REVIEW 3 cited by
Self-adjoint extensions of operators and the teaching of quantum mechanics
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Self-adjoint extensions of operators and the teaching of quantum mechanics
read the original abstract
For the example of the infinitely deep well potential, we point out some paradoxes which are solved by a careful analysis of what is a truly self-adjoint operator. We then describe the self-adjoint extensions and their spectra for the momentum and the Hamiltonian operators in different physical situations. Some consequences are worked out, which could lead to experimental checks.
Forward citations
Cited by 3 Pith papers
-
Boundary conditions and Hilbert spaces in no-roll quantum cosmology
In no-roll quantum cosmology, fixing the integration constant for potential energy yields a one-dimensional Hilbert space selecting Vilenkin's tunnelling wavefunction, while arbitrary values permit an infinite-dimensi...
-
Polymer quantum mechanics on compact configuration spaces
Polymer quantization on compact spaces yields finite graph Hilbert spaces whose exact ring and box spectra recover Schrödinger QM as lattice spacing vanishes.
-
All Hilbert spaces are the same: consequences for generalized coordinates and momenta
All separable Hilbert spaces of given dimension being isomorphic implies exactly six basic generalized coordinate operators and seven coordinate-momentum pairs via self-adjoint or Neumark extensions.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.