# On the construction of a pseudo-Hermitian quantum system with a pre-determined metric in the Hilbert space

@article{Ghosh2009OnTC, title={On the construction of a pseudo-Hermitian quantum system with a pre-determined metric in the Hilbert space}, author={Pijush K. Ghosh}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2009}, volume={43}, pages={125203} }

A class of pseudo-Hermitian quantum system with an explicit form of the positive-definite metric in the Hilbert space is presented. The general method involves a realization of the basic canonical commutation relations defining the quantum system in terms of operators that are Hermitian with respect to a pre-determined positive-definite metric in the Hilbert space. Appropriate combinations of these operators result in a large number of pseudo-Hermitian quantum systems admitting entirely real…

## 12 Citations

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### On regular and chaotic dynamics of a non- PT -symmetric Hamiltonian system of a coupled Duffing oscillator with balanced loss and gain

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A non- PT -symmetric Hamiltonian system of a Duffing oscillator coupled to an anti-damped oscillator with a variable angular frequency is shown to admit periodic solutions. The result implies that PT…

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### Antilinear deformations of Coxeter groups with application to Hamiltonian systems

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