Group-theoretical approach to Bloch electron in magnetic field problem

2010 ◽  
Vol 51 (6) ◽  
pp. 062104
Author(s):  
Marko Ćosić
Keyword(s):  
Magnetic Field ◽  
Theoretical Approach ◽  
Field Problem ◽  
Bloch Electron

Electron propagator solution for an inhomogeneous magnetic field in the momentum space representation

2020 ◽  
Vol 35 (25) ◽  
pp. 2050150
Author(s):  
H. Hamdi ◽  
H. Benzair
Keyword(s):  
Magnetic Field ◽  
Momentum Space ◽  
Relativistic Quantum ◽  
Inhomogeneous Magnetic Field ◽  
Relativistic Quantum Mechanics ◽  
Space Representation ◽  
Integral Formalism ◽  
Field Problem ◽  
Energy Eigenvalues ◽  
Transformation Methods

The relativistic quantum mechanics of the electron in an inhomogeneous magnetic field problem is solved exactly in terms of the momentum space path integral formalism. We adopt the space–time transformation methods, which are [Formula: see text]-point discretization dependent, to evaluate quantum corrections. The propagator is calculated, the energy eigenvalues and their associated curves are illustrated. The limit case is then deduced for a small parameter.

scholarly journals Unipolar magnetic field pulses as an advantageous tool for ultrafast operations in superconducting Josephson “atoms”

2019 ◽  
Vol 10 ◽  
pp. 1548-1558
Author(s):  
Daria V Popolitova ◽  
Nikolay V Klenov ◽  
Igor I Soloviev ◽  
Sergey V Bakurskiy ◽  
Olga V Tikhonova
Keyword(s):  
Magnetic Field ◽  
Theoretical Approach ◽  
Magnetization Reversal ◽  
Population Transfer ◽  
Experimental Realization ◽  
Quantum Operations ◽  
Picosecond Time Scale ◽  
On Chip ◽  
Qubit States ◽  
Full Quantum

A theoretical approach to the consistent full quantum description of the ultrafast population transfer and magnetization reversal in superconducting meta-atoms induced by picosecond unipolar pulses of a magnetic field is developed. A promising scheme based on the regime of stimulated Raman Λ-type transitions between qubit states via upper-lying levels is suggested in order to provide ultrafast quantum operations on the picosecond time scale. The experimental realization of a circuit-on-chip for the discussed ultrafast control is presented.

Bethe-ansatz for the Bloch electron in magnetic field

1994 ◽  
Vol 72 (12) ◽  
pp. 1890-1893 ◽  
Author(s):  
P. B. Wiegmann ◽  
A. V. Zabrodin
Keyword(s):  
Magnetic Field ◽  
Bethe Ansatz ◽  
Bloch Electron
Sign in / Sign up

Export Citation Format

Share Document