The Klauder-Daubechies Construction of the Phase Space Path Integral and the Harmonic Oscillator
(2009) Journal of Physics A: Mathematical and Theoretical — Vol. 42, n° 44, p. 445304 (2009)
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- Authors
Govaerts, Jan 
- Abstract
- (en) The canonical operator quantisation formulation corresponding to the Klauder-Daubechies construction of the phase space path integral is considered. This formulation is explicitly applied and solved in the case of the harmonic oscillator, thereby illustrating in a manner complementary to Klauder and Daubechies' original work some of the promising features offered by their construction of a quantum dynamics. The Klauder-Daubechies functional integral involves a regularisation parameter eventually taken to vanish, which defines a new physical time scale. When extrapolated to the field theory context, besides providing a new regularisation of short distance divergences, keeping a finite value for that time scale offers some tantalising prospects when it comes to strong gravitational quantum systems. Comment: 18 pages
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Govaerts, J., Bwayi, C. M., & Mattelaer, O. (2009). The Klauder-Daubechies Construction of the Phase Space Path Integral and the Harmonic Oscillator. Journal of Physics A: Mathematical and Theoretical, 42(44), 445304. https://doi.org/10.1088/1751-8113/42/44/445304 (Original work published 2009)