Hamiltonian System and Symmetries for Scale Invariant Wavefunctions
1998 ◽
Vol 07
(06)
◽
pp. 765-775
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Keyword(s):
The connection between scale invariant wavefunctions and solutions of some nonlinear equations (e.g., solitons and compactons) have been studied. Scale invariant functions are shown to have variational properties and a nonlinear algebraic structure. Any two-scale equation follows from Hamilton's equation of an infinite-dimensional Hamiltonian system, providing a self-similar formalism that is useful in studies of hierarchical and nonlinear lattices, soliton and compacton waves. The algebraic structure of any scaling function is shown to be a deformation of the trigonometric series generating algebra.
2015 ◽
Vol 143
(8)
◽
pp. 3519-3524
2006 ◽
pp. 154-191
2002 ◽
Vol 240
(2)
◽
pp. 289-310
◽
1990 ◽
Vol 31
(12)
◽
pp. 2898-2903
◽
2013 ◽
Vol 44
(1-2)
◽
pp. 133-146
◽
1990 ◽
Vol 31
(12)
◽
pp. 2891-2897
◽
2008 ◽
Vol 201
(1-2)
◽
pp. 800-804
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