Found 47 Documents (Results 1–47)
Compositions of random processes in a Hilbert space and its limit distribution. (English) Zbl 1530.81011
Feynman path integrals for magnetic Schrödinger operators on infinite weighted graphs. (English) Zbl 1520.47083
Reviewer: Takashi Ichinose (Kanazawa)
Unbounded random operators and Feynman formulae. (English. Russian original) Zbl 1422.47049
Izv. Math. 80, No. 6, 1131-1158 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 141-172 (2016).
Reviewer: Michael Perelmuter (Kyïv)
An approach to solution of the Schrödinger equation using Fourier-type functionals. (English) Zbl 1266.60141
Smooth contractive embeddings and application to Feynman formula for parabolic equations on smooth bounded domains. (English) Zbl 1278.47047
A Feynman-Kac solution to a random impulsive equation of Schrödinger type. (English) Zbl 1246.28008
Reviewer: Kun Soo Chang (Seoul)
Analytic continuation of the change of variable formula for smooth measures. (English. Russian original) Zbl 1186.46047
Dokl. Math. 77, No. 2, 265-268 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 466-470 (2008).
Reviewer: Alexander Kachurovskij (Novosibirsk)
Euclidean Gibbs measures of interacting quantum anharmonic oscillators. (English) Zbl 1125.82004
Reviewer: Hiroshi Tamura (Kanazawa)
Feynman–Kac representation and Markov property of semigroups generated by noncommutative elliptic operators. (English) Zbl 1065.46048
Reviewer: Messoud A. Efendiev (Berlin)
A measure-valued analogue of Wiener measure and the measure-valued Feynman-Kac formula. (English) Zbl 1017.28008
Reviewer: Joo Sup Chang (Hanyang)
Norm convergence of the Lie-Trotter-Kato product formula and imaginary-time path integral. (English) Zbl 0988.47026
Reviewer: Shaw Sen Yen (Chung-Li)
Cocycles of CCR flows. (English) Zbl 0976.46050
Mem. Am. Math. Soc. 709, 114 p. (2001).
Reviewer: Isamu Dôku (Urawa)
Functional integration. (English) Zbl 0974.58011
Stochastic spectral theory for selfadjoint Feller operators: A functional integration approach. (English) Zbl 0980.60005
Probability and Its Applications. Basel: Birkhäuser. xii, 463 p. (2000).
Reviewer: Wilfried Hazod (Dortmund)
Feynman’s path integrals and Henstock’s non-absolute integration. (English) Zbl 0963.28012
Reviewer: Oleksandr Kukush (Kiev)
The Feynman integral and Feynman’s operational calculus. (English) Zbl 0952.46044
Oxford Mathematical Monographs. Oxford: Clarendon Press. xviii, 771 p. (2000).
Reviewer: Nicolae Angelescu (Bucureşti)
Error bound in trace norm for Trotter-Kato product formula of Gibbs semigroups. (English) Zbl 0940.47036
Reviewer: W.Lamb (Glasgow)
On the Schrödinger equation with potentials which are Laplace transforms of measures. (English) Zbl 0928.58016
Reviewer: N.Papaghiuc (Iaşi)
Introduction to functional integrals in quantum physics and statistics. (Une initiation à l’intégrale fonctionnelle en physique quantique et statistique.) (French) Zbl 0890.46057
Cahiers de Physique. 1. Lausanne: Presses Polytechniques et Universitaires Romandes. 88 p. (1996).
Reviewer: G.Roepstorff (Aachen)
Evolution processes and the Feynman-Kac formula. (English) Zbl 0844.60027
Mathematics and its Applications (Dordrecht). 353. Dordrecht: Kluwer Academic Publishers. ix, 235 p. (1996).
Reviewer: B.Goldys (Kensington)
Two non-commutative limit theorems. (English) Zbl 0920.46044
Davies, I. M. (ed.) et al., Stochastic analysis and applications. Proceedings of the 5th Gregynog symposium, Gregynog, Powys, GB, July 9-14, 1995. Singapore: World Scientific. 176-188 (1996).
