Pauli-Fierz model with Kato-class potentials and exponential decays

Takeru Hidaka; Fumio Hiroshima

doi:10.1142/S0129055X10004181

Pauli-Fierz model with Kato-class potentials and exponential decays

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Abstract

Generalized PauliFierz Hamiltonian with Kato-class potential K_PF in nonrelativistic quantum electrodynamics is defined and studied by a path measure. K_PF is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.

Original language	English
Pages (from-to)	1181-1208
Number of pages	28
Journal	Reviews in Mathematical Physics
Volume	22
Issue number	10
DOIs	https://doi.org/10.1142/S0129055X10004181
Publication status	Published - Nov 2010

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X10004181

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title = "Pauli-Fierz model with Kato-class potentials and exponential decays",

abstract = "Generalized PauliFierz Hamiltonian with Kato-class potential KPF in nonrelativistic quantum electrodynamics is defined and studied by a path measure. KPF is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.",

keywords = "PauliFierz model, exponential decay, functional integrations, ground states",

author = "Takeru Hidaka and Fumio Hiroshima",

note = "Funding Information: FH acknowledges support of Grant-in-Aid for Science Research (B) 20340032 from JSPS and Grant-in-Aid for Challenging Exploratory Research 22654018 from JSPS.",

year = "2010",

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doi = "10.1142/S0129055X10004181",

language = "English",

volume = "22",

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T1 - Pauli-Fierz model with Kato-class potentials and exponential decays

AU - Hidaka, Takeru

AU - Hiroshima, Fumio

N1 - Funding Information: FH acknowledges support of Grant-in-Aid for Science Research (B) 20340032 from JSPS and Grant-in-Aid for Challenging Exploratory Research 22654018 from JSPS.

PY - 2010/11

Y1 - 2010/11

N2 - Generalized PauliFierz Hamiltonian with Kato-class potential KPF in nonrelativistic quantum electrodynamics is defined and studied by a path measure. KPF is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.

AB - Generalized PauliFierz Hamiltonian with Kato-class potential KPF in nonrelativistic quantum electrodynamics is defined and studied by a path measure. KPF is defined as the self-adjoint generator of a strongly continuous one-parameter symmetric semigroup and it is shown that its bound states spatially exponentially decay pointwise and the ground state is unique.

KW - PauliFierz model

KW - exponential decay

KW - functional integrations

KW - ground states

UR - https://www.scopus.com/pages/publications/78649526477

UR - https://www.scopus.com/pages/publications/78649526477#tab=citedBy

U2 - 10.1142/S0129055X10004181

DO - 10.1142/S0129055X10004181

M3 - Article

AN - SCOPUS:78649526477

SN - 0129-055X

VL - 22

SP - 1181

EP - 1208

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 10

ER -

Pauli-Fierz model with Kato-class potentials and exponential decays

Abstract

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