Introduction to Quantum Mechanics · Problem 8.19

The Variational Principle — David J. Griffiths

Physics — Quantum Mechanics · variational_hydrogen

Problem

Find the lowest bound on the ground state of hydrogen you can get using a gaussian trial wave function ψ(r)=Ae−br2,\psi(\mathbf{r}) = Ae^{-br^2}, where AA is determined by normalization and bb is an adjustable parameter. *Answer:* −11.5-11.5 eV.

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