Trace Formulae and High Energy Asymptotics for the Stark Operator

DOI10.1081/PDE-120020498zbMath1106.35305OpenAlexW2030330694MaRDI QIDQ4807609

Alexander Pushnitski, Evgeny L. Korotyaev

Publication date: 19 May 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-120020498

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) (2)-body potential quantum scattering theory (81U05)

Related Items (12)

New trace formulas in terms of resonances for three-dimensional Schrödinger operators ⋮ A Time-Independent Approach for the Study of the Spectral Shift Function and an Application to Stark Hamiltonians ⋮ Trace formulas for a complex KdV equation ⋮ Trace formulas for time periodic complex Hamiltonians on lattice ⋮ Inverse problems, trace formulae for discrete Schrödinger operators ⋮ A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields ⋮ Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. ⋮ Trace formulas for Schrödinger operators on a lattice ⋮ Trace formulas for Schrödinger operators with complex potentials on a half line ⋮ Eigenvalue bounds for Stark operators with complex potentials ⋮ Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg–de Vries equation ⋮ Trace formulas for Schrödinger operators with complex potentials

Cites Work

• Unitary equivalence of Stark Hamiltonians
• Spectral and scattering theory of Schrödinger operators related to the Stark effect

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