Explain briefly the time independent Schrodinger wave equation.?
Answers
The Schrodinger equation is a linear partial differential equation that describes the wave function or state function of a quantum-mechanical system.[1]:1–2 It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. The equation is named after Erwin Schrodinger, who postulated the equation in 1925, and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933.[2][3]
In classical mechanics, Newton's second law (F = ma)[note 1] is used to make a mathematical prediction as to what path a given physical system will take over time following a set of known initial conditions. Solving this equation gives the position and the momentum of the physical system as a function of the external force {\display style \math bf {F} }\math bf {F} on the system. Those two parameters are sufficient to describe its state at each time instant. In quantum mechanics, the analogue of Newton's law is Schrodinger equation.
Answer:
Second order differential equations, like the Schrödinger Equation, can be solved by separation of variables. These separated solutions can then be used to solve the problem in general. ... equation is often called the Time Independent Schrödinger Equation.