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Phase Space Spin-Entropy.

Davi Geiger1

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Summary
This summary is machine-generated.

Quantum physics is probabilistic, with entropy quantifying randomness. This study defines spin-entropy, showing entanglement increases it and modeling its dynamic evolution.

Keywords:
entanglementgeometric quantizationphase spacequantum informationspin entropy

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics

Background:

  • Quantum states evolve deterministically, but outcomes are probabilistic per the Born rule.
  • Quantum state entropy quantifies randomness or information loss.
  • Quantum states possess degrees of freedom, including position and spin.

Purpose of the Study:

  • To define and elucidate spin-entropy, focusing on the spin degree of freedom.
  • To investigate the properties of spin-entropy.
  • To demonstrate the effect of entanglement on spin-entropy.

Main Methods:

  • Focus on the spin degree of freedom of quantum states.
  • Analysis of spin-entropy properties.
  • Development of a dynamic model for spin-entropy time evolution.

Main Results:

  • Spin-entropy is defined and its properties are presented.
  • Entanglement is shown to increase spin-entropy.
  • A dynamic model for the time evolution of spin-entropy is developed.

Conclusions:

  • Spin-entropy is a quantifiable measure of randomness in the spin degree of freedom.
  • Entanglement plays a crucial role in increasing spin-entropy.
  • The dynamic model provides insights into the temporal behavior of spin-entropy.