THE SCHRÖDINGER NONLINEAR PARTIAL DIFFERENTIAL EQUATION SOLUTION IN QUANTUM PHYSIC BY NEW APPROACH AYM
Keywords:new method, Akbari-Yasna-Method (AYM), Schrödinger Equation, nonlinear partial differential equation, quantum mechanical
In this paper, we investigate and solve a complicated highly nonlinear differential equations of Schrödinger equation by analytical solving of new method which we named it AYM (Akbari Yasna’s Method). The Schrödinger equation is the fundamental equation of physics for describing quantum mechanical behavior. It is also often called the Schrödinger wave equation, and is a partial differential equation that describes how the wave function of a physical system evolves over time. The Schrödinger equation, the fundamental equation of the science of submicroscopic phenomena known as quantum mechanics. And the Schrödinger equation gives exact solutions only for nuclei with one electron: H, He+, Li2+, Be3+, B4+, C5+, etc.The equation, developed (1926) by the Austrian physicist Erwin Schrödinger, has the same central importance to quantum mechanics as Newton’s laws of motion have for the large-scale phenomena of classical mechanics.
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