The Quantization of a Fourth-Order Equation without a Second-Order Lagrangian

DOI10.1142/S1402925110001094zbMath1217.34060OpenAlexW2069385588MaRDI QIDQ2996755

Maria Clara Nucci, Peter G. L. Leach

Publication date: 3 May 2011

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1402925110001094

zbMATH Keywords

HamiltonianquantizationLagrangianLie symmetriesfourth-order ODE

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Lagrange's equations (70H03)

Related Items (1)

Lie symmetries for systems of evolution equations

Cites Work

• Solution to the ghost problem in fourth order derivative theories
• Giving up the ghost
• An algebraic approach to laying a ghost to rest
• The method of Ostrogradsky, quantization, and a move toward a ghost-free future
• A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
• Relativistic quantum mechanics
• The complete Kepler group can be derived by Lie group analysis
• An Old Method of Jacobi to Find Lagrangians
• Jacobi Last Multiplier and Lie Symmetries: A Novel Application of an Old Relationship
• The inverse problem of the calculus of variations for scalar fourth-order ordinary differential equations
• On Field Theories with Non-Localized Action

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