol.62-70
    • Jadczyk, A.Z.1    Pilch, K.2
  • 15
    • 70349551856 scopus 로고    scopus 로고
    • A rigorous treatment of the perturbation theory for many-electron systems
    • RMPHEX, 0129-055X, 10.1142/S0129055X09003797
    • Kashima Y. A rigorous treatment of the perturbation theory for many-electron systems. Rev. Math. Phys. 2009, 21:981. RMPHEX, 0129-055X, 10.1142/S0129055X09003797
    • (2009) Rev. Math. Phys. , vol.21 , pp. 981
    • Kashima, Y.1
  • 16
    • 56049103968 scopus 로고    scopus 로고
    • A continuity theorem for Sinespring's dilation
    • JFUAAW, 0022-1236
    • Kretschmann D. Schlingemann D.-M. Werner R.F. A continuity theorem for Sinespring's dilation. J. Funct. Anal. 2008, 255:1889. JFUAAW, 0022-1236
    • (2008) J. Funct. Anal. , vol.255 , pp. 1889
    • Kretschmann, D.1    Schlingemann, D.-M.2    Werner, R.F.3
  • 17
    • 49049095474 scopus 로고    scopus 로고
    • Determinant bounds and the Matsubara UV problem of many-fermion systems
    • CMPHAY, 0010-3616, 10.1007/s00220-008-0463-z
    • Pedra W. Salmhofer M. Determinant bounds and the Matsubara UV problem of many-fermion systems. Commun. Math. Phys. 2008, 282:797. CMPHAY, 0010-3616, 10.1007/s00220-008-0463-z
    • (2008) Commun. Math. Phys. , vol.282 , pp. 797
    • Pedra, W.1    Salmhofer, M.2
  • 19
    • 67349168162 scopus 로고    scopus 로고
    • Clustering of fermionic truncated expectation values via functional integration
    • JSTPBS, 0022-4715, 10.1007/s10955-009-9698-0
    • Salmhofer M. Clustering of fermionic truncated expectation values via functional integration. J. Stat. Phys. 2009, 134:941. JSTPBS, 0022-4715, 10.1007/s10955-009-9698-0
    • (2009) J. Stat. Phys. , vol.134 , pp. 941
    • Salmhofer, M.1
  • 23
    • 0000497796 scopus 로고
    • Quantum harmonic analysis on phase space
    • JMAPAQ, 0022-2488, 10.1063/1.526310
    • Werner R.F. Quantum harmonic analysis on phase space. J. Math. Phys. 1984, 25:1404. JMAPAQ, 0022-2488, 10.1063/1.526310
    • (1984) J. Math. Phys. , vol.25 , pp. 1404
    • Werner, R.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.