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Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals

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References

  1. S. Albeverio, O. G. Smolyanov, and E. T. Shavgulidze, Dokl. Ross. Akad. Nauk 361(6), 727 (1998) [Dokl. Math. 58 (1), 114 (1998)]

    MathSciNet  Google Scholar 

  2. Ya. A. Butko, Mat. Zametki 83(3), 333 (2008) [Math. Notes 83 (3), 301 (2008)].

    Article  MathSciNet  Google Scholar 

  3. A. Yu. Neklyudov, Mat. Zametki 83(4), 581 (2008) [Math. Notes 83 (4), 530 (2008)].

    Article  MathSciNet  Google Scholar 

  4. O. G. Smolyanov, A. G. Tokarev, and A. Truman, J. Math. Phys. 43(10), 5161 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  5. O. G. Smolyanov and E. T. Shavgulidze, Path Integrals (Izd. Moskovsk. Univ., Moscow, 1990) [in Russian].

    Google Scholar 

  6. O. G. Smolyanov and E. T. Shavgulidze, Dokl. Ross. Akad. Nauk 390(3), 321 (2003) [Dokl. Math. 67 (3), 369 (2003)].

    MathSciNet  Google Scholar 

  7. O. G. Smolyanov and E. T. Shavgulidze, Dokl. Ross. Akad. Nauk 408(1), 28 (2006) [Dokl. Math. 73 (3), 334 (2006)].

    MathSciNet  Google Scholar 

  8. N. N. Shamarov, Mat. Zametki 75(2), 311 (2004) [Math. Notes 75 (2), 284 (2004)].

    Article  MathSciNet  Google Scholar 

  9. Yu. L. Daletskii and S. V. Fomin, Measures and Differential Equations in Infinite-Dimensional Spaces (Nauka, Moscow, 1983) [in Russian].

    Google Scholar 

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Correspondence to A. K. Kravtseva.

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Original Russian Text © A. K. Kravtseva, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 5, pp. 788–791.

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Kravtseva, A.K. Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals. Math Notes 94, 824–828 (2013). https://doi.org/10.1134/S0001434613110175

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