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 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Application of approximate symmetries to the construction of solutions of classical and quantum Hamiltonian systems. / Shapovalov, A. V.; Shirokov, I. V.
In: Russian Physics Journal, Vol. 36, No. 8, 08.1993, p. 806-808.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Application of approximate symmetries to the construction of solutions of classical and quantum Hamiltonian systems
AU - Shapovalov, A. V.
AU - Shirokov, I. V.
PY - 1993/8
Y1 - 1993/8
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=34249769760&partnerID=8YFLogxK
U2 - 10.1007/BF00562038
DO - 10.1007/BF00562038
M3 - Article
VL - 36
SP - 806
EP - 808
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 8
ER -