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.
An Asymptotic Functional-Integral solution for the Schrödinger Equation with Polynomial Potential / Albeverio, S.; Mazzucchi, S.. - ELETTRONICO. - (2009), pp. 1-25.
An Asymptotic Functional-Integral solution for the Schrödinger Equation with Polynomial Potential
Albeverio, S.;Mazzucchi, S.
2009-01-01
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.File in questo prodotto:
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