14 citations · 24 across the 8 of their papers we have counts for
16 papers · 1 filter
Path Integrals, and Classical and Quantum Constraints
John R. Klauder
Systems with constraints pose problems when they are quantized. Moreover, the Dirac procedure of quantization prior to reduction is preferred. The projection operator method of qua…
How far apart are classical and quantum systems?
John R. Klauder
As is well known, classical systems approximate quantum ones -- but how well? We introduce a definition of a "distance" on classical and quantum phase spaces that offers a measure…
Generalization of the Darboux transformation and generalized harmonic oscillators
Dae-Yup Song, John R. Klauder
The Darbroux transformation is generalized for time-dependent Hamiltonian systems which include a term linear in momentum and a time-dependent mass. The formalism for the -fold…
The Current State of Coherent States
John R. Klauder
The original canonical coherent states could be defined in several ways. As applications for other sets of coherent states arose, the rules of definition were correspondingly chang…
Coherent State Path Integrals without Resolutions of Unity
John R. Klauder
From the very beginning, coherent state path integrals have always relied on a coherent state resolution of unity for their construction. By choosing an inadmissible fiducial vecto…
Path Integral Quantization for a Toroidal Phase Space
Bernhard G. Bodmann, John R. Klauder
A Wiener-regularized path integral is presented as an alternative way to formulate Berezin-Toeplitz quantization on a toroidal phase space. Essential to the result is that this qua…