• Corpus ID: 119193402

The Liouville theorem as a problem of common eigenfunctions

@article{Castillo2015TheLT,
  title={The Liouville theorem as a problem of common eigenfunctions},
  author={Gerardo F. Torres del Castillo},
  journal={Revista Mexicana De Fisica},
  year={2015},
  volume={61},
  pages={268-271}
}
  • G. Castillo
  • Published 23 March 2015
  • Physics, Mathematics
  • Revista Mexicana De Fisica
Se muestra que, definiendo apropiadamente las eigenfunciones de una funcion definida en el espacio fase extendido, el teorema de Liouville sobre las soluciones de la ecuacion de Hamilton-Jacobi puede formularse como el problema de hallar eigenfunciones comunes de n constantes de movimiento en involucion, donde n es el numero de grados de libertad del sistema 

References

SHOWING 1-7 OF 7 REFERENCES

Mapping of solutions of the Hamilton-Jacobi equation by an arbitrary canonical transformation

G.F. Torres del CastilloDepartamento de F´isica Matem atica, Instituto de Ciencias,´Universidad Autonoma de Puebla, 72570 Puebla, Pue., M´ exico.´H.H. Cruz Dom´inguez, A. de Yta Hern ´andez, J.E.

Applications and extensions of the Liouville theorem on constants of motion

We give an elementary proof of the Liouville theorem, which allows us to obtain n constants of motion in addition to n given constants of motion in involution, for a mechanical system with n degrees

Introduction to classical integrable systems

1. Introduction 2. Integrable dynamical systems 3. Synopsis of integrable systems 4. Algebraic methods 5. Analytical methods 6. The closed Toda chain 7. The Calogero-Moser model 8. Isomonodromic

The Algebra of Invariants The Dynamical Theory of Gases A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

WHATEVER opinions may be felt as to the desirability of University Presses competing with private firms in swelling the already too large flood of school geometries or issuing cram books for

Analytical Mechanics

A SECOND title-page describes the present work as volume iv. of “A Treatise on Infinitesimal Calculus,” so that Prof. Bartholomew Price's well-known four volumes may be taken to represent the

Elements Of Partial Differential Equations

This book has been written to give an early introduction to Trigonometry to those taking the subject for the " O " Level examination of the G.C.E. The increasing number of teachers who favour