Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials

Authors
Citation
Z. Ahmed, Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials, PHYS LETT A, 290(1-2), 2001, pp. 19-22
Citations number
18
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
0375-9601 → ACNP
Volume
290
Issue
1-2
Year of publication
2001
Pages
19 - 22
Database
ISI
SICI code
0375-9601(20011105)290:1-2<19:POHUIS>2.0.ZU;2-1
Abstract
We propose that the real spectrum and the orthogonality of the states for s everal known complex potentials of both types, PT-symmetric and non-PT-symm etric, can be understood in terms of currently proposed eta -pseudo-Hermiti city (A. Mostafazadeh, math-ph/0107001) of a Hamiltonian, provided the Herm itian linear automorphism, eta, is introduced as e(-thetap) which affects a n imaginary shaft of the coordinate: e-(thetap)xe(thetap) = x + i theta. (C ) 2001 Elsevier Science B.V. All rights reserved.