Spectral inverse problem for q-deformed harmonic oscillator

Bera, Pulakesh; Datta, Jayita

doi:10.1007/s12043-006-0020-2

Cited by 7 publications

(2 citation statements)

References 29 publications

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“…Thus, according to (7) and (8), one can see that for real ( = 휂 ) the energy eigenvalues increase more rapidly than the ordinary case, and the spectrum, in this case, gets expanded. In contrast, when is a pure phase ( = 푖휂 ), the eigenvalues of the energy increase less rapidly than the ordinary case; that is, the spectrum is squeezed [47].…”

Section: -Deformed One-dimensional Harmonic Oscillatormentioning

confidence: 96%

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The Statistical Properties of theq-Deformed Dirac Oscillator in One and Two Dimensions

Boumali

Hassanabadi

2017

Advances in High Energy Physics

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We study the behavior of the eigenvalues of the one and two dimensions of -deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on the -deformed creation and annihilation operators in both dimensions. For a twodimensional case, we have used the complex formalism which reduced the problem to a problem of one-dimensional case. The influence of the -numbers on the eigenvalues has been well analyzed. Also, the connection between the -oscillator and a quantum optics is well established. Finally, for very small deformation , we (i) showed the existence of well-known -deformed version of Zitterbewegung in relativistic quantum dynamics and (ii) calculated the partition function and all thermal quantities such as the free energy, total energy, entropy, and specific heat. The extension to the case of Graphene has been discussed only in the case of a pure phase ( = 푖휂 ).

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Section: -Deformed One-dimensional Harmonic Oscillatormentioning

confidence: 96%

“…In the case of q-deformed harmonic oscillator, the creation and annihilation operators a+ and a satisfy the commutation relation [34,35] a, a + q = aa + − q −1 a + a = q N (1…”

Section: One-dimensional Q-deformed Standard Harmonic Oscillator: a R...mentioning

confidence: 99%