Nondifferentiable variational principles in terms of a quantum operator

Mathematics – Optimization and Control

Scientific paper

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Submitted 24-Apr-2011; revised 18-Jun-2011; accepted 20-Jun-2011; for publication in Mathematical Methods in the Applied Scien

Scientific paper

10.1002/mma.1523

We develop Cresson's nondifferentiable calculus of variations on the space of
H\"{o}lder functions. Several quantum variational problems are considered: with
and without constraints, with one and more than one independent variable, of
first and higher-order type.

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