1 citations · 3 across the 8 of their papers we have counts for
8 papers
Incorporation of New Information in an Approximate Hamiltonian
C P Viazminsky, S Baza
Additional information about the eigenvalues and eigenvectors of a physical system demands extension of the effective Hamiltonian in use. In this work we extend the effective Hamil…
Incompressible Canonical Quantization
C. P. Viazminsky
The notion of incompressible momentum observables is introduced. It is shown that when the metric in a manifold has a certain form, a set of canonically conjugate variables Xk and…
On Separation of Variables
C. P. Viazminsky
The necessary and sufficient conditions for a function to be totally or partially separable are derived. It is shown that a function is totally separable if and only if each compon…
Unitarily Equivalent Classes of First Order Differential Operators
C. P. Viazminsky
The elements of the class of non-homogeneous differential operators which are based on the same vector field, when viewed as acting on appropriate Hilbert spaces, are shown to be i…
Synchronization and Inertial Frames
C. P. Viazminsky
In classical mechanics, a procedure for simultaneous synchronization in all inertial frames is consistent with the Galilean transformation. However, if one attempts to achieve such…
An Algebraic Treatment of Totally Linear Partial Differential Equations
C. P. Viazminsky
We construct the field A generated by n algebraically independent elements, and show that the linear space of derivations over this field is faithfully represented by the linear sp…