Integral Transforms in Relativistic Quantum Constraint Mechanics

Details Integral Transforms in Relativistic Quantum Constraint Mechanics Integral Transforms in Relativistic Quantum Constraint Mechanics

2011-01-29

arxiv.org/abs/1101.5665v1

Physics

Quantum Physics

10 pages

Scientific paper

In relativistic quantum constraint mechanics the state of a physical system is constrained to a 3-dimensional subspace of Minkowski 4-space. Fourier transformation can be used to relate this state between constraint spaces in 4-position and 4-momentum space. It is shown that integral transforms of this nature can be carried out using Lorentz-invariant 3-dimensional constraint space coordinates such that a complete equivalence class of 4-space representations can be constructed from the transform. This method is further applied to develop a relativistic generalization of the Segal-Bargmann transformation that leads to the representation of quantum systems in a three-dimensional subspace of Bargmann 4-space.

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