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The short time asymptotics of the traces of the heat kernels for the magnetic Schrödinger operators

Hiroyuki Matsumoto

Type: Article

Publication Date: 1990-10-01

Citations: 14

DOI: https://doi.org/10.2969/jmsj/04240677

Locations

  • Journal of the Mathematical Society of Japan - View - PDF

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Works That Cite This (13)

Action Title Year Authors
+ Magnetic Lieb-Thirring Inequalities and Stochastic Oscillatory Integrals 1995 László Erdős
+ On the heat trace of the magnetic Schrödinger operators on the hyperbolic plane 2006 Yuzuru Inahama
Shin-Ichi Shirai
+ PDF Chat On the asymptotics of the trace of the heat kernel for the magnetic Schrödinger operator 2001 Junichi Aramaki
+ Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator 1994 László Erdős
+ Dia- and paramagnetism for nonhomogeneous magnetic fields 1997 László Erdős
+ PDF Chat Lower Bound on Quantum Tunneling for Strong Magnetic Fields 2022 Charles Fefferman
Jacob Shapiro
Michael I. Weinstein
+ PDF Chat Heat kernels of two-dimensional magnetic Schrödinger and Pauli operators 2011 Hynek Kovařík
+ PDF Chat Magnetic Lieb-Thirring inequalities 1995 László Erdős
+ None 2002 Junichi Aramaki
Ahniyaz Nurmuhammad
+ Probabilistic methods in the study of asymptotics 1990 N. Ikeda

Works Cited by This (9)

Action Title Year Authors
+ Probabilistic methods in the study of asymptotics 1990 N. Ikeda
+ Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry 1987 Hans L. Cycon
Barry Simon
+ PDF Chat On spectra of second-order differential operators 1954 Daniel Ray
+ The effects of a magnetic field on asymptotics of the trace of the heat kernel 1988 Kristiana Odencrantz
+ Diffusion Processes and Their Sample Paths. 1996 PALE
Kiyosi Itô
H. P. McKean
+ PDF Chat Asymptotic Distribution of Eigenvalues for Schrödinger Operators with Magnetic Fields 1987 Hideo Tamura
+ Spectra of partial differential operators 1986 Martin Schechter
+ Semiclassical Analysis of Low Lying Eigenvalues, II. Tunneling 1984 Barry Simon
+ PDF Chat On Spectra of Second-Order Differential Operators 1954 Daniel Ray