Record number :

871483

Title of article :

Generalized metric phase space for quantum systems and the uncertainty principle

Author/Authors :

C.M. Sarris، نويسنده , , A.N. Proto، نويسنده ,

Issue Information :

روزنامه با شماره پیاپی سال 2007

Pages :

10

From page :

33

To page :

42

Abstract :

We demonstrate that when the Gibbs entropy is an invariant of motion, following Information Theory procedures it is possible to define a generalized metric phase space for the temporal evolution of the mean values of a given Hamiltonian. The metric is positive definite and this fact leads to a metric tensor, K(t), whose properties are well defined. Working with these properties we shown that: (a) the Generalized Uncertainty Principle (GUP), is always the summation over the principal minors of order 2 belonging to K(t); (b) several invariants of motion can be derived from the metric tensor; and (c) particularly, under certain conditions, the GUP itself, is also a motion invariant.

Journal title :

Physica A Statistical Mechanics and its Applications

Serial Year :

2007

Link To Document :