Schrodinger equation gives us a detailed account of the form of the wave functions or probability waves that control the motion of some smaller particles. The equation also describes how these waves ...

Stochastic nonlinear wave equations and Schrödinger equations are important areas of study in mathematical physics, particularly in understanding how waves behave under random influences.

One significant area of research is the existence and stability of standing waves in nonlinear Schrödinger equations. For instance, studies have shown that stable standing waves can exist for the ...

This paper has described the Schrodinger wave equation for the hydrogen and positronium atom. Using the Runge-Kutta method of order 4, this was solved. The numerical outcomes were discussed along with ...

The equation at the heart of his publication became known as Schrödinger's wave equation. This was the second theoretical explanation of electrons in an atom, following Werner Heisenberg's matrix ...

Keywords: Schrödinger equation; Relativistic equations; Mathematical derivation; Teaching of quantum mechanics Neste artigo, apresentamos uma derivação das equações relativísticas da Mecânica Quântica ...

Abstract: We show that smooth solutions to nonlinear wave and Schrödinger equations involving coercive nonlinearities of polynomial type with arbitrarily strong growth are unique among distribution ...

Schrödinger was a theoretical physicist and a significant contributor to the wave theory of matter, a form of quantum physics. He mathematically devised an equation of wave mechanics that bears his ...

Abstract: The inverse scattering transform for the focusing non-linear Schrödinger (NLS) equation with non-zero boundary conditions at infinity and double zeros of the analytic scattering coefficients ...