Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field

Fumio Hiroshima

doi:10.1142/S0129055X9600007X

Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field

Fumio Hiroshima

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15 Citations (Scopus)

Abstract

By unitary transformations (gauge transformations, the Bogoliubov transformations) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of quantum electrodynamics (QED) and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some generalized Kato's inequalities are obtained.

Original language	English
Pages (from-to)	185-203
Number of pages	19
Journal	Reviews in Mathematical Physics
Volume	8
Issue number	2
DOIs	https://doi.org/10.1142/S0129055X9600007X
Publication status	Published - Feb 1996
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1142/S0129055X9600007X

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abstract = "By unitary transformations (gauge transformations, the Bogoliubov transformations) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of quantum electrodynamics (QED) and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some generalized Kato's inequalities are obtained.",

author = "Fumio Hiroshima",

year = "1996",

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doi = "10.1142/S0129055X9600007X",

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N2 - By unitary transformations (gauge transformations, the Bogoliubov transformations) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of quantum electrodynamics (QED) and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some generalized Kato's inequalities are obtained.

AB - By unitary transformations (gauge transformations, the Bogoliubov transformations) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of quantum electrodynamics (QED) and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some generalized Kato's inequalities are obtained.

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ER -

Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field

Abstract

All Science Journal Classification (ASJC) codes

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