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Quantum chaos in atoms and molecules under strong external fields

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Abstract

Nonlinear dynamics in quantum theory is an old area which has received considerable recent impetus. In particular, the possibility and detection of chaos in the quantum realm is a topic with far-reaching consequences. The time-independent features of quantum systems with classically chaotic counterparts had been explored before by a number of workers. However, dynamical signatures of chaos in quantum systems independent of classically chaotic counterparts is still a relatively new area of research. This article recounts our research in that direction which yielded (1) a new dynamical signature of quantum chaos; (2) a methodology to discuss chaos even for systems where classical analogues do not exist; and (3) a connection between the dynamics of atomic and molecular systems under strong external forces and dynamical quantum chaos. These aspects are briefly described here.

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Fig. 1

(Taken from Ref. [43], Courtesy: Pramana-J. Phys.)

Fig. 2

(Taken from Ref. [44], Courtesy: Chem. Phys.)

Fig. 3

(Taken from Ref. [47], Courtesy: J. Mol. Model.)

Fig. 4

(Taken from Ref. [40], Courtesy: Eur. Phys. Lett.)

Fig. 5

(Taken from Ref. [67], Courtesy: Molecular Physics)

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Acknowledgements

MS thanks IIT Kanpur (IITK/CHM/2018419) and SERB (SRG/2019/00036) for partial support. BMD gratefully acknowledges the pleasure of collaborating with his former doctoral and post-doctoral co-workers over five decades.

Funding

MS acknowledges IIT Kanpur for initiation grant IITK/CHM/2018419 and SERB, India for start-up research grant SRG/2019/00036 for partial support.

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Authors and Affiliations

  1. Department of Chemistry, Indian Institute of Technology Kanpur, Kanpur, 208016, India

    Mainak Sadhukhan

  2. 48/29 Swiss Park, 700033, Kolkata, India

    B. M. Deb

Authors
  1. Mainak Sadhukhan
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  2. B. M. Deb
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Both M.S. and B. M. D contributed in writing the manuscript.

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Correspondence to Mainak Sadhukhan.

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The authors felicitate Professor Pratim Kumar Chattaraj on his sixty-fifth birth anniversary and congratulate him on his significant contributions in theoretical chemistry.

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Sadhukhan, M., Deb, B.M. Quantum chaos in atoms and molecules under strong external fields. Theor Chem Acc 142, 47 (2023). https://doi.org/10.1007/s00214-023-02984-z

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