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Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories
Open accessAbstract
Quantum stochasticity (the nature of wave functions and eigenvalues when the short-wave-limit Hamiltonian has stochastic trajectories) is studied for the two-dimensional Helmsholtz equation with "stadium" boundary. The eigenvalue separations have a Wigner distribution (characteristic of a random Hamiltonian), in contrast to the clustering found for a separable equation. The eigenfunctions exhibit a random pattern for the nodal curves, with isotropic distribution of local wave vectors.
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Cited by
Chaos and quantum thermalization
Srednicki, M. (1994) · Physical Review E · doi:10.1103/physreve.50.888 · Cited by 3,175
Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
Bohigas, O., Giannoni, M. J., & Schmit, C. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1 · Cited by 2,750
Ultrasonics without a Source: Thermal Fluctuation Correlations at MHz Frequencies
Weaver, R. L., & Lobkis, O. I. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.134301 · Cited by 668
Metadata
- Authors
- McDonald, S. W., & Kaufman, A. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1979-04-30
- Volume
- 42
- Issue
- 18
- Pages
- 1189-1191
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1988575969
- Cited by
- 603
- References
- 0
- FWCI
- 14.67
- Type
- journal article
- Language
- en
- Open access
- green
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- McDonald, S. W., & Kaufman, A. N. (1979). Spectrum and Eigenfunctions for a Hamiltonian with Stochastic Trajectories. Physical Review Letters. https://doi.org/10.1103/physrevlett.42.1189
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