Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables

Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables

Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to the special case of finite-dimensional Hamiltonian systems, namely Hamilton-Jacobi, Helmholtz and time-independent Schröd...

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Bibliographic Details
Main Authors: Philip Broadbridge, Claudia M. Chanu, Willard Miller Jr.
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
nonregular separation of variables
Helmholtz equation
Schrödinger equation
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.089

Internet

http://dx.doi.org/10.3842/SIGMA.2012.089

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