Journal
MODERN PHYSICS LETTERS A
Volume 28, Issue 6, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217732313500144
Keywords
Wave equation; spinless particles; Lorentz violating term; deformed special relativity; first-order formalism; density matrix; quantum-mechanical Hamiltonian; exact solutions; external magnetic field; synchrotron radiation; quantum gravity
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The wave equation for spinless particles with the Lorentz violating term is considered. We formulate the third-order in derivatives wave equation leading to the modified dispersion relation. The first-order formalism is considered and the density matrix is obtained. The Schrodinger form of equations is presented and the quantum-mechanical Hamiltonian is found. Exact solutions of the wave equation are obtained for particles in the constant and uniform external magnetic field. The change of the synchrotron radiation radius due to quantum gravity corrections is calculated.
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