Infinite-Dimensional Schr\"odinger Equations with Polynomial Potentials and Representation of Their Solutions via Feynman Integrals
Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 788-791.

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Keywords: infinite-dimensional Schrödinger equation, polynomial potential, Feynman integral, Gaussian measure, Cauchy problem.
Mots-clés : evolution equation
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A. K. Kravtseva. Infinite-Dimensional Schr\"odinger Equations with Polynomial Potentials and Representation of Their Solutions via Feynman Integrals. Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 788-791. http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a15/

[1] S. Albeverio, O. G. Smolyanov, E. T. Shavgulidze, Dokl. RAN, 361:6 (1998), 727–730 | MR | Zbl

[2] Ya. A. Butko, Matem. zametki, 83:3 (2008), 333–349 | DOI | MR | Zbl

[3] A. Yu. Neklyudov, Matem. zametki, 83:4 (2008), 581–589 | DOI | MR | Zbl

[4] O. G. Smolyanov, A. G. Tokarev, A. Truman, J. Math. Phys., 43:10 (2002), 5161–5171 | DOI | MR | Zbl

[5] O. G. Smolyanov, E. T. Shavgulidze, Kontinualnye integraly, Izd-vo Mosk. un-ta, M., 1990 | MR

[6] O. G. Smolyanov, E. T. Shavgulidze, Dokl. RAN, 390:3 (2003), 321–324 | MR | Zbl

[7] O. G. Smolyanov, E. T. Shavgulidze, Dokl. RAN, 408:1 (2006), 28–33 | MR

[8] N. N. Shamarov, Matem. zametki, 75:2 (2004), 311–316 | DOI | MR | Zbl

[9] Yu. L. Daletskii, S. V. Fomin, Mery i differentsialnye uravneniya v beskonechnomernykh prostranstvakh, Nauka, M., 1983 | MR | Zbl