Self-Adjointness of the Pauli-Fierz Hamiltonian for Arbitrary Values of Coupling Constants

Self-Adjointness of the Pauli-Fierz Hamiltonian for Arbitrary Values of Coupling Constants
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耦合常数任意值时泡利-菲尔兹哈密顿量的自共轭性

DOI:
10.1007/s00023-002-8615-8
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发表时间:
2002
期刊:
Annales Henri Poincaré
影响因子:
--
通讯作者:
F. Hiroshima
F. Hiroshima
中科院分区:
--
文献类型:
--
作者:
F. Hiroshima

文献摘要

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Pauli-Fierz哈密顿量描述了N个电子与量子化辐射场最小耦合的系统。电子具有自旋,量子化辐射场被施加紫外截止。利用泛函积分证明了Pauli-Fierz哈密顿量对任意耦合常数的自伴性和本质自伴性。
The Pauli-Fierz Hamiltonian describes a system ofNelectrons minimally coupled to a quantized radiation field. The electrons have spin and an ultraviolet cutoff is imposed on the quantized radiation field. Forarbitraryvalues of coupling constants, self-adjointness and essential self-adjointness of the Pauli-Fierz Hamiltonian are proven by means of a functional integral.