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Volumn 182, Issue 3, 1996, Pages 505-533

The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics

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EID: 0030569492     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02506416     Document Type: Article
Times cited : (16)

References (15)
  • 1
    • 0001579634 scopus 로고
    • The index of elliptic operators I
    • Atiyah, M.F., Singer, I.M.: The index of elliptic operators I. Ann. of Math. 87, 484-530 (1968)
    • (1968) Ann. of Math. , vol.87 , pp. 484-530
    • Atiyah, M.F.1    Singer, I.M.2
  • 3
    • 0000706260 scopus 로고
    • Some remarks on the paper of Callias
    • Bott, R., Seeley, R.: Some remarks on the paper of Callias. Commun. Math. Phys. 62, 235-245 (1978)
    • (1978) Commun. Math. Phys. , vol.62 , pp. 235-245
    • Bott, R.1    Seeley, R.2
  • 4
    • 0001727360 scopus 로고
    • Aximal anomalies and index theorem on open spaces
    • Callias, C.: Aximal anomalies and index theorem on open spaces. Commun. Math. Phys. 62, 213-234 (1978)
    • (1978) Commun. Math. Phys. , vol.62 , pp. 213-234
    • Callias, C.1
  • 5
    • 0001110059 scopus 로고
    • Non-commutative differential geometry, Parts I and II
    • Connes, A.: Non-commutative differential geometry, Parts I and II. Inst. Hautes Études Sci. Publ. Math. 62, 257-360 (1985)
    • (1985) Inst. Hautes Études Sci. Publ. Math. , vol.62 , pp. 257-360
    • Connes, A.1
  • 7
    • 0000670733 scopus 로고
    • The Heisenberg group and K-theory
    • Elliott, G.A., Natsume, T., Nest, R.: The Heisenberg group and K-theory. K-Theory 7, 409-428 (1993)
    • (1993) K-Theory , vol.7 , pp. 409-428
    • Elliott, G.A.1    Natsume, T.2    Nest, R.3
  • 8
    • 0001178462 scopus 로고
    • The analysis of linear partial differential operators III
    • Berlin-Heidelberg-New York: Springer-Verlag
    • Hörmander, L.: The Analysis of Linear Partial Differential Operators III. Grundlehren der mathematischen Wissenschaften 274, Berlin-Heidelberg-New York: Springer-Verlag, 1985
    • (1985) Grundlehren der Mathematischen Wissenschaften , vol.274
    • Hörmander, L.1
  • 10
    • 0041194443 scopus 로고
    • The local structure of the cyclic cohomology of Heisenberg Lie groups
    • Natsume, T., Nest, R.: The local structure of the cyclic cohomology of Heisenberg Lie groups. J. Funct. Anal. 119, 481-498 (1994)
    • (1994) J. Funct. Anal. , vol.119 , pp. 481-498
    • Natsume, T.1    Nest, R.2
  • 11
    • 0000626911 scopus 로고
    • Continuous fields of C*-algebras coming from group cocycles and actions
    • Rieffel, M.A.: Continuous fields of C*-algebras coming from group cocycles and actions. Math. Ann. 283, 631-643 (1989)
    • (1989) Math. Ann. , vol.283 , pp. 631-643
    • Rieffel, M.A.1
  • 12
    • 0001738999 scopus 로고
    • Complex powers of an elliptic operator
    • Seeley, R.: Complex powers of an elliptic operator. Proc. Symp. Pure Math. 10, 288-307 (1967)
    • (1967) Proc. Symp. Pure Math. , vol.10 , pp. 288-307
    • Seeley, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.