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Any of several principles that find the physical trajectory of a system by minimizing or maximizing some value computed over the proposed path (for instance geometric optics can be reproduced by insisting on a minimum time principle).

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Calculating minimum $l$ energy in central potential problems using this generalization of th...

The variational theorem talks about giving an upper bound on the lowest eigenvalue of a given Hermitian operator, and there is a simple generalization if we allow ourselves to constrain the space of t …
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3 votes
1 answer
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Coulomb force from a variational principle

See the attached discussion from Zangwill's Modern Electrodynamics, and in particular footnote 9. The point of this question is to understand how to recover Coulomb’s force law from an assumed form fo …
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2 votes
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Why does the variational method simplify in this way when $H$ Hermitian?

Ballentine (Quantum Mechanics: A Modern Development 2nd edition, page 290) writes the attached in his introduction of the variational method. My question is about his very last line: why does $H$ bein …
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