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Structural Statistical Quantifiers and Thermal Features of Quantum Systems.

Flavia Pennini1,2, Angelo Plastino3,4, Angel Ricardo Plastino5

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Summary
This summary is machine-generated.

This study introduces novel thermal quantifiers, L. Ruiz, Mancini, and Calvet (LMC) quantifiers, and links them to Heisenberg uncertainties and nuclear physics models. These connections extend to classical and semi-classical physics.

Keywords:
disequilibriumsemi-classical distributionsthermal uncertainties

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Area of Science:

  • Statistical physics
  • Quantum mechanics
  • Nuclear physics

Background:

  • Novel thermal quantifiers, L. Ruiz, Mancini, and Calvet (LMC) quantifiers, are gaining importance in physics and other sciences.
  • Understanding the relationship between these quantifiers and fundamental physical concepts is crucial.

Purpose of the Study:

  • To establish information-theoretical connections between LMC quantifiers and thermal Heisenberg uncertainties.
  • To explore the link between LMC quantifiers and a nuclear physics fermion model.
  • To extend these established bridges to semi-classical and classical domains.

Main Methods:

  • Utilizing information-theoretical approaches to bridge LMC quantifiers with Heisenberg uncertainties.
  • Applying a nuclear physics fermion model to investigate related quantifiers.
  • Analyzing the applicability of derived relationships in different physical regimes.

Main Results:

  • Successful establishment of information-theoretical bridges between LMC quantifiers and thermal Heisenberg uncertainties (ΔxΔp at temperature T).
  • Demonstrated connections between LMC quantifiers and a nuclear physics fermion model.
  • Found a strict bound relating a specific LMC quantifier to quantum uncertainties.

Conclusions:

  • The study successfully links novel thermal quantifiers (LMC) to fundamental concepts in quantum mechanics and nuclear physics.
  • The established information-theoretical bridges show validity across quantum, semi-classical, and classical realms.
  • A significant finding is the strict bound identified between an LMC quantifier and quantum uncertainties.