dorsal/arxiv
View SchemaSimple New Axioms for Quantum Mechanics
| Authors | N. P. Landsman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9604008 |
| URL | https://arxiv.org/abs/quant-ph/9604008 |
Abstract
The space P of pure states of any physical system, classical or quantum, is identified as a Poisson space with a transition probability. The latter is a function p: PxP -> [0,1]; in addition, a Poisson bracket is defined for functions on P. These two structures are connected through unitarity. Classical and quantum mechanics are each characterized by a simple axiom on the transition probability p. Unitarity then determines the Poisson bracket of quantum mechanics up to a multiplicative constant (identified with Planck's constant). Superselection rules are naturally incorporated.
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"abstract": "The space P of pure states of any physical system, classical or quantum, is\nidentified as a Poisson space with a transition probability. The latter is a\nfunction p: PxP -\u003e [0,1]; in addition, a Poisson bracket is defined for\nfunctions on P. These two structures are connected through unitarity. Classical\nand quantum mechanics are each characterized by a simple axiom on the\ntransition probability p. Unitarity then determines the Poisson bracket of\nquantum mechanics up to a multiplicative constant (identified with Planck\u0027s\nconstant). Superselection rules are naturally incorporated.",
"arxiv_id": "quant-ph/9604008",
"authors": [
"N. P. Landsman"
],
"categories": [
"quant-ph"
],
"title": "Simple New Axioms for Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/9604008"
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