dorsal/arxiv
View SchemaDynamical Semigroup Description of Coherent and Incoherent Particle-Matter Interaction
| Authors | L. Lanz, B. Vacchini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9702051 |
| URL | https://arxiv.org/abs/quant-ph/9702051 |
| DOI | 10.1007/BF02435772 |
| Journal | Int.J.Theor.Phys. 36 (1997) 67-88 |
Abstract
The meaning of statistical experiments with single microsystems in quantum mechanics is discussed and a general model in the framework of non-relativistic quantum field theory is proposed, to describe both coherent and incoherent interaction of a single microsystem with matter. Compactly developing the calculations with superoperators, it is shown that the introduction of a time scale, linked to irreversibility of the reduced dynamics, directly leads to a dynamical semigroup expressed in terms of quantities typical of scattering theory. Its generator consists of two terms, the first linked to a coherent wavelike behaviour, the second related to an interaction having a measuring character, possibly connected to events the microsystem produces propagating inside matter. In case these events breed a measurement, an explicit realization of some concepts of modern quantum mechanics ("effects" and "operations") arises. The relevance of this description to a recent debate questioning the validity of ordinary quantum mechanics to account for such experimental situations as, e.g., neutron-interferometry, is briefly discussed.
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"abstract": "The meaning of statistical experiments with single microsystems in quantum\nmechanics is discussed and a general model in the framework of non-relativistic\nquantum field theory is proposed, to describe both coherent and incoherent\ninteraction of a single microsystem with matter. Compactly developing the\ncalculations with superoperators, it is shown that the introduction of a time\nscale, linked to irreversibility of the reduced dynamics, directly leads to a\ndynamical semigroup expressed in terms of quantities typical of scattering\ntheory. Its generator consists of two terms, the first linked to a coherent\nwavelike behaviour, the second related to an interaction having a measuring\ncharacter, possibly connected to events the microsystem produces propagating\ninside matter. In case these events breed a measurement, an explicit\nrealization of some concepts of modern quantum mechanics (\"effects\" and\n\"operations\") arises. The relevance of this description to a recent debate\nquestioning the validity of ordinary quantum mechanics to account for such\nexperimental situations as, e.g., neutron-interferometry, is briefly discussed.",
"arxiv_id": "quant-ph/9702051",
"authors": [
"L. Lanz",
"B. Vacchini"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BF02435772",
"journal_ref": "Int.J.Theor.Phys. 36 (1997) 67-88",
"title": "Dynamical Semigroup Description of Coherent and Incoherent Particle-Matter Interaction",
"url": "https://arxiv.org/abs/quant-ph/9702051"
},
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