7The Schrödinger and Other Eigenvalue Equations
7.1 The Schrödinger Equation
The ‐particle Schrödinger equation has the form
where is Planck's constant, is the mass of particle and is the potential energy of the system. If is the solution, represents the probability density for finding particle 1 at , particle 2 at , etc.
It does not seem to be possible to derive this equation from more basic principles. In Partial Differential Equations (Strauss 2008), Walter Strauss writes,
Schrödinger's ...
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