dorsal/arxiv
View SchemaQuantum Hamiltonians and Stochastic Jumps
| Authors | Detlef Duerr, Sheldon Goldstein, Roderich Tumulka, Nino Zanghi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303056 |
| URL | https://arxiv.org/abs/quant-ph/0303056 |
| DOI | 10.1007/s00220-004-1242-0 |
| Journal | Communications in Mathematical Physics 254:129-166 (2005) |
Abstract
With many Hamiltonians one can naturally associate a |Psi|^2-distributed Markov process. For nonrelativistic quantum mechanics, this process is in fact deterministic, and is known as Bohmian mechanics. For the Hamiltonian of a quantum field theory, it is typically a jump process on the configuration space of a variable number of particles. We define these processes for regularized quantum field theories, thereby generalizing previous work of John S. Bell [Phys. Rep. 137, 49 (1986)] and of ourselves [J. Phys. A: Math. Gen. 36, 4143 (2003)]. We introduce a formula expressing the jump rates in terms of the interaction Hamiltonian, and establish a condition for finiteness of the rates.
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"abstract": "With many Hamiltonians one can naturally associate a |Psi|^2-distributed\nMarkov process. For nonrelativistic quantum mechanics, this process is in fact\ndeterministic, and is known as Bohmian mechanics. For the Hamiltonian of a\nquantum field theory, it is typically a jump process on the configuration space\nof a variable number of particles. We define these processes for regularized\nquantum field theories, thereby generalizing previous work of John S. Bell\n[Phys. Rep. 137, 49 (1986)] and of ourselves [J. Phys. A: Math. Gen. 36, 4143\n(2003)]. We introduce a formula expressing the jump rates in terms of the\ninteraction Hamiltonian, and establish a condition for finiteness of the rates.",
"arxiv_id": "quant-ph/0303056",
"authors": [
"Detlef Duerr",
"Sheldon Goldstein",
"Roderich Tumulka",
"Nino Zanghi"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s00220-004-1242-0",
"journal_ref": "Communications in Mathematical Physics 254:129-166 (2005)",
"title": "Quantum Hamiltonians and Stochastic Jumps",
"url": "https://arxiv.org/abs/quant-ph/0303056"
},
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