The Spectral Structure of the Electronic Black Box Hamiltonian

作者： Matthias Westrich , Vojkan Jakšić , Philip Grech , Philip Grech

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摘要: We give results on the absence of singular continuous spectrum one-particle Hamiltonian underlying electronic black box model.

参考文章(11)

Vojkan Jakšić, Topics in Spectral Theory Springer, Berlin, Heidelberg. pp. 235- 312 ,(2006) , 10.1007/3-540-33922-1_6

Walter Aschbacher, Vojkan Jakšić, Yan Pautrat, Claude-Alain Pillet, Topics in non-equilibrium quantum statistical mechanics Springer Berlin Heidelberg. pp. 1- 66 ,(2006) , 10.1007/3-540-33967-1_1

V. Jakšić, E. Kritchevski, C.-A. Pillet, Mathematical Theory of the Wigner-Weisskopf Atom Lecture Notes in Physics. ,vol. 695, pp. 145- 215 ,(2006) , 10.1007/3-540-32579-4_4

W Aschbacher, V Jakšić, Yan Pautrat, C-A Pillet, None, Transport properties of quasi-free fermions Journal of Mathematical Physics. ,vol. 48, pp. 032101- 032128 ,(2007) , 10.1063/1.2709849

Jan Dereziński, Vojkan Jakšić, Spectral Theory of Pauli–Fierz Operators Journal of Functional Analysis. ,vol. 180, pp. 243- 327 ,(2001) , 10.1006/JFAN.2000.3681

Volker Bach, Jürg Fröhlich, Israel Michael Sigal, QUANTUM ELECTRODYNAMICS OF CONFINED NONRELATIVISTIC PARTICLES Advances in Mathematics. ,vol. 137, pp. 299- 395 ,(1998) , 10.1006/AIMA.1998.1734

Joseph E Avron, Barry Simon, Transient and recurrent spectrum Journal of Functional Analysis. ,vol. 43, pp. 1- 31 ,(1981) , 10.1016/0022-1236(81)90034-3

Barry Simon, Tom Wolff, Singular continuous spectrum under rank one perturbations and localization for random hamiltonians Communications on Pure and Applied Mathematics. ,vol. 39, pp. 75- 90 ,(1986) , 10.1002/CPA.3160390105