Quantum Hamiltonians and Stochastic Jumps

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dc.creatorDuerr, Detlef
dc.creatorGoldstein, Sheldon
dc.creatorTumulka, Roderich
dc.creatorZanghi, Nino
dc.date2003-03-11
dc.date2004-07-15
dc.date.accessioned2026-07-07T06:06:18Z
dc.date.available2026-07-07T06:06:18Z
dc.descriptionWith 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.
dc.description43 pages LaTeX, no figures. The old version v2 has been divided in two parts, the first of which is the present version v3, and the second of which is available as quant-ph/0407116
dc.identifierhttps://arxiv.org/abs/quant-ph/0303056
dc.identifierhttp://arxiv.org/abs/quant-ph/0303056
dc.identifierCommunications in Mathematical Physics 254:129-166 (2005)
dc.identifierdoi:10.1007/s00220-004-1242-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90927
dc.subjectQuantum Physics
dc.titleQuantum Hamiltonians and Stochastic Jumps
dc.typetext

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