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Volumn 20, Issue 9, 1997, Pages 745-757

A functional model for quantum mechanics: Unbounded operators

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; DIFFERENTIATION (CALCULUS); MATHEMATICAL OPERATORS; QUANTUM THEORY; SET THEORY;

EID: 0031170484     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199706)20:9<745::AID-MMA878>3.0.CO;2-7     Document Type: Article
Times cited : (3)

References (33)
  • 1
    • 0038353657 scopus 로고
    • Möbius transformations in ℝ" expressed through 2 ×2 matrices of Clifford numbers
    • L. V. Ahlfors, 'Möbius transformations in ℝ" expressed through 2 ×2 matrices of Clifford numbers', Complex Variables Theory Appl. 5, 215-224 (1986).
    • (1986) Complex Variables Theory Appl. , vol.5 , pp. 215-224
    • Ahlfors, L.V.1
  • 2
    • 0001533804 scopus 로고
    • The Weyl functional calculus
    • R. F. V. Anderson, 'The Weyl functional calculus', J. Funct. Anal., 4, 240-267 (1969).
    • (1969) J. Funct. Anal. , vol.4 , pp. 240-267
    • Anderson, R.F.V.1
  • 6
    • 0002349779 scopus 로고
    • Automorphism invariance of the operator-valued Poisson transform
    • R. E. Curto and F.-H. Vasilescu, 'Automorphism invariance of the operator-valued Poisson transform', Acta Sci. Math. (Szeged), 57, 65-78 (1993).
    • (1993) Acta Sci. Math. (Szeged) , vol.57 , pp. 65-78
    • Curto, R.E.1    Vasilescu, F.-H.2
  • 10
    • 0011940440 scopus 로고
    • Linears Operators. Part I: General Theory
    • Wiley, New York
    • N. Dunford and J. T. Schwartz, Linears Operators. Part I: General Theory, Pure and Applied Mathematics, vol. VII Wiley, New York, 1957.
    • (1957) Pure and Applied Mathematics , vol.7
    • Dunford, N.1    Schwartz, J.T.2
  • 11
    • 17444428329 scopus 로고
    • Quantum mechanics and partial differential equations
    • R. Howe, 'Quantum mechanics and partial differential equations', J. Funct. Anal., 38, 188-254 (1980).
    • (1980) J. Funct. Anal. , vol.38 , pp. 188-254
    • Howe, R.1
  • 13
    • 0000097613 scopus 로고
    • Geometric quantization
    • Dynamical Systems IV, (V. I. Arnold and S. P. Novikov, eds.), Springer, Berlin
    • A. A. Kirillov, 'Geometric quantization', in: Dynamical Systems IV, (V. I. Arnold and S. P. Novikov, eds.), Encyclopedia of Mathematical Sciences, Vol. 4, pp. 137-172, Springer, Berlin, 1990.
    • (1990) Encyclopedia of Mathematical Sciences , vol.4 , pp. 137-172
    • Kirillov, A.A.1
  • 14
    • 0347535828 scopus 로고
    • Relative convolutions. I. Properties and applications
    • Reporte Interno # 162, Departamento de Matemáticas, CINVESTAV del. I.P.N., Mexico City, e-print archive fuct-an/9410001; to appear
    • V. V. Kisil, 'Relative convolutions. I. Properties and applications', Reporte Interno # 162, Departamento de Matemáticas, CINVESTAV del. I.P.N., Mexico City, 1994, e-print archive fuct-an/9410001; Adv. Math. (to appear).
    • (1994) Adv. Math.
    • Kisil, V.V.1
  • 15
    • 34249035690 scopus 로고
    • Connection between different function theories in Clifford analysis
    • e-print archive funct-an/9501002
    • V. V. Kisil, 'Connection between different function theories in Clifford analysis', Adv. Appl. Clifford Algebras, 5, 63-74 (1995); e-print archive funct-an/9501002.
    • (1995) Adv. Appl. Clifford Algebras , vol.5 , pp. 63-74
    • Kisil, V.V.1
  • 16
  • 17
    • 0013514924 scopus 로고    scopus 로고
    • Möbius transformations and monogenic functional calculus
    • V. V. Kisil, 'Möbius transformations and monogenic functional calculus', Electr. Res. Announcements AMS, 2, (1), 26-33 (1996).
    • (1996) Electr. Res. Announcements AMS , vol.2 , Issue.1 , pp. 26-33
    • Kisil, V.V.1
  • 18
    • 85033284077 scopus 로고    scopus 로고
    • Spectrum, functional calculi and group representations
    • submitted, in Russian
    • V. V. Kisil, 'Spectrum, functional calculi and group representations', Dokl. Akad. Nauk SSSR (submitted, in Russian).
    • Dokl. Akad. Nauk SSSR
    • Kisil, V.V.1
  • 19
