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Landau states in time-dependent magnetic fields

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Title
Landau states in time-dependent magnetic fields
Author(s)
Kim, Won; Sang Pyo Kim
Publication Date
2020-12
Journal
New Physics: Sae Mulli, v.70, no.11, pp.1112 - 1116
Publisher
Korean Physical Society
Abstract
We present the oscillator representation of the Pauli Hamiltonian for a scalar charge in a magnetic field and find a basis that diagonalizes the Hamiltonian in the special case of a constant or slowly varying magnetic field. We show that the diagonalization of the new basis is a canonical transformation in phase space, which leads to the Pauli Hamiltonian and counts the degeneracy of the Landau levels. Finally, we obtain the Liouville-von Neumann equation for quantum invariants as the annihilation and the creation operators for a scalar charge in time-dependent magnetic fields.
URI
https://pr.ibs.re.kr/handle/8788114/9110
DOI
10.3938/NPSM.70.1112
ISSN
0374-4914
Appears in Collections:
Center for Relativistic Laser Science(초강력 레이저과학 연구단) > 1. Journal Papers (저널논문)
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