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Quantum Anharmonic Oscillator with Velocity- and Position-Dependent Anharmonicities: an Exactly Solvable Model under Rotating Wave Approximation |
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PP: 23-28 |
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doi:10.18576/qpl/090202
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Author(s) |
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Swapan Mandal,
Monojit Kora,
Dolan Krishna Bayen,
Arjun Mukhopadhyay,
Kartick Chandra Saha,
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Abstract |
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| The electromagnetic field coupled to a nonlinear medium of having nonvanishing polarizations and magnetizations could be modeled as a classical anharmonic oscillator with velocity- and position-dependent anharmonicities. The Hamiltonian corresponding to the quantum anharmonic oscillator with velocity- and position-dependent anharmonicities is obtained from the knowledge of its classical counterpart. Under rotating wave approximation, the solution of the oscillator with q − dependent and p − dependent anharmonicities exhibit the shifts of the resonance peak frequency. Interestingly, the shifts of the resonance peak of the oscillator due to the q − dependent anharmonicity is opposite to those of the corresponding shifts due to the p − dependent anharmonicity. Therefore, the shifts of the resonance peak frequency asserts the presence of particular anharmonicity as well (i.e p− or q−type)
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