Time independent Schnodinger wave equation is
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Explanation:
where U(x) is the potential energy and E represents the system energy. It has a number of important physical applications in quantum mechanics.
A key part of the application to physical problems is the fitting of the equation to the physical boundary conditions.
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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. Assume that we can factorize the solution between time and space.
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