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Magneto‐optical properties of a spinless particle moving in a harmonic potential
Author(s) -
Datta Sambhu,
Richardson F. S.
Publication year - 1977
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560110402
Subject(s) - physics , harmonic oscillator , dipole , magnetic field , eigenvalues and eigenvectors , observable , quantum mechanics , wave function , quantum , anisotropy , field (mathematics) , quantum electrodynamics , mathematics , pure mathematics
Exact solutions to the quantum mechanical problem of an anisotropic oscillator in a one‐dimensional magnetic field are obtained. These solutions (eigenenergies and wave functions) are then applied to the problem of calculating the magneto‐optical properties of a charged spinless particle constrained to move in a harmonic potential field. General expressions for the dipole strengths and rotational strengths associated with radiation induced transitions between the eigenstates of this model system are developed, and these quantities are further related to observables of magneto‐optical absorption spectroscopy and Faraday effect studies.