Relativistic non-Hamiltonian mechanics

DOI10.1016/J.AOP.2010.06.011zbMATH Open1255.70019OpenAlexW2113402000MaRDI QIDQ710467

Vasily E. Tarasov

Publication date: 19 October 2010

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aop.2010.06.011

zbMATH Keywords

relativistic particleHamilton's principlenonholonomic constraintnon-Hamiltonian system

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Cites Work

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• General equations of analytical dynamics.
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• Linear frictional forces cause orbits to neither circularize nor precess
• On nonholonomic systems and variational principles
• The relativistic particle as a mechanical system with non-holonomic constraints
• Regularity and symmetries of nonholonomic systems
• Phase-space metric for non-Hamiltonian systems
• Fractional generalization of gradient and Hamiltonian systems
• Fractional variations for dynamical systems: Hamilton and Lagrange approaches
• Nonholonomic constraints with fractional derivatives
• Euler–Lagrange and Hamilton equations for non-holonomic systems in field theory
• Quantization of non-Hamiltonian and dissipative systems

Related Items (4)

Dirac particle with memory: proper time non-locality ⋮ Generalization of Noether theorem and action principle for non-Lagrangian theories ⋮ Relativity group for noninertial frames in Hamilton’s mechanics ⋮ Relativistic wave and particle mechanics formulated without classical mass

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