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PreprintCC BY 4.0arXiv

Position- and Momentum-Space Quantum Information Measures of the Double-Morse Oscillator

  • Firoz Chogle
  • Ernesto Damiani
  • Berihu Teklu
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Abstract

We investigate the quantum-information properties of a particle confined by the double Morse potential in position and momentum spaces. The quasi-exact solvability of the model gives analytical expressions for the first two bound states, allowing the corresponding probability densities to be analyzed directly. Shannon entropy, Onicescu energy, Fisher information, statistical complexity, and Fisher-Shannon products are evaluated as functions of the parameter A, which controls the transition from a well-separated double well to a merged single-well profile. The position distribution is more delocalized and structurally complex when the double-well character is pronounced, whereas the momentum distribution exhibits the complementary trend. As the wells merge, the ground-state Fisher--Shannon product approaches its Gaussian reference value, whereas the excited state retains stronger non-Gaussian structure.

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Cite

BibTeXRIS
BibTeX
@misc{chogle2026position,
  title = {{Position- and Momentum-Space Quantum Information Measures of the Double-Morse Oscillator}},
  author = {Firoz Chogle and Ernesto Damiani and Berihu Teklu},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.25953},
  eprint = {2608.25953},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.25953},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Position- and Momentum-Space Quantum Information Measures of the Double-Morse Oscillator
AU  - Firoz Chogle
AU  - Ernesto Damiani
AU  - Berihu Teklu
PY  - 2026
DA  - 2026/08/26
PB  - arXiv
DO  - 10.48550/arxiv.2608.25953
UR  - https://arxiv.org/abs/2608.25953
AB  - We investigate the quantum-information properties of a particle confined by the double Morse potential in position and momentum spaces. The quasi-exact solvability of the model gives analytical expressions for the first two bound states, allowing the corresponding probability densities to be analyzed directly. Shannon entropy, Onicescu energy, Fisher information, statistical complexity, and Fisher-Shannon products are evaluated as functions of the parameter A, which controls the transition from a well-separated double well to a merged single-well profile. The position distribution is more delocalized and structurally complex when the double-well character is pronounced, whereas the momentum distribution exhibits the complementary trend. As the wells merge, the ground-state Fisher--Shannon product approaches its Gaussian reference value, whereas the excited state retains stronger non-Gaussian structure.
ER  -