17 citations · 21 across the 6 of their papers we have counts for
4 papers · 1 filter
Constants of motion associated with alternative Hamiltonians
Gerardo F. Torres del Castillo
It is shown that if a non-autonomous system of first-order ordinary differential equations is expressed in the form of the Hamilton equations in terms of two different sets of…
Geometric thermodynamics: black holes and the meaning of the scalar curvature
Miguel Á. García-Ariza, Merced Montesinos, Gerardo F. Torres del Castillo
In this paper we show that the vanishing of the scalar curvature of Ruppeiner-like metrics does not characterize the ideal gas. Furthermore, we claim through an example that flatne…
Complete solutions of the Hamilton-Jacobi equation and the envelope method
G. F. Torres del Castillo, G. S. Anaya González
It is shown that the parameters contained in any two complete solutions of the Hamilton-Jacobi equation, corresponding to a given Hamiltonian, are related by means of a time-indepe…
Mapping of solutions of the Hamilton-Jacobi equation by an arbitrary canonical transformation
G. F. Torres del Castillo, H. H. Cruz Domínguez, A. de Yta Hernández +2
It is shown that given an arbitrary canonical transformation and an arbitrary Hamiltonian, there is a naturally defined mapping that sends any solution of the Hamilton-Jacobi (HJ)…