scholarly journals An asymptotic solution of the Schrödinger equation for the elliptic wire in the magnetic field

2008 ◽  
Vol 41 (39) ◽  
pp. 395304
Author(s):  
I Bejenari ◽  
V Kantser
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Asymptotic Solution ◽  
Schrodinger Equation ◽  
The Magnetic Field

On an electron in a nonuniform axial magnetic field in a uniformly rotating frame

2019 ◽  
Vol 34 (33) ◽  
pp. 1950229
Author(s):  
K. Bakke ◽  
R. F. Ribeiro ◽  
C. Salvador
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Analytical Solutions ◽  
Schrodinger Equation ◽  
Symmetry Axis ◽  
Axial Magnetic Field ◽  
Radial Distance ◽  
Nonuniform Magnetic Field ◽  
Rotating Frame ◽  
The Magnetic Field

The interaction of an electron with a nonuniform axial magnetic field is analyzed in a uniformly rotating frame. In particular, the magnetic field is proportional to the square of the radial distance from the symmetry axis. Then, in search of analytical solutions to the Schrödinger equation, it is shown that these solutions are possible if the nonuniform magnetic field possesses a discrete set of values.

scholarly journals Simultaneous determination of the magnetic field and the electric potential in the Schrödinger equation by a finite number of boundary observations

2018 ◽  
Vol 26 (2) ◽  
pp. 201-209 ◽  
Author(s):  
Ibtissem Ben Aïcha ◽  
Youssef Mejri
Keyword(s):  
Magnetic Field ◽  
Schrödinger Equation ◽  
Finite Number ◽  
Electric Potential ◽  
Schrodinger Equation ◽  
Initial Conditions ◽  
Stability Estimate ◽  
Lipschitz Stability ◽  
The Magnetic Field

AbstractWe study the inverse problem of determining the magnetic field and the electric potential appearing in the magnetic Schrödinger equation from the knowledge of a finite number of lateral observations of the solution. We prove a Lipschitz stability estimate for both coefficients simultaneously by choosing the “initial” conditions suitably.

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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