dorsal/arxiv
View SchemaHidden Variables, Non Contextuality and Einstein-Locality in Quantum Mechanics
| Authors | Virendra Singh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507182 |
| URL | https://arxiv.org/abs/quant-ph/0507182 |
Abstract
We discuss the problem of hidden variables and the motivation for introducting them in quantum mechanics. These include determinism, and the problem of meassurement and incompleteness. We first discuss Von-Neumann's imposisbility proof and then analyse it's weakness in terms of Bell's explicit hidden variable model of spin one-half particles. We next discuss Gleason's theorem and Kochen-Specker theorem and bring out the troublems with non contextual hidden variable theories. An important role is played by Einstein locality in the discussion of hidden variable theories as was first brought out by Einstein, Podolsky and Rosen. We elaborate it's various implications such as Bell's theorem in terms of Bell's inequalities as well as later work in which Bell's theorem follows without using inequalities.
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"abstract": "We discuss the problem of hidden variables and the motivation for\nintroducting them in quantum mechanics. These include determinism, and the\nproblem of meassurement and incompleteness. We first discuss Von-Neumann\u0027s\nimposisbility proof and then analyse it\u0027s weakness in terms of Bell\u0027s explicit\nhidden variable model of spin one-half particles. We next discuss Gleason\u0027s\ntheorem and Kochen-Specker theorem and bring out the troublems with non\ncontextual hidden variable theories. An important role is played by Einstein\nlocality in the discussion of hidden variable theories as was first brought out\nby Einstein, Podolsky and Rosen. We elaborate it\u0027s various implications such as\nBell\u0027s theorem in terms of Bell\u0027s inequalities as well as later work in which\nBell\u0027s theorem follows without using inequalities.",
"arxiv_id": "quant-ph/0507182",
"authors": [
"Virendra Singh"
],
"categories": [
"quant-ph"
],
"title": "Hidden Variables, Non Contextuality and Einstein-Locality in Quantum Mechanics",
"url": "https://arxiv.org/abs/quant-ph/0507182"
},
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