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On the moment of inertia of a quantum harmonic oscillator |
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| Authors: | A A Khamzin A S Sitdikov A S Nikitin D A Roganov |
| Institution: | 19914. Kazan (Volga region) Federal University, Kremlevskaya ul. 18, Kazan, 420008, Republic of Tatarstan, Russia 29914. Kazan State Power-Engineering University, Krasnosel’-skaya ul. 51, Kazan, 420066, Republic of Tatarstan, Russia 39914. Open Corporation Joint-Stock Commercial Investment Bank Tatfondbank, ul. Chernyshevskogo 43/2, Kazan, 420111, Republic of Tatarstan, Russia |
| Abstract: | An original method for calculating the moment of inertia of the collective rotation of a nucleus on the basis of the cranking model with the harmonic-oscillator Hamiltonian at arbitrary frequencies of rotation and finite temperature is proposed. In the adiabatic limit, an oscillating chemical-potential dependence of the moment of inertia is obtained by means of analytic calculations. The oscillations of the moment of inertia become more pronounced as deformations approach the spherical limit and decrease exponentially with increasing temperature. |
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