Stark effect in multielectron systems: Non-existence of bound states
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Publication:1825378
DOI10.1007/BF01221405zbMath0684.35079MaRDI QIDQ1825378
Publication date: 1989
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Spectral theory and eigenvalue problems for partial differential equations (35P99) Many-body theory; quantum Hall effect (81V70) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
Rellich's theorem for spherically symmetric repulsive Hamiltonians, Twelve tales in mathematical physics: An expanded Heineman prize lecture, Spectral analysis of \(N\)-body Stark Hamiltonians, Geometric theory of Stark resonances in multielectron systems, Tosio Kato's work on non-relativistic quantum mechanics. I, Lower bounds on width of Stark resonances in one dimension, Spectral theory for 1-body Stark operators, Quantum electrodynamics of confined nonrelativistic particles, Unnamed Item, Tosio Kato’s work on non-relativistic quantum mechanics, Part 2, Two-body short-range systems in a time-periodic electric field
Cites Work
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- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Geometric theory of Stark resonances in multielectron systems
- Unique continuation for Schrödinger operators with unbounded potentials
- \(L^ p-\)inequalities for the Laplacian and unique continuation
- Dilation analyticity in constant electric field. II: N-body problem, Borel summability
- Spectral and scattering theory of Schrödinger operators related to the Stark effect
- Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
- On the absence of positive eigenvalues for one-body Schrödinger operators
- Commutators and scattering theory. I: Repulsive interactions
- Lower bounds for solutions of Schrödinger equations
- Uniqueness theorems for second order elliptic differential equations