Heat kernel asymptotics for magnetic Schrödinger operators

Jens Bolte; Stefan Keppeler

doi:10.1063/1.4829061

Heat kernel asymptotics for magnetic Schrödinger operators

Jens Bolte, Stefan Keppeler

Research output: Contribution to journal › Article › peer-review

Abstract

We explicitly construct parametrices for magnetic Schrödinger operators on $\R^d$ and prove that they provide a complete small-t expansion for the corresponding heat kernel, both on and off the diagonal.

Original language	English
Article number	112104
Journal	Journal of Mathematical Physics
Volume	54
Issue number	11
DOIs	https://doi.org/10.1063/1.4829061
Publication status	Published - Nov 2013

Access to Document

10.1063/1.4829061

http://scitation.aip.org/content/aip/journal/jmp/54/11/10.1063/1.4829061

Cite this

@article{f818512ab12444fc94cea46c7faa0d17,

title = "Heat kernel asymptotics for magnetic Schr{\"o}dinger operators",

abstract = "We explicitly construct parametrices for magnetic Schr{\"o}dinger operators on \$\textbackslash{}R\textasciicircum{}d\$ and prove that they provide a complete small-t expansion for the corresponding heat kernel, both on and off the diagonal.",

author = "Jens Bolte and Stefan Keppeler",

year = "2013",

month = nov,

doi = "10.1063/1.4829061",

language = "English",

volume = "54",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "11",

}

TY - JOUR

T1 - Heat kernel asymptotics for magnetic Schrödinger operators

AU - Bolte, Jens

AU - Keppeler, Stefan

PY - 2013/11

Y1 - 2013/11

N2 - We explicitly construct parametrices for magnetic Schrödinger operators on $\R^d$ and prove that they provide a complete small-t expansion for the corresponding heat kernel, both on and off the diagonal.

AB - We explicitly construct parametrices for magnetic Schrödinger operators on $\R^d$ and prove that they provide a complete small-t expansion for the corresponding heat kernel, both on and off the diagonal.

U2 - 10.1063/1.4829061

DO - 10.1063/1.4829061

M3 - Article

SN - 0022-2488

VL - 54

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

M1 - 112104

ER -