dorsal/arxiv
View SchemaState Vector Collapse Probabilities and Separability of Independent Systems in Hughston's Stochastic Extension of the Schr\"odinger Equation
| Authors | Stephen L. Adler, Lawrence P. Horwitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904048 |
| URL | https://arxiv.org/abs/quant-ph/9904048 |
Abstract
We give a general proof that Hughston's stochastic extension of the Schr\"odinger equation leads to state vector collapse to energy eigenstates, with collapse probabilities given by the quantum mechanical probabilities computed from the initial state. We also show that for a system composed of independent subsystems, Hughston's equation separates into similar independent equations for the each of the subsystems, correlated only through the common Wiener process that drives the state reduction.
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"abstract": "We give a general proof that Hughston\u0027s stochastic extension of the\nSchr\\\"odinger equation leads to state vector collapse to energy eigenstates,\nwith collapse probabilities given by the quantum mechanical probabilities\ncomputed from the initial state. We also show that for a system composed of\nindependent subsystems, Hughston\u0027s equation separates into similar independent\nequations for the each of the subsystems, correlated only through the common\nWiener process that drives the state reduction.",
"arxiv_id": "quant-ph/9904048",
"authors": [
"Stephen L. Adler",
"Lawrence P. Horwitz"
],
"categories": [
"quant-ph"
],
"title": "State Vector Collapse Probabilities and Separability of Independent Systems in Hughston\u0027s Stochastic Extension of the Schr\\\"odinger Equation",
"url": "https://arxiv.org/abs/quant-ph/9904048"
},
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