The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Quantum Wave Packet Dynamics with Trajectories
Abstract
The de Broglie--Bohm causual (hydrodynamic) formulation of quantum mechanics is computationally implemented in the Lagrangian (moving with the fluid) viewpoint. The quantum potential and force are accurately evaluated with a moving weighted least squares algorithm. The quantum trajectory method is then applied to barrier tunneling on smooth potential surfaces. Analysis of the tunneling mechanism leads to a novel and accurate approximation: shortly after the wave packet is launched, completely neglect all quantum terms in the dynamical equations for motion along the tunneling coordinate.
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Citations
Cites
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
Bohm, D. (1952) · Physical Review · doi:10.1103/physrev.85.166 · Cited by 5,510
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. II
Bohm, D. (1952) · Physical Review · doi:10.1103/physrev.85.180 · Cited by 2,052
Quantentheorie in hydrodynamischer Form
Madelung, E. (1927) · Zeitschrift f�r Physik · doi:10.1007/bf01400372 · Cited by 1,892
Holland, P. R. (1993) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622687 · Cited by 1,309
Hiley, B. J. (1993) · Taylor & Francis eBooks · Cited by 825
Dewdney, C., & Hiley, B. J. (1982) · Foundations of Physics · doi:10.1007/bf00726873 · Cited by 172
Dey, B. K., Aşkar, A., & RABITZ, H. A. (1998) · The Journal of Chemical Physics · doi:10.1063/1.477547 · Cited by 97
Cited by
Brunk, E., & Rothlisberger, U. (2015) · Chemical Reviews · doi:10.1021/cr500628b · Cited by 494
Colloquium : Nonlinear collective interactions in quantum plasmas with degenerate electron fluids
Shukla, P. K., & Eliasson, B. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.885 · Cited by 477
Metadata
- Authors
- Lopreore, C. L., & Wyatt, R. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-06-28
- Volume
- 82
- Issue
- 26
- Pages
- 5190-5193
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1981895320
- Cited by
- 441
- References
- 7
- FWCI
- 12.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lopreore, C. L., & Wyatt, R. E. (1999). Quantum Wave Packet Dynamics with Trajectories. Physical Review Letters. https://doi.org/10.1103/physrevlett.82.5190
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
