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

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