dorsal/arxiv
View SchemaAn Information-Theoretic Approach to Quantum Theory, II: The Formal Rules of Quantum Theory
| Authors | Philip Goyal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702149 |
| URL | https://arxiv.org/abs/quant-ph/0702149 |
Abstract
In a companion paper (hereafter referred to as Paper I), we have presented an attempt to derive the finite-dimensional abstract quantum formalism from a set of physically comprehensible assumptions. In this paper, we formulate a correspondence principle, the Average-Value Correspondence Principle, that allows relations between measurement outcomes which are known to hold in a classical model of a system to be systematically taken over into the quantum model of the system. Using this principle, we derive the explicit form of the temporal evolution operator (thereby completing the derivation of the abstract quantum formalism begun in Paper I), and derive many of the formal rules (such as operator rules, commutation relations, and Dirac's Poisson bracket rule) that are needed to apply the abstract quantum formalism to model particular physical systems.
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"abstract": "In a companion paper (hereafter referred to as Paper I), we have presented an\nattempt to derive the finite-dimensional abstract quantum formalism from a set\nof physically comprehensible assumptions. In this paper, we formulate a\ncorrespondence principle, the Average-Value Correspondence Principle, that\nallows relations between measurement outcomes which are known to hold in a\nclassical model of a system to be systematically taken over into the quantum\nmodel of the system. Using this principle, we derive the explicit form of the\ntemporal evolution operator (thereby completing the derivation of the abstract\nquantum formalism begun in Paper I), and derive many of the formal rules (such\nas operator rules, commutation relations, and Dirac\u0027s Poisson bracket rule)\nthat are needed to apply the abstract quantum formalism to model particular\nphysical systems.",
"arxiv_id": "quant-ph/0702149",
"authors": [
"Philip Goyal"
],
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"quant-ph"
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"title": "An Information-Theoretic Approach to Quantum Theory, II: The Formal Rules of Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/0702149"
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