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[3. Schrödinger equations.]

Simplifying first Schrödinger equation.

With few mathematical passages and using the constant the first Schrödinger equation for the energy E becomes

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The equation can be simplified with the introduction of the Laplace operator as an abbreviation for (the symbol is called the nabla operator). The first Schrödinger equation for the energy E can be written in the compact form:

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First Schrödinger equation

Bohr energy levels