- Autor(in)
- Referenz
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10 Yu. G. Kondratiev, P. Leukert, J. Potthoff, L. Streit, W. Westerkamp, Generalized Functionals in Gaussian Spaces - The Characterization Theorem Revisited. Preprint Univ. Mannheim Nr. 175/94 (1994)
11 I. Kubo, S. Takenaka, Calculus on Gaussian White Noise I+II. Proc. Japan Acad. 56 A (1980) 376 - 380, 411 - 416
12 H. H. Kuo, Lectures on White Noise Analysis. Soochow J. Math. 18 (1991) 229 - 300
13 A. Lascheck, P. Leukert, L. Streit, W. Westerkamp, Quantum Mechanical Propagators in Terms of Hida Distributions. Rep. Math. Phys. 33 (1993) 221 - 232
14 P. A. Meyer, J.-A. Yan, Les "fontions caracteristiques" des distributions sur l'espace de Wiener, Seminaire de Probabilites XXV, P. A. Meyer, M. Yor, eds., Springer, pp. 61 - 78 (1990)
15 N. Obata, White Noise Calculus and Fock Space. LN. 1577, Springer, Berlin (1994)
16 J. Potthoff, L. Streit, A Characterization of Hida Distributions. J. Funct. Anal. 101 (1991) 212 - 229
17 J. Potthoff, Introduction to White Noise Analysis. Baton Rouge Preprint (1991)
18 L. Streit, The Feynman Integral - Recent Results, in: Dynamics of Complex and Irregular Systems, Ph. Blanchard et al., eds. World Scientific (1993)
19 L. Streit, White Noise Analysis and Applications in Quantum Physics. In: Stochastic Analysis and Applications in Physics A. I. Cardoso et al., eds. Kluwer, Dordrecht, in print (1994)
1 S. A. Albeverio, R. Høegh-Krohn, Mathematical Theorem of Feynman Integrals. LN. 523, Springer Verlag (1976)
20 L. Streit, W. Westerkamp, A generalization of the characterization theorem for generalized functionals of White Noise, in: Dynamics of Complex and Irregular Systems. Ph. Blanchard et al., eds. World Scientific (1993)
21 W. Westerkamp, A Primer in White Noise Analysis, in: Dynamics of Complex and Irregular Systems. Ph. Blanchard et al., eds. World Scientific (1993)
2 P. Exner, Open Quantum Systems and Feynman Integrals. Reidel, Dordrecht (1985)
3 M. de Faria, J. Potthoff, L. Streit, The Feynman Integrand as a Hida Distribution. J. Math. Phys. 32 (1991) 2123
4 T. Hida, Brownian Motion. Applications of Mathematic. 11, Springer Verlag, Berlin (1980)
5 T. Hida, H. H. Kuo, J. Potthoff, L. Streit, White Noise: An Infinite Dimensional Calculus. Kluwer Academic Publishers, Dordrecht (1993)
6 T. Hida, L. Streit, Generalized Brownian Functionals and the Feynman Integral. Stoch. Proc. Appl. 16 (1983) 55
7 B. R. Holstein, Topics in advanced Quantum mechanics. Redwood City, Ca., Addison-Wesley (1992)
8 D. C. Khandekar, L. Streit, Constructing the Feynman Integrand. Ann. Physi. 1 (1992) 46 - 55
9 Yu. G. Kondratiev, L. Streit, Spaces of White Noise Distributions, Constructions, Descriptions, Applications I. To appear in Rep. Math. Phys. 33 (1992)
- Seitenbereich
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0053 - 0067
- Schlagwort(e)
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<KWD>Functional integration
Quantum theory
White noise analysis
- Zusammenfsg.
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We review some basic notions and results of White Noise Analysis that are used in the construction of the Feynman integrand as a generalized White Noise functional. We show that the Feynman integrand for the harmonic oscillator in an external potential is a Hida distribution.
- Artikel-Typen
- Forschungsartikel