Schrödinger equation for a free one dimensional particle
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Schrödinger equation for a free one dimensional particle by Ciro Santilli 34 Updated 2024-11-19 Created 1970-01-01
Schrödinger equation for a one dimensional particle with . The first step is to calculate the time-independent Schrödinger equation for a free one dimensional particle
Then, for each energy , from the discussion at Section "Solving the Schrodinger equation with the time-independent Schrödinger equation", the solution is:
Therefore, we see that the solution is made up of infinitely many plane wave functions.