Displaying similar documents to “Generalized Heisenberg algebras, SUSYQM and degeneracies: infinite well and Morse potential.”

f ( R ) theories.

De Felice, Antonio, Tsujikawa, Shinji (2010)

Living Reviews in Relativity [electronic only]

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The principle of stationary action in the calculus of variations

Emanuel López, Alberto Molgado, José A. Vallejo (2012)

Communications in Mathematics

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We review some techniques from non-linear analysis in order to investigate critical paths for the action functional in the calculus of variations applied to physics. Our main intention in this regard is to expose precise mathematical conditions for critical paths to be minimum solutions in a variety of situations of interest in Physics. Our claim is that, with a few elementary techniques, a systematic analysis (including the domain for which critical points are genuine minima) of non-trivial...