Journal
MODERN PHYSICS LETTERS B
Volume 23, Issue 28, Pages 3369-3386Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217984909021387
Keywords
Fractional action-like variational approach; fractional Euler-Lagrange equations; fractional Schrodinger equation; complexified dynamics
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Fractional quantum Euler-Cauchy equation in the Schrodinger picture is derived from the fractional action-like variational approach recently introduced by the author. Many interesting consequences are revealed and explored, in particular the emergence of complexified harmonic oscillators, complexified Lagrangian and Hamiltonian and complexified fractional action integral.
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