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arxiv: 1106.3831 · v1 · pith:CTF2GRY7new · submitted 2011-06-20 · 🧮 math.OC · math-ph· math.MP

Nondifferentiable variational principles in terms of a quantum operator

classification 🧮 math.OC math-phmath.MP
keywords nondifferentiablequantumvariationalcalculusconsideredconstraintscressondevelop
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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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