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- Title
Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields.
- Authors
Dimassi, Mouez; Kawamoto, Masaki; Petkov, Vesselin
- Abstract
In the presence of the homogeneous electric field E and the homogeneous perpendicular magnetic field B , the classical trajectory of a quantum particle on ℝ 2 moves with drift velocity α which is perpendicular to the electric and magnetic fields. For such Hamiltonians, the absence of the embedded eigenvalues of perturbed Hamiltonian has been conjectured. In this paper, one proves this conjecture for the perturbations V (x , y) which have sufficiently small support in the direction of drift velocity.
- Subjects
ELECTRIC fields; MAGNETIC fields; EIGENVALUES; QUANTUM trajectories; PARTICLE tracks (Nuclear physics)
- Publication
Reviews in Mathematical Physics, 2021, Vol 33, Issue 6, pN.PAG
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X21500203