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Quantum Dynamics and Frequency Shift of a Periodically Driven Multi-photon Anharmonic Oscillator

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Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 230))

Abstract

The Hamiltonian and hence the relevant equations of motion involving the dynamics of a driven classical anharmonic oscillator with 2m–th anharmonicity are framed. By neglecting the nonsynchronous energy terms, we derive the model of a driven multi-photon (2m–th) quantum anharmonic oscillator. The dynamical nature of the field operators is expressed in terms of the coupling constant, excitation number and the driven parameter. The solutions presented here are fully analytical and are exact in nature.

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Acknowledgements

The author is thankful to the University Grants Commission, New Delhi for financial support through a major research project (F.No.42-852/2013(SR)). SM is also thankful to the Council of Scientific and Industrial Research (CSIR), New Delhi for financial support (03(1283)/13/EMR-II). DKB thanks the CSIR for awarding the JRF (09/202(0062)/2017-EMR-I).

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Authors and Affiliations

  1. Department of Physics, Visva-Bharati, Santiniketan, 731235, India

    Dolan Krishna Bayen & Swapan Mandal

Authors
  1. Dolan Krishna Bayen
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  2. Swapan Mandal
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Corresponding author

Correspondence to Swapan Mandal .

Editor information

Editors and Affiliations

  1. Indian Institute of Technology Tirupati, Tirupati, India

    P. C. Deshmukh

  2. Raman Research Institute, Bangalore, India

    E. Krishnakumar

  3. Helmholtz Institute Jena, Jena, Germany

    Stephan Fritzsche

  4. Tata Institute of Fundamental Research, Mumbai, India

    M. Krishnamurthy

  5. Indian Institute of Technology Kharagpur, Kharagpur, India

    Sonjoy Majumder

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Bayen, D.K., Mandal, S. (2019). Quantum Dynamics and Frequency Shift of a Periodically Driven Multi-photon Anharmonic Oscillator. In: Deshmukh, P., Krishnakumar, E., Fritzsche, S., Krishnamurthy, M., Majumder, S. (eds) Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons. Springer Proceedings in Physics, vol 230. Springer, Singapore. https://doi.org/10.1007/978-981-13-9969-5_8

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  • DOI: https://doi.org/10.1007/978-981-13-9969-5_8

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-9968-8

  • Online ISBN: 978-981-13-9969-5

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