We described a q-deformation of a quantum dynamics in one dimension. We prove that there exists only one essential deforamtion of quantum dynamics.

The HMW effect in non-commutative quantum mechanics is studied. By solving the Dirac equations on non-commutative (NC) space and non-commutative phase space, we obtain topological HMW phase on NC space and NC phase space respectively, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly. PACS number(s): 02.40.Gh, 11.10.Nx, 03.65.-w

We investigate SUSY of Wess-Zumino models in non(anti-)commutative Euclidean superspaces. Non(anti-)commutative deformations break 1/2 SUSY, then non(anti)commutative Wess-Zumino models do not have full SUSY in general. However, we can recover full SUSY at specific coupling constants satisfying some relations. We give a general way to construct full SUSY non(anti-)commutative Wess-Zumino models...

A key notion bridging the gap between quantum operator algebras [22] and vertex operator algebras [4][8] is the definition of the commutativity of a pair of quantum operators (see section 2 below). This is not commutativity in any ordinary sense, but it is clearly the correct generalization to the quantum context. The main purpose of the current paper is to begin laying the foundations for a co...

T theory, research and practice of naturalistic hypnosis and happiness is explored with the current STEM perspectives of science, technology engineering, and mathematics. The quantum electrodynamic field theory of naturalistic hypnosis was presented at the first meeting of The American Society of Clinical Hypnosis (ASCH)that coincided with the founding of The American Journal of Clinical Hypnos...

Light is a unique carrier of information and it plays an essential role in developing future quantum technologies. Quantum devices that coherently and efficiently control quantum information are building blocks of quantum communication and sensing technologies. I present my research on quantum storage and manipulation of optical information using a novel technique known as gradient echo memory....

The remarkable recent experiments on ensembles of magnetically trapped ultracold alkali atoms have demonstrated the transition to a highly ordered phase, that has been attributed to the process of quantum-mechanical condensation, predicted long ago (1924) by Bose and Einstein. After having presented our argument against the above attribution, we show that the known phenomenology, including a di...

Received 7 August 2021DOI:https://doi.org/10.1103/PhysRevA.104.029903©2021 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasElectronic structure of atoms & moleculesElectronic transitionsRelativistic quantum electrodynamic effects in atoms, molecules,& ionsAtomic, Molecular Optical