On the quasi-position representation in theories with a minimal length
Pasquale Bosso
Abstract
Abstract Quantum mechanical models with a minimal length are often described by modifying the commutation relation between position and momentum. Although this represents a small complication when described in momentum space, at least formally, the (quasi-)position representation acquires numerous issues, source of misunderstandings. In this work, we review these issues, clarifying some of the aspects of minimal length models, with particular reference to the representation of the position operator.
Topics & Concepts
PhysicsRepresentation (politics)Position (finance)Relation (database)CommutationTheoretical physicsMomentum (technical analysis)Algebra over a fieldPower (physics)Classical mechanicsCurrent (fluid)AlgorithmMinimal modelNoncommutative and Quantum Gravity TheoriesQuantum Mechanics and Non-Hermitian PhysicsBlack Holes and Theoretical Physics