An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential
| Autor: | Sonia Mazzucchi, S. Albeverio |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Coupling constant
Schrödinger group Polynomial Feynman path integrals Polynomial potential Weak solution Mathematical analysis Schrödinger equation Matrix (mathematics) symbols.namesake Asymptotic expansions Analytic continuation of Wiener integrals symbols Functional integration Asymptotic expansion Analysis Mathematics |
| Zdroj: | Journal of Functional Analysis. 257:1030-1052 |
| ISSN: | 0022-1236 |
| DOI: | 10.1016/j.jfa.2009.02.005 |
| Popis: | A functional integral representation for the weak solution of the Schrödinger equation with a polynomially growing potential is proposed in terms of an analytically continued Wiener integral. The asymptotic expansion in powers of the coupling constant λ of the matrix elements of the Schrödinger group is studied and its Borel summability is proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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