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Quantum Measurements and Delays in Scattering by Zero-Range Potentials.

Xabier Gutiérrez1,2, Marisa Pons2,3, Dmitri Sokolovski2,4

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Summary
This summary is machine-generated.

The Eisenbud-Wigner-Smith delay and Larmor time offer different quantum scattering durations. Quantum measurement theory clarifies which method accurately measures particle interaction time with a scattering potential, especially for large de Broglie wavelengths.

Keywords:
Eisenbud–Wigner–Smith delayLarmor clockquantum measurementszero-range potential

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Area of Science:

  • Quantum mechanics
  • Scattering theory
  • Quantum measurement

Background:

  • Discrepancies exist between Eisenbud-Wigner-Smith delay and Larmor time in estimating quantum scattering event durations.
  • These differences are particularly significant when the de Broglie wavelength is large relative to the scatterer's size.

Purpose of the Study:

  • To analyze Eisenbud-Wigner-Smith delay and Larmor time using quantum measurement theory.
  • To determine which method accurately quantifies the duration a particle spends within a scattering potential region.

Main Methods:

  • Application of quantum measurement theory.
  • Analysis of scattering events including transmission, reflection, and three-dimensional elastic scattering.

Main Results:

  • The study provides a theoretical framework to distinguish between the two time-delay estimates.
  • Identifies conditions under which each estimate is more appropriate.

Conclusions:

  • Quantum measurement theory offers a definitive approach to understanding particle interaction time in scattering events.
  • The findings clarify the physical interpretation of time delays in quantum scattering, especially in the large de Broglie wavelength limit.