The functional-analytic versus the functional-integral approach to quantum Hamiltonians: The one-dimensional hydrogen atom. (English) Zbl 0871.46038
Reviewer: T.Ichinose (Kanazawa)
Path integrals in \(N = 2\) supersymmetric quantum mechanics. (English) Zbl 0797.46054
Reviewer: A.D.Kiselev (Chernigov)
Euclidean Majorana fermions, fermionic integrals, and relative Pfaffians. (English) Zbl 0809.46087
Reviewer: W.Slowikowski (Aarhus)
Generalized vector measures and Feynman path integrals. (English) Zbl 0768.28006
Reviewer: A.Badrikian (Aubière)
Measures and differential equations in infinite-dimensional space. (English) Zbl 0753.46027
Mathematics and Its Applications. Soviet Series. 76. Dordrecht etc.: Kluwer Academic Publishers. xv, 337 p. (1991).
Reviewer: W.Slowikowski (Aarhus)
Integral representation theorems in partially ordered vector spaces. (English) Zbl 0753.28010
Reviewer: V.Panchapagesan Thiruyaiyaru (Merida)
Existence theorems for the analytic operator-valued Feynman intregral. (English) Zbl 0693.46050
Séminaire d’Analyse Moderne, 20. Sherbrooke (Canada): Université de Sherbrooke, Dépt. de Mathématiques et d’Informatique. v, 54 p. $ 5.00 (1988).
Reviewer: C.J.Henrich
Integration in function spaces in quantum mechanics. (English. Russian original) Zbl 0742.46031
Sov. Phys., Dokl. 33, No. 8, 590-591 (1988); translation from Dokl. Akad. Nauk SSSR 301, No. 6, 1366-1369 (1988).
MSC:
46G12
Integration structures. (English) Zbl 0704.46002
Proceedings of the Centre for Mathematical Analysis, Australian National University, 18. Canberra: Australian National University, Centre for Mathematical Analysis. ix, 209 p. (1988).
Reviewer: W.Slowikowski
Bilinear integrals and Radon-Nikodym derivatives. (English) Zbl 0642.46043
Operator theory and partial differential equations, Miniconf. Ryde/Aust. 1986, Proc. Cent. Math. Anal. Aust. Natl. Univ. 14, 185-200 (1986).
Reviewer: J.W.Hagood
Quantum stochastic processes. (English) Zbl 0574.46059
Statistical physics and dynamical systems. Rigorous results, Pap. 2nd Colloq. Workshop, Köszeg/Hung. 1984, Prog. Phys. 10, 285-302 (1985).
Quantum physics. A functional integral point of view. (Matematicheskie metody kvantovoj fiziki. Podkhod s ispol’zovaniem funktional’nykh integralov). (Russian) Zbl 0589.46061
Moskva: Izdatel’stvo ”Mir”. 445 p. R. 4.20 (1984).
Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. II. (English) Zbl 0575.46053
Ten lectures on operator algebras. (English) Zbl 0571.47033
Regional Conference Series in Mathematics 55. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-0705-6). viii, 93 p. (1984).
Reviewer: J.W.Bunce
Operator valued measures and perturbations of semi-groups. (English) Zbl 0531.28012
Reviewer: W.Strauß
Quantum diffusions. (English) Zbl 0514.60054
Theory and application of random fields, Proc. IFIP-WG 7/1 Working Conf., Bangalore/India 1982, Lect. Notes Control Inf. Sci. 49, 111-121 (1983).
Feynman measures with correlation operators of indefinite sign. (English. Russian original) Zbl 0514.28011
Sov. Math., Dokl. 25, 32-35 (1982); translation from Dokl. Akad. Nauk SSSR 262, 37-40 (1982).
Quantum mechanics in mathematics, chemistry, and physics. (Proceedings of a Special Session in Mathematical Physics organized as a part of the 774th Meeting of the American Mathematical Society, held March 27-29, 1980, in Boulder, Colorado). (English) Zbl 0489.46053
New York, London: Plenum Press. IX, 506 p. $ 59.50 (1981).
Quantum physics. A functional integral point of view. (English) Zbl 0461.46051
New York - Heidelberg - Berlin: Springer-Verlag. XX, 417 p., 43 ill. $ 26.40 (1981).
Integration in function spaces and some of its applications. (English) Zbl 0504.28015
Lezioni Fermiane. Pisa: Accademia Nazionale dei Lincei, Scuola Normale Superiore. 82 p. (1980).
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