Miloslav Znojil and Vít Jakubský 2005 J. Phys. A: Math. Gen. 38 5041 doi:10.1088/0305-4470/38/22/024
Solvability and 
-symmetry in a double-well model with point interactions
Miloslav Znojil and Vít Jakubský
Show affiliationsThe concept of point interactions offers one of the most suitable guides towards a quantitative analysis of properties of certain specific non-Hermitian (so-called 
-symmetric) quantum-mechanical systems. This is illustrated with a double-well model, the easy solvability of which is shown to lead to a clear picture of the mechanisms of the unavoided level crossing and of the spontaneous 
-symmetry breaking at a certain strong-non-Hermiticity boundary. Below this limit the model is shown to be suitable for an explicit illustration of technicalities related to the standard probabilistic physical interpretation of bound states in 
-symmetric quantum mechanics.
- PACS
- MSC
-
81R15 Operator algebra methods (See also 46Lxx, 81T05)
60Bxx Probability theory on algebraic and topological structures
- Subjects
- Dates
-
Issue 22 (3 June 2005)
Received 23 November 2004
Published 18 May 2005
-
Solvability and -symmetry in a double-well model with point interactions
Miloslav Znojil and Vít Jakubský 2005 J. Phys. A: Math. Gen. 38 5041
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