PT−symmetric harmonic oscillators
✍ Scribed by Miloslav Znojil
- Book ID
- 104337601
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 57 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
Within the framework of the recently proposed formalism using non-hermitean Hamiltonians constrained merely by their P PT T invariance we describe a new exactly solvable family of the harmonic-oscillator-like potentials with non-equidistant spectrum.
📜 SIMILAR VOLUMES
The main purpose of this Letter is to introduce a new class of non-linear oscillator equations which model generalized one-dimensional harmonic oscillators and provide a preliminary analysis of some of their important properties. These equations take the form
Ž . w Ž .x ) P PT T invariance of complex potentials V x s V yx combines their real symmetry with imaginary antisymmetry. Ž . Ž We describe a new exactly solvable model of this type. Its spectrum proves real, discrete and 'three-fold', ´s ´j s 2 n n . 2 q a , n s 0,1, . . . , with a G 0 and j s 1,2,
INT~ODUCTIO:~