Title of article
An asymptotic functional-integral solution for the Schrödinger equation with polynomial potential
Author/Authors
S. Albeverio، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
23
From page
1030
To page
1052
Abstract
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.
© 2009 Elsevier Inc. All rights reserved.
Keywords
Schr?dinger equation , Feynman path integrals , Asymptotic expansions , Analytic continuation of Wiener integrals , Polynomialpotential
Journal title
Journal of Functional Analysis
Serial Year
2009
Journal title
Journal of Functional Analysis
Record number
839955
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