scholarly journals A unique continuation theorem for the Schrödinger equation with singular magnetic field

1997 ◽  
Vol 125 (3) ◽  
pp. 853-860 ◽  
Author(s):  
Kazuhiro Kurata
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Unique Continuation ◽  
Continuation Theorem

Effects of a non-Hermitian potential on the Landau quantization

2019 ◽  
Vol 34 (12) ◽  
pp. 1950072 ◽  
Author(s):  
B. F. Ramos ◽  
I. A. Pedrosa ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Energy Spectrum ◽  
Schrödinger Equation ◽  
Complex Potential ◽  
Schrodinger Equation ◽  
Uniform Magnetic Field ◽  
Spinless Particle ◽  
Symmetric Complex

In this work, we solve the time-independent Schrödinger equation for a Landau system modulated by a non-Hermitian Hamiltonian. The system consists of a spinless particle in a uniform magnetic field submitted to action of a non-[Formula: see text] symmetric complex potential. Although the Hamiltonian is neither Hermitian nor [Formula: see text]-symmetric, we find that the Landau problem under study exhibits an entirely real energy spectrum.

Sign in / Sign up

Export Citation Format

Share Document