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${\displaystyle {\textbf {F}}={\frac {d}{dt}}(m{\textbf {v}})}$ Second law of motion
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In theoretical physics, relativistic Hamiltonian mechanics is Hamiltonian mechanics applied in the context of special relativity and general relativity.

Special relativity

Coordinate formulation

Covariant formulation

Examples

See also

• Relativistic Lagrangian mechanics
• Relativistic mechanics
• Hamiltonian field theory
• Fundamental lemma of the calculus of variations
• Canonical coordinates
• Functional derivative
• Generalized coordinates
• Hamiltonian mechanics
• Hamiltonian optics
• Non-autonomous mechanics
• Restricted three-body problem
• Plateau's problem

References

• Penrose, Roger (2007). The Road to Reality. Vintage books. ISBN  978-0-679-77631-4.

• Landau, L. D.; Lifshitz, E. M. (15 January 1976). Mechanics (3rd ed.). Butterworth Heinemann. p. 134. ISBN  9780750628969.

• Landau, Lev; Lifshitz, Evgeny (1975). The Classical Theory of Fields. Elsevier Ltd. ISBN  978-0-7506-2768-9.

• Hand, L. N.; Finch, J. D. (13 November 1998). Analytical Mechanics (2nd ed.). Cambridge University Press. p. 23. ISBN  9780521575720.

• Louis N. Hand, Janet D. Finch (1998). Analytical mechanics. Cambridge University Press. pp. 140–141. ISBN  0-521-57572-9.

• Goldstein, Herbert (1980). Classical Mechanics (2nd ed.). San Francisco, CA: Addison Wesley. pp. 352–353. ISBN  0201029189.

• Goldstein, Herbert; Poole, Charles P., Jr.; Safko, John L. (2002). Classical Mechanics (3rd ed.). San Francisco, CA: Addison Wesley. pp. 347–349. ISBN  0-201-65702-3.{{ cite book}}: CS1 maint: multiple names: authors list ( link)

• Lanczos, Cornelius (1986). "II §5 Auxiliary conditions: the Lagrangian λ-method". The variational principles of mechanics (Reprint of University of Toronto 1970 4th ed.). Courier Dover. p. 43. ISBN  0-486-65067-7.

• Feynman, R. P.; Leighton, R. B.; Sands, M. (1977) [1964]. The Feynman Lectures on Physics. Vol. 2. Addison Wesley. ISBN  0-201-02117-X.

• Foster, J; Nightingale, J.D. (1995). A Short Course in General Relativity (2nd ed.). Springer. ISBN  0-03-063366-4.

• M. P. Hobson, G. P. Efstathiou, A. N. Lasenby (2006). General Relativity: An Introduction for Physicists. Cambridge University Press. p. 79–80. ISBN  9780521829519.{{ cite book}}: CS1 maint: multiple names: authors list ( link)