dorsal/arxiv
View SchemaQuasirelativistic quasilocal finite wave-function collapse model
| Authors | Philip Pearle |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502069 |
| URL | https://arxiv.org/abs/quant-ph/0502069 |
| DOI | 10.1103/PhysRevA.71.032101 |
Abstract
A Markovian wave function collapse model is presented where the collapse-inducing operator, constructed from quantum fields, is a manifestly covariant generalization of the mass density operator utilized in the nonrelativistic Continuous Spontaneous Localization (CSL) wave function collapse model. However, the model is not Lorentz invariant because two such operators do not commute at spacelike separation, i.e., the time-ordering operation in one Lorentz frame, the "preferred" frame, is not the time-ordering operation in another frame. However, the characteristic spacelike distance over which the commutator decays is the particle's Compton wavelength so, since the commutator rapidly gets quite small, the model is "almost" relativistic. This "QRCSL" model is completely finite: unlike previous, relativistic, models, it has no (infinite) energy production from the vacuum state. QRCSL calculations are given of the collapse rate for a single free particle in a superposition of spatially separated packets, and of the energy production rate for any number of free particles: these reduce to the CSL rates if the particle's Compton wavelength is small compared to the model's distance parameter. One motivation for QRCSL is the realization that previous relativistic models entail excitation of nuclear states which exceeds that of experiment, whereas QRCSL does not: an example is given involving quadrupole excitation of the $^{74}$Ge nucleus.
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"abstract": "A Markovian wave function collapse model is presented where the\ncollapse-inducing operator, constructed from quantum fields, is a manifestly\ncovariant generalization of the mass density operator utilized in the\nnonrelativistic Continuous Spontaneous Localization (CSL) wave function\ncollapse model. However, the model is not Lorentz invariant because two such\noperators do not commute at spacelike separation, i.e., the time-ordering\noperation in one Lorentz frame, the \"preferred\" frame, is not the time-ordering\noperation in another frame. However, the characteristic spacelike distance over\nwhich the commutator decays is the particle\u0027s Compton wavelength so, since the\ncommutator rapidly gets quite small, the model is \"almost\" relativistic. This\n\"QRCSL\" model is completely finite: unlike previous, relativistic, models, it\nhas no (infinite) energy production from the vacuum state.\n QRCSL calculations are given of the collapse rate for a single free particle\nin a superposition of spatially separated packets, and of the energy production\nrate for any number of free particles: these reduce to the CSL rates if the\nparticle\u0027s Compton wavelength is small compared to the model\u0027s distance\nparameter. One motivation for QRCSL is the realization that previous\nrelativistic models entail excitation of nuclear states which exceeds that of\nexperiment, whereas QRCSL does not: an example is given involving quadrupole\nexcitation of the $^{74}$Ge nucleus.",
"arxiv_id": "quant-ph/0502069",
"authors": [
"Philip Pearle"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032101",
"title": "Quasirelativistic quasilocal finite wave-function collapse model",
"url": "https://arxiv.org/abs/quant-ph/0502069"
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