In this work, we present a gauge principle that starts with the momentum space representation of position operator (x^i=iℏ∂∂pi), rather than starting (p^i=−iℏ∂∂xi). This extension can be seen as dynamical version Born’s reciprocity theory, which exchanges and momentum. We discuss some simple examples new type theory: (i) analog solutions from ordinary theory in (ii) Landau levels using fields, ...

Abstract We modify the calculation of quarkonium masses using radial WKB and Pekeris-type approximations for case three-dimensional, rotationally invariant non-commutative space. obtain corrections to charmonium ( $${\text {c}}\bar{{\text {c}}}$$ c ¯ ...

it is shown that a commutative reduced ring r is a baer ring if and only if it is a cs-ring; if and only if every dense subset of spec (r) containing max (r) is an extremally disconnected space; if and only if every non-zero ideal of r is essential in a principal ideal generated by an idempotent.

We propose that the notion of “quantum space” from Artin, Tate and Van den Bergh’s non-commutative algebraic geometry be considered the “non-commutative space” of a quantum group.

Article history: Received 24 April 2015 Received in revised form 9 June 2015 Accepted 11 June 2015 Available online 16 June 2015 Editor: M. Trodden We study inflation on a non-commutative space–time within the framework of enveloping algebra approach which allows for a consistent formulation of general relativity and of the standard model of particle physics. We show that within this framework,...