Abstract
A method for integration of classical and quantum Hamiltonian systems, based on the use of approximate symmetries, is proposed in this paper. The proposed method is similar to the averaging method in classical mechanics; however, it does not use canonical transformations to the variables "action-angle." This allows one in some cases to apply this method to quantum equations. A nontrivial example is analyzed in the paper.
| Original language | English |
|---|---|
| Pages (from-to) | 806-808 |
| Number of pages | 3 |
| Journal | Russian Physics Journal |
| Volume | 36 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Aug 1993 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)
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Cite this
Shapovalov, A. V., & Shirokov, I. V. (1993). Application of approximate symmetries to the construction of solutions of classical and quantum Hamiltonian systems. Russian Physics Journal, 36(8), 806-808. https://doi.org/10.1007/BF00562038