REVIEW 2 cited by
Generalized Extended Momentum Operator
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
Signed reviews
abstract
We study and generalize the momentum operator satisfying the extended uncertainty principle relation (EUP). This generalized extended momentum operator (GEMO) consists of an arbitrary auxiliary function of position operator, $\mu \left( x\right) $, in such a combination that not only GEMO satisfies the EUP relation but also it is Hermitian. Next, we apply the GEMO to construct the generalized one-dimensional Schr\"{o}dinger equation. Upon using the so called point canonical transformation (PCT), we transform the generalized Schr\"{o}dinger equation from $x$-space to $z$-space where in terms of the transformed coordinate, $z$, it is of the standard form of the Schr\"{o}dinger equation. In continuation, we study two illustrative examples and solve the corresponding equations analytically to find the energy spectrum.
Forward citations
Cited by 2 Pith papers
-
Degenerate four-wave mixing in a CPT-symmetric coupler with intermodal dispersion
In a CPT-symmetric dual-core Kerr coupler with dispersive coupling, degenerate four-wave mixing admits four branch configurations, and near the exceptional point one pump simultaneously satisfies two distinct sideband...
-
Not-Quite-Transcendental Functions For Logarithmic Interpolation of Tabulated Data
Second-order NQT functions, a C^1 piecewise quadratic approximation to log2, preserve second-order convergence of linear interpolation on logarithmic grids while running faster than true logarithms.
Discussion (0). Continue with ORCID to comment.