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Dwell Times, Wavepacket Dynamics, and Quantum Trajectories for Particles with Spin 1/2

Authors :
Bill Poirier
Richard Lombardini
Source :
Entropy, Vol 26, Iss 4, p 336 (2024)
Publication Year :
2024
Publisher :
MDPI AG, 2024.

Abstract

The theoretical connections between quantum trajectories and quantum dwell times, previously explored in the context of 1D time-independent stationary scattering applications, are here generalized for multidimensional time-dependent wavepacket applications for particles with spin 1/2. In addition to dwell times, trajectory-based dwell time distributions are also developed, and compared with previous distributions based on the dwell time operator and the flux–flux correlation function. Dwell time distributions are of interest, in part because they may be of experimental relevance. In addition to standard unipolar quantum trajectories, bipolar quantum trajectories are also considered, and found to relate more directly to the dwell time (and other quantum time) quantities of greatest relevance for scattering applications. Detailed calculations are performed for a benchmark 3D spin-1/2 particle application, considered previously in the context of computing quantum arrival times.

Details

Language :
English
ISSN :
26040336 and 10994300
Volume :
26
Issue :
4
Database :
Directory of Open Access Journals
Journal :
Entropy
Publication Type :
Academic Journal
Accession number :
edsdoj.91c041d3e7e146e99951bdf220ab8a61
Document Type :
article
Full Text :
https://doi.org/10.3390/e26040336