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Dwell Times, Wavepacket Dynamics, and Quantum Trajectories for Particles with Spin 1/2
Bill Poirier1, Richard Lombardini2
1Department of Chemistry and Biochemistry and Department of Physics, Texas Tech University, Lubbock, TX 79409, USA.
Entropy (Basel, Switzerland)
|April 26, 2024
Summary
This study generalizes quantum trajectories and dwell times for multidimensional, time-dependent systems, introducing new trajectory-based dwell time distributions relevant for experimental scattering applications.
Area of Science:
- Quantum mechanics
- Physical chemistry
- Chemical physics
Background:
- Previous work explored quantum trajectories and dwell times in 1D time-independent scattering.
- Quantum dwell times are crucial for understanding particle behavior in scattering processes.
Purpose of the Study:
- Generalize the theoretical connections between quantum trajectories and quantum dwell times.
- Develop and compare trajectory-based dwell time distributions with existing methods.
- Investigate the relevance of bipolar quantum trajectories for scattering applications.
Main Methods:
- Extended theoretical framework to multidimensional, time-dependent wavepacket applications.
- Introduced trajectory-based dwell time distributions.
- Considered both unipolar and bipolar quantum trajectories.
- Performed detailed calculations for a 3D spin-1/2 particle system.
Main Results:
- Established generalized connections between quantum trajectories and dwell times for complex systems.
- Developed novel trajectory-based dwell time distributions.
- Bipolar quantum trajectories show a more direct relation to relevant quantum time quantities.
- Demonstrated applicability through benchmark 3D spin-1/2 particle calculations.
Conclusions:
- The generalized framework provides new insights into quantum time in scattering.
- Trajectory-based dwell time distributions offer potential experimental relevance.
- Bipolar trajectories are particularly useful for analyzing quantum scattering phenomena.
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