Three-dimensional quasiclassical van Horn wave functions

1974 ◽  
Vol 17 (11) ◽  
pp. 1527-1530
Author(s):  
N. I. Zhirnov
Keyword(s):  
Three Dimensional ◽  
Wave Functions

RETARDATION EFFECTS IN COVARIANT THREE-DIMENSIONAL BOUND STATE WAVE FUNCTIONS

2005 ◽  
Vol 14 (06) ◽  
pp. 931-947 ◽  
Author(s):  
F. PILOTTO ◽  
M. DILLIG
Keyword(s):  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Relative Energy ◽  
Wave Functions ◽  
Three Dimensions ◽  
State Wave ◽  
Scalar Diquark ◽  
Bound State Wave Function ◽  
Retardation Effects

We investigate the influence of retardation effects on covariant 3-dimensional wave functions for bound hadrons. Within a quark-(scalar) diquark representation of a baryon, the four-dimensional Bethe–Salpeter equation is solved for a 1-rank separable kernel which simulates Coulombic attraction and confinement. We project the manifestly covariant bound state wave function into three dimensions upon integrating out the non-static energy dependence and compare it with solutions of three-dimensional quasi-potential equations obtained from different kinematical projections on the relative energy variable. We find that for long-range interactions, as characteristic in QCD, retardation effects in bound states are of crucial importance.

The molecular orbital theory of chemical valency. XII. The excited states of diatomic molecules

1953 ◽  
Vol 216 (1124) ◽  
pp. 1-10 ◽  
Keyword(s):  
Wave Equation ◽  
Excited States ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Wave Functions ◽  
Triplet States ◽  
Orbital Theory ◽  
Lennard Jones ◽  
Singlet States ◽  
Symmetry Properties

A method is developed for the solution of the wave equation for two electrons in the presence of two centres. The work of Lennard-Jones & Pople (1951) on the ground state of such a system is generalized so as to apply to all the excited states. Full advantage is taken of the symmetry properties of the wave functions, both in three-dimensional and six-dimensional space, to reduce the wave equation to a number of component parts, each of a particular symmetry type. This leads to sets of equations with characteristic symmetry properties appropriate to singlet states and triplet states, whether even or odd, positive or negative in the standard notation ( 1 ∑ - g ).

scholarly journals ANYONS ON HIGHER GENUS SURFACES — A CONSTRUCTIVE APPROACH

1993 ◽  
Vol 08 (38) ◽  
pp. 3683-3689 ◽  
Author(s):  
T.H. HANSSON ◽  
ANDERS KARLHEDE ◽  
ERIK WESTERBERG
Keyword(s):  
Braid Group ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Wave Functions ◽  
Constructive Approach ◽  
Component Structure ◽  
Flux Tubes ◽  
Concrete Realization ◽  
Higher Genus ◽  
Three Dimensional Space

We reconsider the problem of anyons on higher genus surfaces by embedding them in three-dimensional space. From a concrete realization based on three-dimensional flux tubes bound to charges moving on the surface, we explicitly derive all the representations of the spinning braid group. The component structure of the wave functions arises from winding the flux tubes around the handles. We also argue that the anyons in our construction must fulfil the generalized spin-statistics relation.

scholarly journals Theoretical Study of Excitonic Complexes in GaAs/AlGaAs Quantum Dots Grown by Filling of Nanoholes

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Mohamed Omri ◽  
Amor Sayari ◽  
Larbi Sfaxi
Keyword(s):  
Quantum Dots ◽  
Optical Properties ◽  
Fine Structure ◽  
Theoretical Study ◽  
Three Dimensional ◽  
Correlation Effect ◽  
Wave Functions ◽  
Transition Energies ◽  
New Family ◽  
Effective Mass Schrödinger Equation

In this work, a theoretical study of the electronic and the optical properties of a new family of strain-free GaAs/AlGaAs quantum dots (QDs) obtained by AlGaAs nanohole filling is presented. The considered model consists of solving the three-dimensional effective-mass Schrödinger equation, thus providing a complete description of the neutral and charged complex excitons’ fine structure. The QD size effect on carrier confinement energies, wave functions, and s-p splitting is studied. The direct Coulomb interaction impact on the calculated s and p states’ transition energies is investigated. The behaviour of the binding energy of neutral and charged excitons (X− and X+) and biexciton XX versus QD height is studied. The addition of the correlation effect allows to explain the nature of biexcitons often observed experimentally.

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