dorsal/arxiv
View SchemaThe de Broglie-Bohm pilot-wave interpretation of quantum theory
| Authors | W. Struyve |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506243 |
| URL | https://arxiv.org/abs/quant-ph/0506243 |
Abstract
In this thesis we study the de Broglie-Bohm pilot-wave interpretation of quantum theory. We consider the domain of non-relativistic quantum theory, relativistic quantum theory and quantum field theory, and in each domain we consider the possibility of formulating a pilot-wave interpretation. For non-relativistic quantum theory a pilot-wave interpretation in terms of particle beables can readily be formulated. But this interpretation can in general not straightforwardly be generalized to relativistic wave equations. The problems which prevent us from devising a pilot-wave interpretation for relativistic wave equations also plague the standard quantum mechanical interpretation, where these problems led to the conception of quantum field theory. Therefore most of our attention is focussed on the construction of a pilot-wave interpretation for quantum field theory. We thereby favour the field beable approach, developed amongst others by Bohm, Hiley, Holland, Kaloyerou and Valentini. Although the field beable approach can be successfully applied to bosonic quantum field theory, it seems not straightforward to do so for fermionic quantum field theory.
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"abstract": "In this thesis we study the de Broglie-Bohm pilot-wave interpretation of\nquantum theory. We consider the domain of non-relativistic quantum theory,\nrelativistic quantum theory and quantum field theory, and in each domain we\nconsider the possibility of formulating a pilot-wave interpretation. For\nnon-relativistic quantum theory a pilot-wave interpretation in terms of\nparticle beables can readily be formulated. But this interpretation can in\ngeneral not straightforwardly be generalized to relativistic wave equations.\nThe problems which prevent us from devising a pilot-wave interpretation for\nrelativistic wave equations also plague the standard quantum mechanical\ninterpretation, where these problems led to the conception of quantum field\ntheory. Therefore most of our attention is focussed on the construction of a\npilot-wave interpretation for quantum field theory. We thereby favour the field\nbeable approach, developed amongst others by Bohm, Hiley, Holland, Kaloyerou\nand Valentini. Although the field beable approach can be successfully applied\nto bosonic quantum field theory, it seems not straightforward to do so for\nfermionic quantum field theory.",
"arxiv_id": "quant-ph/0506243",
"authors": [
"W. Struyve"
],
"categories": [
"quant-ph"
],
"title": "The de Broglie-Bohm pilot-wave interpretation of quantum theory",
"url": "https://arxiv.org/abs/quant-ph/0506243"
},
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