The schr�dinger equation

Silviu Guiaşu

Brian Jefferies

Yi-Huan Wei

By mapping a complex number to 2×2 real matrix,we give the matrix form of Schrdinger equation. From the matrix form of Schrdinger equation, the extended Schrdinger equations are proposed, which satisfy the continuity equation.

Paul A. Flowers, Edward J. Neth, William R. Robinson +2 more

Nikhil Singh

Erwin Schr & #214;dinger is considered one of the founding father of quantum mechanics. Schr & #214;dinger's equation is fundamental of understanding Quantum Mechanics. Laws of Newtonian system don't work in quantum system. In this Research paper I have discussed brief overview on Schr & #214;dinger's wave equation.

Jürgen Schmiegel, Martin Greiner, G. Soff

The Hamiltonian obtained from the linearization of the free collective Schr?dinger equation can be understood as a supercharge. The inclusion of a scalar potential shows that the linearization procedure is equivalent to the factorization method applied in supersymmetric quantum mechanics. Finally a supersymmetric Hamiltonian is constructed which includes the collective Schr?dinger equation as well as the linearized collective Schr?dinger equation.