Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians.

DOI10.1016/S0021-7824(03)00062-XzbMath1174.81317MaRDI QIDQ1415339

Mouez Dimassi, Vesselin Petkov

Publication date: 3 December 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

trace formularesonancesStark Hamiltonian

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (8)

Complex absorbing potential method for Stark resonances ⋮ A Time-Independent Approach for the Study of the Spectral Shift Function and an Application to Stark Hamiltonians ⋮ A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields ⋮ RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR ⋮ Semiclassical study of shape resonances in the Stark effect ⋮ SPECTRAL SHIFT FUNCTION FOR OPERATORS WITH CROSSED MAGNETIC AND ELECTRIC FIELDS ⋮ Scattering theory for the Schrödinger equation with repulsive potential ⋮ Applications of resonance theory without analyticity assumption

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