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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-22 1:47 |
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Conference: Bucharest University Faculty of Physics 2013 Meeting
Section: Theoretical Physics and Applied Mathematics
Title:
Charged particle in magnetic field. Relation between the wave functions in the Landau and Symmetric gauge
Authors:
Cristian Iorga, Virgil Baran
Affiliation:
Faculty of Physics, University of Bucharest
E-mail
criiorga@gmail.com
Keywords:
Landau gauge, Symmetric gauge, unitary transformation, magnetic field in quantum mechanics, Quantum Hall effect
Abstract:
To describe the physical features of the charged particle in a magnetic field there are two very used gauges: Landau gauge (which is invariant to translations) and Symmetric gauge (that is invariant to rotations). The wave functions in the two gauges look very different because we diagonalize different operators along with the Hamiltonian in each case, so we will use a unitary transformation to pass from one base to the other.I found a way to determine the coefficients of the unitary transformation matrix, and for appropriate boundary conditions I obtain the normalization close to unity.
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