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On the calculation of time correlation functions in quantum systems: Path integral techniquesa)
Abstract
A Monte Carlo method for calculating quantum mechanical time correlation functions is presented. In this method the time correlation function is calculated at several values along the pure imaginary axis of the complex time plane such that 0<it<β, where (β)−1 is the temperature of the system. Using the periodicity of the imaginary time correlation function, the real time behavior is inferred by analytic continuation. The method is used to calculate the absorption spectra of two model systems.
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Citations
Cited by
Simulation of quantum many-body systems by path-integral methods
Pollock, E. L., & Ceperley, D. M. (1984) · Physical Review B · doi:10.1103/physrevb.30.2555 · Cited by 516
Structure and dynamics of few-nucleon systems
Carlson, J., & Schiavilla, R. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.743 · Cited by 451
Numerical path integral techniques for long time dynamics of quantum dissipative systems
Makri, N. (1995) · Journal of Mathematical Physics · doi:10.1063/1.531046 · Cited by 377
Topaler, M., & Makri, N. (1994) · The Journal of Chemical Physics · doi:10.1063/1.468244 · Cited by 310
Makri, N., & Miller, W. H. (1987) · The Journal of Chemical Physics · doi:10.1063/1.453501 · Cited by 270
Metadata
- Authors
- Thirumalai, D., & Berne, B. J.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1983-11-15
- Volume
- 79
- Issue
- 10
- Pages
- 5029-5033
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1995213897
- Cited by
- 168
- References
- 0
- FWCI
- 8.50
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: On the calculation of time correlation functions in quantum systems: Path integral techniquesa). https://app.cochat.ai/papers/10.1063/1.445597
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- Thirumalai, D., & Berne, B. J. (1983). On the calculation of time correlation functions in quantum systems: Path integral techniquesa). The Journal of Chemical Physics. https://doi.org/10.1063/1.445597
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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