Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance

Details Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance

2008-02-07

arxiv.org/abs/0802.1063v2

Physics

Quantum Physics

J. Phys. A, accepted for publication

Scientific paper

Based on 1) the spectral resolution of the energy operator; 2) the linearity of correspondence between physical observables and quantum Hermitian operators; 3) the definition of conjugate coordinate-momentum variables in classical mechanics; and 4) the fact that the physical point in phase space remains unchanged under (canonical) transformations between one pair of conjugate variables to another, we are able to show that , the proper-time rest-energy transformation matrices, are given as a*exp[-iE_s t_s/\hbar], from which we obtain the proper-time rest -energy evolution equation i\hbar{\partial/\partial t_s} |Psi>= \hat{E_s}|Psi>. For special relativistic situations this equation can be reduced to the usual i\hbar{\partial/\partial t}|Psi>=\hat{E}|Psi> dynamical equations, where t is the "reference time" and E is the total energy. Extension of these equations to accelerating frames is then provided.

Affiliated with

Also associated with

No associations

Rating

Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derivation of the relativistic "proper-time" quantum evolution equations from Canonical Invariance will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507959