@article{AIHPA_1984__41_2_115_0,
author = {Elworthy, David and Truman, Aubrey},
title = {Feynman maps, {Cameron-Martin} formulae and anharmonic oscillators},
journal = {Annales de l'I.H.P. Physique th\'eorique},
pages = {115--142},
publisher = {Gauthier-Villars},
volume = {41},
number = {2},
year = {1984},
mrnumber = {769152},
zbl = {0578.28013},
language = {en},
url = {http://archive.numdam.org/item/AIHPA_1984__41_2_115_0/}
}
TY - JOUR AU - Elworthy, David AU - Truman, Aubrey TI - Feynman maps, Cameron-Martin formulae and anharmonic oscillators JO - Annales de l'I.H.P. Physique théorique PY - 1984 SP - 115 EP - 142 VL - 41 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1984__41_2_115_0/ LA - en ID - AIHPA_1984__41_2_115_0 ER -
%0 Journal Article %A Elworthy, David %A Truman, Aubrey %T Feynman maps, Cameron-Martin formulae and anharmonic oscillators %J Annales de l'I.H.P. Physique théorique %D 1984 %P 115-142 %V 41 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPA_1984__41_2_115_0/ %G en %F AIHPA_1984__41_2_115_0
Elworthy, David; Truman, Aubrey. Feynman maps, Cameron-Martin formulae and anharmonic oscillators. Annales de l'I.H.P. Physique théorique, Tome 41 (1984) no. 2, pp. 115-142. http://archive.numdam.org/item/AIHPA_1984__41_2_115_0/
[1] and , Mathematical Theory of Feynman Path Integrals, Springer Lecture Notes in Mathematics, p. 523, Berlin-Heidelberg-New York, 1976. | MR | Zbl
[2] , Pacific J. Math., t. 8, 1958, p. 665-677. | MR | Zbl
[3] and , Trans. Amer. Math. Soc., t. 58, n° 2, 1945, p. 184-219. | MR | Zbl
[4] and , Linear Operators Part I, Interscience, New York, 1967.
[5] a) and , A Cameron-Martin Formula for Feynman integrals, p. 288-294 in Mathematical Problems in Theoretical Physics (Proceedings, Berlin (West) 1981) edited by R. Schrader, R. Seiler and D. A. Uhlenrock (Springer Lecture Notes in Physics 153).
b) and , J. Math. Phys., t. 22, 1981, p. 2144-2166. | MR | Zbl
[6] and , Gauge Fields, Introduction to Quantum Theory (Benjamin/Cummings, Reading Mass., 1980). | MR | Zbl
[7] and , Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965). | Zbl
[8] a) , Proc. Japan Acad., t. 55 A, 1979, p. 195-199. | Zbl
b) , Proc. Japan Acad., t. 55 A, 1979, p. 273-277, and references cited therein. | MR | Zbl
[9] , Acta Math., t. 127, 1971, p. 79-183. | MR | Zbl
[10] , Theorie des Perturbations et Methods Asymptotiques (Dunod, Paris, 1972) and references cited therein. | Zbl
[11] , and , Phys. Rep., t. 50, 1979, p. 257- 372.
[12] a) and , Methods of Modern Mathematical Physics, I Functional Analysis (Academic Press, New York and London, 1973). and , Methods of Modern Mathematical Physics, II Fourier Analysis and Self-adjointness (Academic Press, New York and London, 1975. | MR | Zbl
[13] , Remark on the solution of the Schrödinger equation for anharmonic oscillators via Feynman path integral, BI TP 82/22, Bielefeld preprint, August 1982. | MR
[14] , Radon Measures on Arbitrary Topological Spaces and Cylindrical Measures, Tata Institute Studies in Maths, t. 6, Bombay Oxford University Press, 1973. | MR | Zbl
[15] , Functional Integration and Quantum Physics (Academic Press, New York, 1979). | MR | Zbl
[16] , Trace ideals and their applications (Cambridge University Press, London Math. Soc. Lecture Note Series, 1979). | MR | Zbl
[17] and , J. Func. Anal., t. 12, 1973, p. 129-152. | Zbl
[18] and , J. Phys. A, t. 14, 1981, p. 2207-2222. | MR | Zbl
[19] , The polygonal path formulation of the Feynman path integral in Feynman path integrals edited by S. Albeverio et al. (Springer Lecture Notes in Physics, t. 106, 1979). | MR | Zbl
