English

Negative spectrum in Harmonic oscillator under simultaneous Non-hermitian transformation of co-ordinate and momentum with Real wave function

Quantum Physics 2018-03-19 v2

Abstract

We notice that PT symmetric non-Hermitian one dimensional simple Harmonic Oscillator under simultaneous transformation of co-ordinate and momentum with proper choice of positive oscillating frequency can reflect negative spectrum with well behaved wave function in real space. We also present a suitable comuter programme to realise the negative spectrum directly. PACS(2008) : 03.65.Db

Keywords

Cite

@article{arxiv.1502.07891,
  title  = {Negative spectrum in Harmonic oscillator under simultaneous Non-hermitian transformation of co-ordinate and momentum with Real wave function},
  author = {Biswanath Rath},
  journal= {arXiv preprint arXiv:1502.07891},
  year   = {2018}
}

Comments

File for replacement. Detail wavefunction is given. Two tables and a computer programme added. Minor change in References. arXiv admin note: substantial text overlap with arXiv:1501.06161