Space of State Vectors in PT Symmetrical Quantum Mechanics

Details Space of State Vectors in PT Symmetrical Quantum Mechanics Space of State Vectors in PT Symmetrical Quantum Mechanics

2001-04-16

arxiv.org/abs/quant-ph/0104077v2

J.Phys.A35:1709-1718,2002

Physics

Quantum Physics

Revised version, explicit expressions for average values and probability amplitude added

Scientific paper

10.1088/0305-4470/35/7/315

Space of states of PT symmetrical quantum mechanics is examined. Requirement that eigenstates with different eigenvalues must be orthogonal leads to the conclusion that eigenfunctions belong to the space with an indefinite metric. The self consistent expressions for the probability amplitude and average value of operator are suggested. Further specification of space of state vectors yield the superselection rule, redefining notion of the superposition principle. The expression for the probability current density, satisfying equation of continuity and vanishing for the bound state, is proposed.

Affiliated with

Also associated with

No associations

Rating

Space of State Vectors in PT Symmetrical Quantum Mechanics 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 Space of State Vectors in PT Symmetrical Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Space of State Vectors in PT Symmetrical Quantum Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683841