17 citations · 21 across the 6 of their papers we have counts for
7 papers
Variational symmetries as the existence of ignorable coordinates
G. F. Torres del Castillo, I. Rubalcava-García
It is shown that given a Lagrangian for a system with a finite number of degrees of freedom, the existence of a variational symmetry is equivalent to the existence of coordinates i…
Symmetries of the Hamiltonian operator and constants of motion
G. F. Torres del Castillo, J. E. Herrera Flores
It is shown that, in the framework of non-relativistic quantum mechanics, any conserved Hermitian operator (which may depend explicitly on the time) is the generator of a one-param…
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)…
Generation of solutions of the Hamilton-Jacobi equation
G. F. Torres del Castillo
It is shown that any function , defined on the extended phase space, defines a one-parameter group of canonical transformations which act on any function $f(q_{…