Keywords
Abstract
Ushbu maqola Lippman-Shvinger tenglamasini parsial yoymasdan yechish usullarini o‘rganishga qaratilgan. Tadqiqotda tenglamaning fizik va matematik xususiyatlari, yechim usullari va ularning samaradorligi tahlil qilinadi. Shuningdek, tenglamaning turli boshlang‘ich shartlar va chegaraviy sharoitlarda xatti-harakatini aniqlashga alohida e’tibor qaratilgan. Maqolada, an’anaviy parsial yoyma usullaridan farqli o‘laroq, analitik va numerik metodlar qo‘llanilib, yechimlarning aniqligi va samaradorligi solishtiriladi. Tadqiqot natijalari fizik tizimlarning modellashtirilishi va muhandislik ilovalarida qo‘llanilishi mumkinligini ko‘rsatadi.
References
1. Taylor, J.R., Scattering Theory: The Quantum Theory on Nonrelativistic Collisions, New York: Wiley, 1972.
2. Newton, R.G., Scattering Theory of Waves and Particles, Springer-Verlag, 1982.
3. Glöckle, W., The Quantum Mechanical Few-Body Problem, Springer, 1983.
4. Kato, T., Perturbation Theory for Linear Operators, Berlin: Springer, 1995.
5. Messiah, A., Quantum Mechanics, Amsterdam: North-Holland, 1961.
6. Faddeev, L.D., Mathematical Aspects of the Three-Body Problem in Quantum Scattering Theory, Jerusalem: Israel Program for Scientific Translations, 1965.
7. van Kampen, N.G., Stochastic Processes in Physics and Chemistry, Amsterdam: North-Holland, 1981.