B Bagchi et al 2006 J. Phys. A: Math. Gen. 39 L127 doi:10.1088/0305-4470/39/6/L01
Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
FREE ARTICLEB Bagchi1, C Quesne2 and R Roychoudhury3
Show affiliationsLETTER TO THE EDITOR
We formulate a systematic algorithm for constructing a whole class of Hermitian position-dependent-mass Hamiltonians which, to lowest order of perturbation theory, allow a description in terms of 
-symmetric Hamiltonians. The method is applied to the Hermitian analogue of the 
-symmetric cubic anharmonic oscillator. A new example is provided by a Hamiltonian (approximately) equivalent to a 
-symmetric extension of the one-parameter trigonometric Pöschl–Teller potential.
- PACS
- MSC
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47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.)
- Subjects
- Dates
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Issue 6 (10 February 2006)
Received 17 November 2005, in final form 15 December 2005
Published 25 January 2006
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Pseudo-Hermitian versus Hermitian position-dependent-mass Hamiltonians in a perturbative framework
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