Foundations of Theoretical Mechanics II: Birkhoffian Generalization of Hamiltonian Mechanics
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| Author | Ruggero Maria Santilli |
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| Language | English |
| Series | Texts and Monographs in Physics |
| Subject | Analytical mechanics, mathematical physics |
| Published | 1983 |
| Publisher | Springer |
| Pages | 370 |
| ISBN | 0387094822 |
Foundations of Theoretical Mechanics II: Birkhoffian Generalization of Hamiltonian Mechanics is a 1983 monograph by Ruggero Maria Santilli, published by Springer-Verlag in the Texts and Monographs in Physics series. It is the sequel to Foundations of Theoretical Mechanics I: The Inverse Problem in Newtonian Mechanics (1978).
Overview
Building on the inverse-problem analysis of the first volume, Santilli develops the Birkhoffian generalization of Hamiltonian mechanics — a framework, based on the equations of G. D. Birkhoff, capable of representing the broad class of nonconservative and non-self-adjoint systems that ordinary Hamiltonian mechanics cannot. He works out the geometry (a generalized, non-canonical symplectic structure), the transformation theory, and the physical applications, presenting Birkhoffian mechanics as a direct precursor to his later "hadronic mechanics."
About the author
Ruggero Maria Santilli is an Italian-American physicist known for his work on analytic mechanics and for founding "hadronic mechanics" and its associated iso-, geno-, and hyper-mathematics.
Publication details
- Author: Ruggero Maria Santilli
- Series: Texts and Monographs in Physics
- Publisher: Springer-Verlag, Berlin/Heidelberg
- Published: 1983
- Pages: 370
- ISBN: 0387094822