PT Symmetry as a Generalization of Hermiticity

Details PT Symmetry as a Generalization of Hermiticity PT Symmetry as a Generalization of Hermiticity

2010-02-13

arxiv.org/abs/1002.2676v2

Physics

Quantum Physics

13 pages

Scientific paper

The Hilbert space in PT-symmetric quantum mechanics is formulated as a linear vector space with a dynamic inner product. The most general PT-symmetric matrix Hamiltonians are constructed for 2*2 and 3*3 cases. In the former case, the PT-symmetric Hamiltonian represents the most general matrix Hamiltonian with a real spectrum. In both cases, Hermitian matrices are shown to be special cases of PT-symmetric matrices. This finding confirms and strengthens the early belief that the PT-symmetric quantum mechanics is a generalization of the conventional Hermitian quantum mechanics.

Affiliated with

Also associated with

No associations

Rating

PT Symmetry as a Generalization of Hermiticity 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 PT Symmetry as a Generalization of Hermiticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and PT Symmetry as a Generalization of Hermiticity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-323852