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On numerical solution of the Schrödinger equation: the shooting method revisited
(Computer Physics Communications, 1995)
An alternative formulation of the "shooting" method for a numerical solution of the Schrödinger equation is described for cases of general asymmetric one-dimensional potential (planar geometry), and spherically symmetric ...
Some Properties of the Line Graphs Associated to the Total Graph of a Commutative Ring
(Pure and Applied Mathematics Journal, 2014)
Let be a commutative ring with identity and its total graph. The subject of this article is the investigation of the properties of the corresponding line graph In particular, we determine the girth and clique number ...
Coherence loss and revivals in atomic interferometry: a quantum-recoil analysis
(Journal of Physics A-Mathematical and Theoretical, 2012)
The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only ...
On the genus of the intersection graph of ideals of a commutative ring
(Journal of Algebra and Its Applications, 2014)
To each commutative ring R one can associate the graph G(R), called the intersection graph of ideals, whose vertices are nontrivial ideals of R. In this paper, we try to establish some connections between commutative ring ...
Geometric Redesign of the Subdivided Surface of CC II: Application In Architecture
(Bucharest, Romania: SORGING–ROMANIAN SOCIETYFORENGINEERINGGRAPHICS, 2019)
The concave polyhedral surface of CC II can be used as a structural template for architectural design of domes, roofs or other covering or stand-alone structures. Subdivision of CC II faces in geometrically defined way can ...
On a generalized Jordan normal form of an infinite upper triangular matrix
(Taylor & Francis Ltd, United Kingdom, 2019)
Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
Visualizing properties of a quadratic function using Torricelli’S fountain
(American Association of Physics Teachers, 2020)
In the same chapter of his book Opera geometrica, Torricelli published1 two discoveries: 1) initial velocity of a jet from a container increases with the square root of the depth of the hole¸ 2) he draw the pattern of ...
Trajectory-based interpretation of laser light diffraction by a sharp edge
(Springer New York LLC, 2018)
In the diffraction pattern produced by a half-plane sharp edge when it obstructs the passage of a laser beam, two characteristic regions are noticeable. There is a central region, where the diffraction of laser light appears ...
Subtle inconsistencies in the straightforward definition of the logarithmic function of annihilation and creation operators and a way to avoid them
(Journal of Physics A-Mathematical and Theoretical, 2009)
Using the resolution of identity spanned by coherent states of the harmonic oscillator, any entire function of the creation and the annihilation operators and its action on a vector in Hilbert space can be defined directly ...
Negative binomial states for the pseudoharmonic oscillator
(Physica Scripta, 2013)
In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, ...