Research Article
Geliştirilmiş Dalgarno-Lewis Pertürbasyon Yöntemiyle Doğrusal ve Doğrusal Olmayan Sistemlerin Enerji Düzeylerinin Hesaplanması
Abstract
Bu
çalışmada, geliştirilmiş Dalgarno-Lewis pertürbasyon yöntemi üzerinde
durulmaktadır. Enerji düzeylerinin ve dalga fonksiyonlarının hesabıyla ilgili işlemci
tanımlanmaktadır. Elde edilen işlemci yardımıyla birinci ve ikinci mertebeden
düzeltme terimleri hesaplanmaktadır. Simetri hesaba katıldığında yöntemin nasıl
uygulanacağı ve elde edilen sonuçlar tartışılmaktadır.
References
- Referans1: Balantekin, A.B. ve Malkus, A., 2010. Dalgarno-Lewis method revisited, arXiv:1012.4783v1.
- Referans2: Dalgarno, A. ve Lewis, J.T., 1956. The exact calculation of long-range forces between atoms by perturbation theory, Proceedings of The Royal Society of London, Series A, 233, 70-74.
- Referans3: Inomata, A., Kuratsuji, H. ve Gerry, C.C., 1992. Path integrals and coherent states of SU(2) and SU(1,1), World Scientific, Singapore, 318s.
- Referans4: Landau, L.D. ve Lifshitz, E.M., 1977. Quantum mechanics, Pergamon Press, Exeter, 677s.
- Referans5: Merzbacher, E., 1970. Quantum mechanics, Wiley, NY, 621s.
- Referans6: Shankar, R., 1980. Principles of quantum mechanics, Plenum, NY, 676s.
- Referans7: Wybourne, B.G., 1974. Classical groups for physicists, Wiley, NY, 415s.
- Referans8: Zettili, N., 2009. Quantum mechanics, Wiley, Wiltshire, 674s.
Calculation of Energy Levels of The Linear and Non-Linear Systems By Means of The Emproved Dalgarno-Lewis Perturbation Method
Abstract
In
this study, it has been focused on the emproved Dalgarno-Lewis perturbation
method. The operator related to the calculation of energy levels and wave
functions are defined. First and second order correction terms are calculated
using the obtained operator. When symmetry is considered, how the method will
be applied and the results obtained are discussed.
References
- Referans1: Balantekin, A.B. ve Malkus, A., 2010. Dalgarno-Lewis method revisited, arXiv:1012.4783v1.
- Referans2: Dalgarno, A. ve Lewis, J.T., 1956. The exact calculation of long-range forces between atoms by perturbation theory, Proceedings of The Royal Society of London, Series A, 233, 70-74.
- Referans3: Inomata, A., Kuratsuji, H. ve Gerry, C.C., 1992. Path integrals and coherent states of SU(2) and SU(1,1), World Scientific, Singapore, 318s.
- Referans4: Landau, L.D. ve Lifshitz, E.M., 1977. Quantum mechanics, Pergamon Press, Exeter, 677s.
- Referans5: Merzbacher, E., 1970. Quantum mechanics, Wiley, NY, 621s.
- Referans6: Shankar, R., 1980. Principles of quantum mechanics, Plenum, NY, 676s.
- Referans7: Wybourne, B.G., 1974. Classical groups for physicists, Wiley, NY, 415s.
- Referans8: Zettili, N., 2009. Quantum mechanics, Wiley, Wiltshire, 674s.
There are 8 citations in total.
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | July 31, 2017 |
| Submission Date | April 11, 2017 |
| Acceptance Date | July 24, 2017 |
| Published in Issue | Year 2017 Volume: 7 Issue: 2 |