    • 0030150764 scopus 로고    scopus 로고
    • The Riesz-Clifford functional calculus for several noncommuting operators and quantum field theory
    • e-print archive funct-an/9502006
    • V. V. Kisil, and E. Ramirez de Arellano, 'The Riesz-Clifford functional calculus for several noncommuting operators and quantum field theory', Math. Methods in Appl. Sci., 19, (8), 593-605 (1996); e-print archive funct-an/9502006.
    • (1996) Math. Methods in Appl. Sci. , vol.19 , Issue.8 , pp. 593-605
    • Kisil, V.V.1    Ramirez De Arellano, E.2
  • 20
    • 5544289999 scopus 로고
    • Polynomial solutions of the Fueter-Hurwitz equation
    • The Madison Symposium on Complex Analysis, A. Nagel and E. Lee Stout, eds. AMS, Providence, RI
    • W. Królikowski and E. Ramirez de Arellano, Polynomial solutions of the Fueter-Hurwitz equation, in: The Madison Symposium on Complex Analysis, A. Nagel and E. Lee Stout, eds.) Contemporary Mathematics, Vol. 137, pp. 297-305, AMS, Providence, RI, 1992.
    • (1992) Contemporary Mathematics , vol.137 , pp. 297-305
    • Królikowski, W.1    Ramirez De Arellano, E.2
  • 22
    • 5544299532 scopus 로고
    • Sur un calcul symbolique de Feynmann
    • Seminar d'Analyse, Springer, Berlin
    • G. Laville, 'Sur un calcul symbolique de Feynmann', in: Seminar d'Analyse, Lect. Notes in Math., Vol. 12 95, pp. 132-145. Springer, Berlin, 1987.
    • (1987) Lect. Notes in Math. , vol.1295 , pp. 132-145
    • Laville, G.1
  • 23
    • 0346816935 scopus 로고
    • Hypercomplex differentiability and its applications
    • (F. Bracks et al., eds.), Kluwer Academic Publishers, Netherlands
    • H. R. Malonek, 'Hypercomplex differentiability and its applications', in: Clifford Algebras and Applications in Mathematical Physics, (F. Bracks et al., eds.), pp. 141-150, Kluwer Academic Publishers, Netherlands, 1993.
    • (1993) Clifford Algebras and Applications in Mathematical Physics , pp. 141-150
    • Malonek, H.R.1
  • 24
    • 0000409685 scopus 로고
    • A functional calculus for several commuting operators
    • A. McIntosh and A. Pryde, 'A functional calculus for several commuting operators', Indiana Univ. Math. J., 36, 421-439 (1987).
    • (1987) Indiana Univ. Math. J. , vol.36 , pp. 421-439
    • McIntosh, A.1    Pryde, A.2
  • 27
    • 0040327696 scopus 로고
    • Some application of conformal covariance in Clifford analysis
    • (J. Ryan, ed.), CRC Press, Boca Raton, FL
    • J. Ryan, 'Some application of conformal covariance in Clifford analysis', in: Clifford Algebras in Analysis and Related Topics, (J. Ryan, ed.), pp. 128-155, CRC Press, Boca Raton, FL, 1995.
    • (1995) Clifford Algebras in Analysis and Related Topics , pp. 128-155
    • Ryan, J.1
  • 29
    • 0042920679 scopus 로고
    • C*-algebras and quantization
    • C*-Algebras: 1943-1993, (R. Doran, ed.), AMS, Providence, RI
    • I. E. Segal, 'C*-algebras and quantization', in: C*-Algebras: 1943-1993, (R. Doran, ed.), Contemporary Mathematics, Vol. 167, pp. 55-65. AMS, Providence, RI, 1994.
    • (1994) Contemporary Mathematics , vol.167 , pp. 55-65
    • Segal, I.E.1
  • 31
    • 0002117637 scopus 로고
    • The analytic-functional calculus for several commuting operators
    • J. L. Taylor, The analytic-functional calculus for several commuting operators', Acta Math., 125, 1-38 (1970).
    • (1970) Acta Math. , vol.125 , pp. 1-38
    • Taylor, J.L.1
  • 32
    • 0010763251 scopus 로고
    • A general framework for a multioperator functional calculus
    • J. L. Taylor, 'A general framework for a multioperator functional calculus', Adv. Math., 9, 183-252 (1972).
    • (1972) Adv. Math. , vol.9 , pp. 183-252
    • Taylor, J.L.1
  • 33
    • 0003311415 scopus 로고
    • Noncommutative Harmonic Analysis
    • American Mathematical Society, Providence, RI
    • M. E. Taylor, Noncommutative Harmonic Analysis, Math. Surv. and Monographs, Vol. 22, American Mathematical Society, Providence, RI, 1986.
    • (1986) Math. Surv. and Monographs , vol.22
    • Taylor, M.E.1


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