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math-ph2002
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…
math-ph1999
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…
math-ph1999
Incompressible Fields in Riemannian Manifolds
C. P. Viazminsky
Incompressible fields are of a special importance in electrodynamics, fluid mechanics, and quantum mechanics. We shall derive a few expressions for such fields in a Riemannian mani…