dorsal/arxiv
View SchemaQuantum mechanics from two physical postulates
| Authors | Mohammad Mehrafarin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402153 |
| URL | https://arxiv.org/abs/quant-ph/0402153 |
| DOI | 10.1007/s10773-005-3966-9 |
| Journal | Int. J. Theor. Phys. 44 (2005) 429 |
Abstract
For an arbitrary preparation, quantum mechanical descriptions refer to the complementary contexts set by incompatible measurements. We argue that an arbitrary preparation, therefore, should be described with respect to such a context by its degrees of disturbance (represented by real numbers) and their probability distribution (postulate 1). Measurement contexts thus provide reference frames for the preparation space of a physical system; a preparation being described by a point in this space with the aforementioned as its coordinates relative to a given measurement apparatus. However, all measurement contexts are equivalent with regard to the description of a given preparation; there is no preferred measurement (postulate 2). In the framework provided by the preparation space, we show that quantum mechanics emerges naturally from the above postulates in a new formulation which is manifestly canonical; provided the degrees of disturbance are identified with the quantum phases of the preparation with respect to (the basis furnished by) the measurement apparatus.
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"abstract": "For an arbitrary preparation, quantum mechanical descriptions refer to the\ncomplementary contexts set by incompatible measurements. We argue that an\narbitrary preparation, therefore, should be described with respect to such a\ncontext by its degrees of disturbance (represented by real numbers) and their\nprobability distribution (postulate 1). Measurement contexts thus provide\nreference frames for the preparation space of a physical system; a preparation\nbeing described by a point in this space with the aforementioned as its\ncoordinates relative to a given measurement apparatus. However, all measurement\ncontexts are equivalent with regard to the description of a given preparation;\nthere is no preferred measurement (postulate 2). In the framework provided by\nthe preparation space, we show that quantum mechanics emerges naturally from\nthe above postulates in a new formulation which is manifestly canonical;\nprovided the degrees of disturbance are identified with the quantum phases of\nthe preparation with respect to (the basis furnished by) the measurement\napparatus.",
"arxiv_id": "quant-ph/0402153",
"authors": [
"Mohammad Mehrafarin"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s10773-005-3966-9",
"journal_ref": "Int. J. Theor. Phys. 44 (2005) 429",
"title": "Quantum mechanics from two physical postulates",
"url": "https://arxiv.org/abs/quant-ph/0402153"
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