|
related topics |
{let, theorem, proof} |
{field, particle, equation} |
{equation, function, exp} |
{theory, mechanics, state} |
{time, wave, function} |
{operator, operators, space} |
{observables, space, algebra} |
{particle, mechanics, theory} |
{classical, space, random} |
{measurement, state, measurements} |
{information, entropy, channel} |
{force, casimir, field} |
{time, decoherence, evolution} |
{energy, state, states} |
|
On the Global Existence of Bohmian Mechanics
K. Berndl, D. Dürr, S. Goldstein, G. Peruzzi, N. Zanghì
abstract: We show that the particle motion in Bohmian mechanics, given by the solution
of an ordinary differential equation, exists globally: For a large class of
potentials the singularities of the velocity field and infinity will not be
reached in finite time for typical initial values. A substantial part of the
analysis is based on the probabilistic significance of the quantum flux. We
elucidate the connection between the conditions necessary for global existence
and the self-adjointness of the Schr\"odinger Hamiltonian.
- oai_identifier:
- oai:arXiv.org:quant-ph/9503013
- categories:
- quant-ph
- comments:
- 35 pages, LaTex
- doi:
- 10.1007/BF02101660
- arxiv_id:
- quant-ph/9503013
- journal_ref:
- Commun.Math.Phys. 173 (1995) 647-674
- report_no:
- gk-mp-9408/8 (To appear in Comm. Math. Phys.)
- created:
- 1995-03-09
Full article ▸
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