Abstract
The Hamiltonian of an ionic crystal lattice in the harmonic approximation and in the presence of a static magnetic field is diagonalized in terms of creation and annihilation operators. Phonon energies and polarizations are determined in this theory by means of the solutions of an eigenvalue problem of the first kind with twice the dimension of the corresponding problem without magnetic field. The energy eigenvalues of the Hamiltonian are linear combinations of the phonon energies ħωj(k) with integers as coefficients, just as in the case without a magnetic field. For crystals in which every ion is at a center of inversion symmetry the phonon spectrum will conserve its inversion symmetry ink-space. For crystals without inversion symmetry this will no longer be true. In every case the polarizations of the phonons will be elliptical.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
