Noether Invariants and Complete Lie-Point Symmetries for Equations of the Hill Type : Particles and Fields

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概要

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• We carry out a systematic analysis of second-order differential equations of the Hill type in the framework of the Lie group theory of point transformations. Both the homogeneous and the inhomogeneous cases are treated. We find the complete Lie-point symmetry group, to be associated with these equations. This group contains, as subgroups, SO(2, 1) and E_2, which are important in evaluating the energy spectrum, as well as the degeneracy of levels of quantum mechanical systems related to Hill equations. A set of Noether invariants which come from a symmetry subgroup endowed with five linearly independent generators is also determined.

• 理論物理学刊行会の論文
• 1990-11-25

著者

• Soliani Giulio

  Istitute Di Fisica Dell'universita Di Lecce

• Soliani Giulio

  Dipartimento Di Fisica Dell' Universita

• PROFILO Gabriella

  Istituto Nazionale di Fisica Nucleare, Sezione di Lecce

• Profilo Gabriella

  Istituto Nazionale Di Fisica Nucleare Sezione Di Lecce

• SOLIANI Giulio

  Istituto di Fisica dell'Universita di Lecce

関連論文

• Analysis of a Modified Korteweg-de Vries Equation
• Soliton-Like Solutions for a Dispersive Nonlinear Wave Equation
• Noether Invariants and Complete Lie-Point Symmetries for Equations of the Hill Type : Particles and Fields
• On the Relation between Lie Symmetries and Prolongation Structures of Nonlinear Field Equations : Non-Local Symmetries
• On Certain Symmetry Reduction Systems of the Three-Wave Resonant Interaction in (2+1) Dimensions : General and Mathematical Physics

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