222 citations · 1.4k across the 117 of their papers we have counts for
6 papers · 2 filters
Product Representations and the Quantization of Constrained Systems
John R. Klauder
We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a…
Coherent States for Discrete Spectrum Dynamics
John R. Klauder
Coherent states for general systems with discrete spectrum, such as the bound states of the hydrogen atom, are discussed. The states in question satisfy: (1) continuity of labeling…
Coherent State Path Integrals at (Nearly) 40
John R. Klauder
Coherent states can be used for diverse applications in quantum physics including the construction of coherent state path integrals. Most definitions make use of a lattice regulari…
Path Integral Quantization and Riemannian-Symplectic Manifolds
Sergei V. Shabanov, John R. Klauder
We develop a mathematically well-defined path integral formalism for general symplectic manifolds. We argue that in order to make a path integral quantization covariant under gener…
An Introduction to Coordinate-free Quantization and its Application to Constrained Systems
John R. Klauder, Sergei V. Shabanov
Canonical quantization entails using Cartesian coordinates, and Cartesian coordinates exist only in flat spaces. This situation can either be questioned or accepted. In this paper…
Metrical Quantization
John R. Klauder
Canonical quantization may be approached from several different starting points. The usual approaches involve promotion of c-numbers to q-numbers, or path integral constructs, each…