Physics – Quantum Physics
Scientific paper
1999-03-07
J.Phys. A 33, 8305-8318 (2000) revised version
Physics
Quantum Physics
RevTex, 24 pages, 1 eps and 5 ps figures, format changes
Scientific paper
10.1088/0305-4470/33/46/311
We propose a quantum mechanics of extended objects that accounts for the finite extent of a particle defined via its Compton wavelength. The Hilbert space representation theory of such a quantum mechanics is presented and this representation is used to demonstrate the quantization of spacetime. The quantum mechanics of extended objects is then applied to two paradigm examples, namely, the fuzzy (extended object) harmonic oscillator and the Yukawa potential. In the second example, we theoretically predict the phenomenological coupling constant of the $\omega$ meson, which mediates the short range and repulsive nucleon force, as well as the repulsive core radius.
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