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Quantum entropy and special relativity.

Asher Peres1, Petra F Scudo, Daniel R Terno

  • 1Department of Physics, Technion-Israel Institute of Technology, 32000 Haifa, Israel.

Physical Review Letters
|June 13, 2002
PubMed
Summary
This summary is machine-generated.

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The spin entropy of a free spin-1/2 particle is not a relativistic scalar. This means spin entropy lacks invariant meaning under Lorentz transformations, impacting its interpretation in relativistic quantum mechanics.

Area of Science:

  • Quantum Mechanics
  • Relativistic Physics

Background:

  • The behavior of quantum systems under relativistic transformations is a fundamental area of study.
  • Understanding the properties of spin-1/2 particles is crucial in quantum mechanics.

Purpose of the Study:

  • To investigate the relativistic covariance of the reduced density matrix for a free spin-1/2 particle.
  • To determine if spin entropy is a relativistic scalar and possesses invariant meaning.

Main Methods:

  • Analysis of the reduced density matrix for a single free spin-1/2 particle.
  • Examination of the transformation properties of spin entropy under Lorentz transformations.

Main Results:

  • The reduced density matrix for the spin of a free spin-1/2 particle is not covariant under Lorentz transformations.

Related Experiment Videos

  • Spin entropy is not a relativistic scalar and lacks invariant meaning.

    • Conclusions:

    • The concept of spin entropy for a free spin-1/2 particle is frame-dependent.
    • The findings highlight the complexities of applying quantum mechanical concepts in a relativistic context.