2013•Journal of Qingdao University of Science and TechnologyRequires access

Group Invariant Solutions and Conservation Laws of Schrdinger Equation

Yuzhe Sun

Abstract

By using Lie group method,the infinitesimal generator and the group invariant solutions to Schrdingerequation were obtained.The corresponding lie algebra and relations between new solutions and olds were established.For exact solutions of the Schrdinger equation,the corresponding results were generalized.At last,the conservation laws of Schrdinger equation were obtained by using symmetries and adjoint equations.

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Key concepts: Conservation law, Homogeneous space, Invariant (physics), Mathematics, Infinitesimal, Lie algebra, Lie group, Group (periodic table)