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Time evolution of the Lamb shift.

Da-Wei Wang1, Zheng-Hong Li, Li-Gang Wang

  • 1Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China. cuhkwdw@gmail.com

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|September 3, 2010
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Summary
This summary is machine-generated.

This study reveals the time-dependent Lamb shift caused by real photon emission. This temporal evolution is linked to the reservoir

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Area of Science:

  • Quantum Electrodynamics (QED)
  • Atomic Physics
  • Theoretical Physics

Background:

  • The Lamb shift is a small but significant difference in energy between two energy levels in hydrogen-like atoms.
  • Traditionally, the Lamb shift is considered time-independent, arising from virtual photon interactions.
  • The role of real photon emission in the time evolution of the Lamb shift has not been previously explored.

Purpose of the Study:

  • To investigate the time evolution of the Lamb shift, specifically when real photons are emitted.
  • To analyze the explicit time dependence of the Lamb shift in the context of real photon emission.
  • To understand the contribution of real photon emission to the dynamic behavior of the Lamb shift.

Main Methods:

  • A unitary transformation is applied to subtract the divergent self-energy of the free electron from the Hamiltonian.
  • This transformation allows for the separation of the Lamb shift into time-independent (virtual photon exchange) and time-dependent (real photon emission) components.
  • The study analyzes the explicit time dependence introduced by the real photon emission process.

Main Results:

  • The Lamb shift can be decomposed into a time-independent part and a time-dependent part.
  • The time-dependent component of the Lamb shift is directly associated with real photon emission.
  • The specific time evolution profile is determined by the coupling spectrum of the reservoir.

Conclusions:

  • The Lamb shift exhibits time evolution due to real photon emission, a novel finding.
  • This time dependence is a consequence of the interaction with the electromagnetic field reservoir.
  • The study provides a new perspective on the dynamic nature of atomic energy shifts in quantum electrodynamics.