Hamiltonian Operator for Velocity-Dependent Potentials
- 20 July 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 171 (4) , 1201-1202
- https://doi.org/10.1103/physrev.171.1201
Abstract
The Hamiltonian operator for a class of velocity-dependent potentials is studied. It is shown that the Hamiltonian and the energy of the system are not simply related, and while the former is a constant of motion and does not depend on time explicitly, the latter quantity is time-dependent, and the Heisenberg equation of motion is not satisfied.Keywords
This publication has 3 references indexed in Scilit:
- Integrated Cross Section for a Velocity-Dependent PotentialPhysical Review B, 1961
- Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?Physical Review B, 1950
- A Note on the Quantization of Dissipative SystemsPhysical Review B, 1950