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math-ph2009★ 2 cited
Path Integral Representation for Schroedinger Operators with Bernstein Functions of the Laplacian
Fumio Hiroshima, Takashi Ichinose, Jozsef Lorinczi
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…
math-ph2009
Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold
C. Gérard, F. Hiroshima, A. Panati +1
A scalar quantum field model defined on a pseudo Riemann manifold is considered. The model is unitarily transformed the one with a variable mass. By means of a Feynman-Kac-type for…