Ex) Article Title, Author, Keywords
New Phys.: Sae Mulli 2020; 70: 1112-1116
Published online December 31, 2020 https://doi.org/10.3938/NPSM.70.1112
Copyright © New Physics: Sae Mulli.
Won KIM1, Sang Pyo KIM2,3*
1Department of Physics, Kunsan National University, Kunsan 54150, Korea
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.
Keywords: Landau levels, Time-dependent magnetic field, Quantum invariants, Time-dependent annihilation and creation operators