Critical Notes of Quantum Mechanics: Momentum Operators
Critical Notes of Quantum Mechanics: Momentum Operators

Summary/Abstract: In this note, we examine critically some basic features of momentum operators, both in the case of simple spatial context and in the case of spacetime. The natural choice for the domain H of the momentum operator is the Laurent Schwartz space Sn endowed with its own semi-metric topology and with the Dirac inner product. We emphasise that the right topology to consider is the standard Schwartz topology, not the topology induced by the above Dirac inner product which needs to provide probability issues and not continuity properties. The above choice for the space H satisfy at once some fundamental requirements of the theory.

• Details
• Contents