SO (1,3) grubuyla bağlantılı integrallenebilir sistemler
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Date
2018
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Trakya Üniversitesi Fen Bilimleri Enstitüsü
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info:eu-repo/semantics/openAccess
Abstract
Bu çalışmanın birinci bölümünde grup, metrik tensör, integrallenebilir sistemler, prolate ve oblate küresel dalga denklemleri hakkında bilgi verildi. İkinci bölümde SO(1,3) grubunun homojen uzayının farklı parametrik ifadelerine göre metrik tensör, Laplace-Beltrami operatörü, Schrödinger denklemleri ve integrallenebilir sistemin dalga fonksiyonları ifade edildi.
In the first chapter of this study, some knowledge about group, metric tensor, integrable systems, oblate and prolate wave equations are given. In the second chapter according to different parametric expression of homogeneous space of the group SO(1,3) metric tensor, Laplace-Beltrami operator, Schrödinger equation and wave function of integrable system are given.
In the first chapter of this study, some knowledge about group, metric tensor, integrable systems, oblate and prolate wave equations are given. In the second chapter according to different parametric expression of homogeneous space of the group SO(1,3) metric tensor, Laplace-Beltrami operator, Schrödinger equation and wave function of integrable system are given.
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Keywords
Laplace Beltrami Operatörü, İntegrallenebilir Sistemler, Laplace Beltrami Operator, Integrable Systems
