PT-Symmetric Quantum Mechanics

Abstract

We propose a model CCS(complex-conjugate-space) to understand the inner and outer product nature of wave functions in non-hermitian PT-symmetry model in quantum mechanics considering (N × N) matrix model . Further we reflect the correct nature of C-symmetry ,P-parity , T-time reversal in matrix form and the orignal Hamiltonian matrix for any arbitrary values of N. Interestingly the present result on C and P for N=2 , remains the same reported earlier by Bender,Brody and Jones model PT-symmetry operaor . In non-conventional way one can notice that wave functions in a PT-symmetry model satifies similar relations as in hermitian operator . PACS no-03.65.Db Key wordsPT-symmetry ,Hermiticity ,wave functions , properties ,C-symmetry 1.Introduction Since the development of quantum mechanics it is well known that Wave functions in Hermitian operator satisfies the following relations[1,2]