The Stochastic Representation of Hamiltonian Dynamics and The Quantization of Time

Autor:	Brown, Matthew F.
Rok vydání:	2011
Předmět:	Mathematical Physics Physics - History and Philosophy of Physics Quantum Physics 81P05
Druh dokumentu:	Working Paper
Popis:	Here it is shown that the unitary dynamics of a quantum object may be obtained as the conditional expectation of a counting process of object-clock interactions. Such a stochastic process arises from the quantization of the clock, and this is derived naturally from the matrix-algebra representation of the nilpotent Newton-Leibniz time differential [Belavkin]. It is observed that this condition expectation is a rigorous formulation of the Feynman Path Integral. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.7043 Zobrazit plný text záznamu View this record from Arxiv