Tag D. Dutta

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Pseudo Hermitian Generalized Dirac Oscillators

Jan 11, ’13 7:57 AM

D. Dutta, O. Panella, P. Roy

We study generalized Dirac oscillators with complex interactions in \((1+1)\) dimensions. It is shown that for the choice of interactions considered here, the Dirac Hamiltonians are \(\eta\) pseudo Hermitian with respect to certain metric operators \(\eta\). Exact solutions of the generalized Dirac Oscillator for some choices of the interactions have also been obtained. It is also shown that generalized Dirac oscillators can be identified with Anti Jaynes Cummings type model and by spin flip it can also be identified with Jaynes Cummings type model.

http://arxiv.org/abs/1301.2035
Mathematical Physics (math-ph); High Energy Physics – Theory (hep-th); Quantum Physics (quant-ph)

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Study of classical mechanical systems with complex potentials

Jan 7, ’11 11:52 PM

A. Sinha, D. Dutta, P. Roy

We apply the factorization technique developed by Kuru and Negro [Ann. Phys. 323 (2008) 413] to study complex classical systems. As an illustration we apply the technique to study the classical analogue of the exactly solvable PT symmetric Scarf II model, which exhibits the interesting phenomenon of spontaneous breakdown of PT symmetry at some critical point. As the parameters are tuned such that energy switches from real to complex conjugate pairs, the corresponding classical trajectories display a distinct characteristic feature – the closed orbits become open ones.

http://arxiv.org/abs/1101.0909
Quantum Physics (quant-ph)
Physics Letters A : vol. 375 (2011) p 452-457

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