7The Schrödinger and Other Eigenvalue Equations

7.1 The Schrödinger Equation

The images‐particle Schrödinger equation has the form

where images is Planck's constant, images is the mass of particle images and images is the potential energy of the system. If images is the solution, images represents the probability density for finding particle 1 at images, particle 2 at images, 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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