dorsal/arxiv
View SchemaOn the role of Spin in Quantum Mechanics
| Authors | S. Esposito |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902019 |
| URL | https://arxiv.org/abs/quant-ph/9902019 |
| Journal | Found.Phys.Lett. 12 (1999) 165-177 |
Abstract
From the invariance properties of the Schrodinger equation and the isotropy of space we show that a generic (non-relativistic) quantum system is endowed with an ``external'' motion, which can be interpreted as the motion of the centre of mass, and an ``internal'' one, whose presence disappears in the classical limit. The latter is caused by the spin of the particle, whatever is its actual value (different from zero). The quantum potential in the Schrodinger equation, which is responsible of the quantum effects of the system, is then completely determined from the properties of the internal motion, and its ``unusual'' properties have a simple and physical explanation in the present context. From the impossibility to fix the initial conditions relevant for the internal motion follows, finally, the need of a probabilistic interpretation of quantum mechanics.
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"abstract": "From the invariance properties of the Schrodinger equation and the isotropy\nof space we show that a generic (non-relativistic) quantum system is endowed\nwith an ``external\u0027\u0027 motion, which can be interpreted as the motion of the\ncentre of mass, and an ``internal\u0027\u0027 one, whose presence disappears in the\nclassical limit. The latter is caused by the spin of the particle, whatever is\nits actual value (different from zero). The quantum potential in the\nSchrodinger equation, which is responsible of the quantum effects of the\nsystem, is then completely determined from the properties of the internal\nmotion, and its ``unusual\u0027\u0027 properties have a simple and physical explanation\nin the present context. From the impossibility to fix the initial conditions\nrelevant for the internal motion follows, finally, the need of a probabilistic\ninterpretation of quantum mechanics.",
"arxiv_id": "quant-ph/9902019",
"authors": [
"S. Esposito"
],
"categories": [
"quant-ph",
"hep-ph",
"hep-th"
],
"journal_ref": "Found.Phys.Lett. 12 (1999) 165-177",
"title": "On the role of Spin in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9902019"
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