47 citations · 191 across the 18 of their papers we have counts for
18 papers
Jacobi Group Symmetry of Hamilton's Mechanics
Stephen G. Low, Rutwig Campoamor-Stursberg
We show that the diffeomorphisms of an extended phase space with time, energy, momentum and position degrees of freedom that leave invariant the symplectic 2-form and and a degener…
Noninertial Relativistic Symmetry
Stephen G. Low
The definition of invariant time is fundamental to relativistic symmetry. Invariant time may be formulated as a degenerate orthogonal metric on a flat phase space with time, positi…
Projective representations of the inhomogeneous symplectic group: Quantum symmetry origins of the Heisenberg commutation relations
Stephen G. Low
Quantum symmetries that leave invariant physical transition probabilities are described by projective representations of Lie groups. The mathematical theory of projected representa…
Maximal quantum mechanical symmetry: Projective representations of the inhomogenous symplectic group
Stephen G. Low
A symmetry in quantum mechanics is described by the projective representations of a Lie symmetry group that transforms between physical quantum states such that the square of the m…
Projective Representations of the Inhomogeneous Hamilton Group: Noninertial Symmetry in Quantum Mechanics
S. G. Low, P. D. Jarvis, R. Campoamor-Stursberg
Symmetries in quantum mechanics are realized by the projective representations of the Lie group as physical states are defined only up to a phase. A cornerstone theorem shows that…
Relativity implications of the quantum phase
Stephen G. Low
The quantum phase leads to projective representations of symmetry groups in quantum mechanics. The projective representations are equivalent to the unitary representations of the c…