Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

Fumio Hiroshima

doi:10.1007/s00023-002-8615-8

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

Fumio Hiroshima

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

57 Citations (Scopus)

Abstract

The Pauli-Fierz Hamiltonian describes a system of N electrons minimally coupled to a quantized radiation field. The electrons have spin and an ultraviolet cutoff is imposed on the quantized radiation field. For arbitrary values of coupling constants, self-adjointness and essential self-adjointness of the Pauli-Fierz Hamiltonian are proven by means of a functional integral.

Original language	English
Pages (from-to)	171-201
Number of pages	31
Journal	Annales Henri Poincare
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/s00023-002-8615-8
Publication status	Published - 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Nuclear and High Energy Physics
Mathematical Physics

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10.1007/s00023-002-8615-8

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title = "Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants",

abstract = "The Pauli-Fierz Hamiltonian describes a system of N electrons minimally coupled to a quantized radiation field. The electrons have spin and an ultraviolet cutoff is imposed on the quantized radiation field. For arbitrary values of coupling constants, self-adjointness and essential self-adjointness of the Pauli-Fierz Hamiltonian are proven by means of a functional integral.",

author = "Fumio Hiroshima",

year = "2002",

doi = "10.1007/s00023-002-8615-8",

language = "English",

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PY - 2002

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AB - The Pauli-Fierz Hamiltonian describes a system of N electrons minimally coupled to a quantized radiation field. The electrons have spin and an ultraviolet cutoff is imposed on the quantized radiation field. For arbitrary values of coupling constants, self-adjointness and essential self-adjointness of the Pauli-Fierz Hamiltonian are proven by means of a functional integral.

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EP - 201

JO - Annales Henri Poincare

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ER -

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

Abstract

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