کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614460 1339291 2016 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectrum of the semi-relativistic Pauli–Fierz model I
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Spectrum of the semi-relativistic Pauli–Fierz model I
چکیده انگلیسی

A HVZ type theorem for the semi-relativistic Pauli–Fierz Hamiltonian,H=(p⊗1−A)2+M2⊗1+V⊗1+1⊗Hf,M≥0, in quantum electrodynamics is studied. Here H   is a self-adjoint operator in Hilbert space L2(Rd)⊗F≅∫Rd⊕Fdx, A=∫Rd⊕A(x)dx is a quantized radiation field and HfHf is the free field Hamiltonian defined by the second quantization of a dispersion relation ω:Rd→Rω:Rd→R. It is emphasized that massless case, M=0M=0, is included. Let E=inf⁡σ(H)E=inf⁡σ(H) be the bottom of the spectrum of H. Suppose that the infimum of ω   is m>0m>0. Then it is shown that σess(H)=[E+m,∞)σess(H)=[E+m,∞). In particular the existence of the ground state of H can be proven.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 437, Issue 1, 1 May 2016, Pages 330–349
نویسندگان
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