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math-ph2011★ 1 cited
Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives
Tamas Gal
With the use of a second derivative test based on constrained second derivatives, a proof is given that excited states in nonrelativistic quantum mechanics are saddle points of the…
math-ph2006★ 23 cited
The mathematics of functional differentiation under conservation constraint
Tamas Gal
The mathematics of K-conserving functional differentiation, with K being the integral of some invertible function of the functional variable, is clarified. The most general form fo…