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A Note on the Quantization of Dissipative Systems
Phys. Rev. 77, 396 – Published 1 February, 1950
DOI: https://doi.org/10.1103/PhysRev.77.396
Abstract
The work of E. Kanai shows that the quantization of dissipative systems by use of a Hamiltonian formalism involving the time explicitly leads to results in disagreement with experience. We discuss the quantization of dissipative systems in a manner such that the time does not enter explicitly. It is shown that in the Heisenberg representation the only kind of dissipative forces consistent with the formalism are those which are functions of the coordinates alone. There exists no Schrödinger representation unless the forces are non-dissipative.
References (4)
- E. Kanai, Prog. Theor. Phys. 3, 440 (1948)
- H. Bauer and J. H. D. Jensen, Zeits. f. Physik 124, 580 (1948)
Omitted endnote
- P. Dirac, Quantum Mechanics (Oxford University Press, New York, 1947), third edition, p. 78