Path integral representation for Schrödinger operators with Bernstein Functions of the Laplacian

Path integral representations for generalized Schrödinger operators obtained under a class of Bernstein functions of the Laplacian are established. The one-to-one correspondence of Bernstein functions with Lévy subordinators is used, thereby the role of Brownian motion entering the standard Feynman–...

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Bibliographic Details
Main Authors: Fumio Hiroshima, Takashi Ichinose, Jozsef Lorinczi
Format: Default Article
Published: 2012
Subjects:
Other mathematical sciences not elsewhere classified
Feynman-Kac formula
Generalized Schrodinger operator
Bernstein function
Levy process
Spin
Subordinator
Poisson process
Heat semigroup
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/21957
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