CANONICAL QUANTIZATION OF SOME DISSIPATIVE SYSTEMS AND NONUNIQUENESS OF LAGRANGIANS
Apr, 198130 pages
Published in:
- Phys.Rev.A 23 (1981) 2776-2784
Report number:
- UR-774,
- COO-3065-294
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Abstract: (APS)
Some one-dimensional dissipative systems can be found to admit canonical-quantization procedure, contrary to opinions expressed occassionally in the literature. Also, a natural way of quantizing an equation q¨+V̇(q)=0 for a function V(q) is found to use a nonstandard commutation relation [q,π]=iℏπ together with Hamiltonian H=π+V(q). Here, π=q̇ stands for the velocity operator rather than the momentum operator. Finally, a quantization problem of a Newtonian geodesic equation of motion in nonflat space is discussed.Note:
- Revised version of UR-763
- QUANTUM MECHANICS
- MODEL: POTENTIAL
- FORCE
- MODEL: OSCILLATOR
- QUANTIZATION
- FIELD THEORY: SPACE-TIME
- general relativity
- MATHEMATICAL METHODS
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