Quantum algebraic symmetries in nuclear physics

Quantum Algebraic Symmetries in Nuclear and Molecular Physics

Various applications of quantum algebraic techniques in nuclear structure physics and in molecular physics are briefly reviewed.

Quantum Algebraic Symmetries in Nuclear Structure

Various applications of quantum algebraic techniques in nuclear structure physics, such as the suq(2) rotator model and its extensions, the use of deformed bosons in the description of pairing correlations, and the construction of deformed exactly soluble models (Interacting Boson Model, Moszkowski model) are briefly reviewed. Emphasis is put in the study of the symmetries of the anisotropic qu...

Quantum physics as the projective representation theory of Noether symmetries

I construct lowest-energy representations of non-centrally extended algebras of Noether symmetries, including diffeomorphisms and reparametrizations of the observer’s trajectory. This may be viewed as a new scheme for quantization. First classical physics is formulated as the cohomology of a certain Koszul-Tate (KT) complex, using not only fields and antifields but also their conjugate momenta....

Symmetries Shared by Particle Physics and Quantum Optics

It is known that two coupled harmonic oscillators can support the symmetry group as rich as O(3, 3) which corresponds to the Lorentz group applicable to three space-like and three time-like coordinates. This group contains many subgroups, including O(3), O(3, 2), O(2, 1) which are already familiar to us. In this report, we discuss the symmetry of O(1, 1) which plays pivotal roles in quantum opt...

Quantum Physics: A Case for Anti-Realism?