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Evanescent Electron Wave-Spin.

Ju Gao1, Fang Shen1

  • 1Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801, USA.

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Summary
This summary is machine-generated.

An evanescent electron wave exists outside quantum wells, carrying spin information. This implies quantum information can escape confinement, suggesting the electron wave is the fundamental entity.

Keywords:
electron spinquantum computingquantum mechanics interpretationspintronics

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum information theory

Background:

  • Quantum wells are crucial for semiconductor devices.
  • Understanding electron behavior at boundaries is key.
  • The nature of electron confinement is debated.

Purpose of the Study:

  • To investigate electron wave behavior outside quantum wells.
  • To analyze spin characteristics of evanescent waves.
  • To explore implications for quantum information confinement.

Main Methods:

  • Solving the Dirac equation for quantum wells.
  • Ensuring spinor wavefunction continuity at boundaries.
  • Deriving analytical expressions for current density.

Main Results:

  • Demonstrated evanescent electron waves outside finite and infinite quantum wells.
  • Showed evanescent waves possess the same spin characteristics as confined waves.
  • Analytical expressions for current density confirmed wave behavior.

Conclusions:

  • Electrons cannot be confined to mathematical singularities.
  • Quantum information and entropy can permeate quantum confinement.
  • The electron wave, defined by Lorentz-invariant properties, is the fundamental electron entity.