Phase space Feynman path integrals

Journal of Mathematical Physics

Volumn 43, Issue 6, 2002, Pages 2847-2857

  Albeverio, S ^a   Guatteri, G ^b   Mazzucchi, S ^b  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981759     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1470705     Document Type: Article

References (17)

1. M. Reed and B. Simon, Methods of Modern Physics. Vol. 1, Functional Analysis (Academic, New York, 1975).
2. S. Albeverio and R.J. Høegh-Krohn, Mathematical Theory of Feynman Path Integrals, Lecture Notes in Mathematics (Springer, Berlin, 1976).
3. D. Elworthy and A. Truman, Ann. I.H.P. Phys. Theor. 41, 115 (1984).
4. G.W. Johnson and M.L. Lapidus, The Feynman Integral and Feynman's Operational Calculus (Oxford University Press, New York, 2000).
5. T. Hida, H.H. Kuo, J. Potthoff, and L. Streit, White Noise (Kluwer, Dordrecht, 1995).
6. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
7. L.S. Schulman, Lecture on Path Integration World Scientific, River Edge, NJ, 1993).
8. S. Albeverio and Z. Brzeźniak, J. Funct. Anal. 113, 177 (1993).
9. V.P. Maslov and M.V. Fedoriuk, Semi-Classical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
10. I. Daubechies and J. Klauder, J. Math. Phys. 28, 85 (1987).
11. E. Nelson, J. Math. Phys. 5, 332-343 (1964).
12. P.R. Chernoff, Product Formulas, Nonlinear Semigroups, and Addition of Unbounded Operators, Mem. Am. Math. Soc. 140 (1974).
13. M. Reed, B. Simon, Methods of Modern Mathematical Physics, Vol. II, Fourier Analysis, Self-Adjointness (Academic, New York, 1975), Vol II.
14. A. Truman, Springer Lecture Notes in Physics, edited by S. Albeverio et al. (Springer, New York, 1979), Vol. 106.
15. A. Truman and T. Zastawniak, J. Korean Math. Soc. 38, 469 (2001).
16. O.G. Smolyanov and E.T. Shavgulidze, Path Integrals (Moscow State University Press, Moscow, 1990) (in Russian).
17. S. Albeverio and Z. Brzeźniak, J. Math. Phys. 36, 2135 (1995).