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| related topics |
| {group, space, representation} |
| {field, particle, equation} |
| {energy, gaussian, time} |
| {operator, operators, space} |
| {equation, function, exp} |
| {observables, space, algebra} |
| {time, systems, information} |
| {phase, path, phys} |
| {state, states, entangled} |
| {theory, mechanics, state} |
| {time, decoherence, evolution} |
|
On Galilei Invariance in Quantum Mechanics and the Bargmann
Superselection Rule
Domenico Giulini
abstract: We reinvestigate Bargmann's superselection rule for the overall mass of $n$
particles in ordinary quantum mechanics with Galilei invariant interaction
potential. We point out that in order for mass to define a superselection rule
it should be considered as a dynamical variable. We present a minimal extension
of the original dynamics in which mass it treated as dynamical variable. Here
the classical symmetry group turns out to be given by an $\reals$-extension of
the Galilei group which formerly appeared only at the quantum level. There is
now no obstruction to implement an action of the classical symmetry group on
Hilbert space. We include some critical comments of a general nature on formal
derivations of superselection rules without dynamical context.
- oai_identifier:
- oai:arXiv.org:quant-ph/9508002
- categories:
- quant-ph gr-qc
- comments:
- 14 Pages, Plain-TeX, no figures
- doi:
- 10.1006/aphy.1996.0069
- arxiv_id:
- quant-ph/9508002
- journal_ref:
- Annals Phys. 249 (1996) 222-235
- report_no:
- Freiburg THEP-95/15
- created:
- 1995-08-02
Full article ▸
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