Partial Separation of the Schrödinger Equation for Two Charged Particles in a Magnetic Field

1969 ◽  
Vol 10 (4) ◽  
pp. 788-791 ◽  
Author(s):  
Benjamin P. Carter
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Charged Particles ◽  
Partial Separation

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.

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