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Quantized Solutions of the 1D Schrödinger Equation for a Harmonic Oscillator


	This illustrates the quantized solutions of the Schrödinger equation for the one-dimensional harmonic oscillator: . As you vary the energy, the normalization and boundary conditions (for even or odd parity) are only satisfied at discrete energy values of the solution of the second-order ordinary differential equation. Boundary conditions are met when as and normalization is possible when exists.


	Contributed by: Jamie Williams
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Schrödinger Equation (ScienceWorld)

Simple Harmonic Oscillator--Quantum Mechanical (ScienceWorld)

"Quantized Solutions of the 1D Schrödinger Equation for a Harmonic Oscillator" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/QuantizedSolutionsOfThe1DSchroedingerEquationForAHarmonicOsc/

Contributed by: Jamie Williams

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