On the computation of dipole transitions in the HD molecule. Part II

1976 ◽  
Vol 54 (6) ◽  
pp. 672-679 ◽  
Author(s):  
L. Wolniewicz
Keyword(s):  
Ground State ◽  
Wave Functions ◽  
Nonadiabatic Coupling ◽  
Transition Moments ◽  
The Mean ◽  
Variational Wave Functions ◽  
Theoretical Results ◽  
Variational Wave ◽  
Electronic Ground ◽  
Good Agreement

The nonadiabatic coupling with Πu states in the electronic ground state of the HD molecule is discussed. Formulas are given that facilitate the evaluation of Πu contributions to the energies and transition moments. Numerical computations are performed for all ν ≤ 4 vibrational and J ≤ 4 rotational levels yielding the Πu and Σu nonadiabatic corrections. The variational wave functions are employed to compute the transition moments for the 0–ν bands with ν ≤ 4. The results are in good agreement with experimental data except in the case of the 0–ν band where the theoretical results are larger than the mean experimental moment by a factor of about 1.4.

Wave functions for the hydrogen atom in a dense plasma

2003 ◽  
Vol 81 (11) ◽  
pp. 1243-1248 ◽  
Author(s):  
Y P Varshni
Keyword(s):  
Hydrogen Atom ◽  
Dense Plasma ◽  
Wave Functions ◽  
Electron Interaction ◽  
Dipole Polarizability ◽  
Variational Wave Functions ◽  
Absorption Oscillator Strength ◽  
Variational Wave ◽  
Good Agreement ◽  
03.65 Ge

A hydrogen atom in a high-density plasma is simulated by a model in which the hydrogen atom is confined in an impenetrable spherical box, with the atom at the centre. For the proton–electron interaction the Debye–Huckel potential is used. Variational wave functions are proposed for the 1s and 2p states. Energies calculated from these for different values of the radius of box (r0) are shown to be in good agreement with the exact values. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s [Formula: see text] 2p transition and the dipole polarizability for different values of r0. PACS Nos.: 03.65.Ge, 32.70.Os, 31.70.Dk, 52.20.–j

NONLINEAR MOBILITY IN A SUPERCONDUCTING TUNNEL JUNCTION INVOLVING VARIATIONAL WAVE FUNCTIONS

1994 ◽  
Vol 08 (21n22) ◽  
pp. 1343-1352
Author(s):  
A. EXTREMERA
Keyword(s):  
Tunnel Junction ◽  
Variational Approach ◽  
Current Model ◽  
Decay Rates ◽  
Wave Functions ◽  
Superconducting Tunnel Junction ◽  
Ferroelectric Capacitor ◽  
Variational Wave Functions ◽  
Variational Wave ◽  
Good Agreement

We consider the effect of dissipation on the nonlinear mobility in a superconducting tunnel junction. Using a variational approach, the critical mobility crucially depends on the coupling to the ohmic bath. At ultrasmall capacitances, good agreement is found with decay rates diagrams. The current model could be developed in other contexts, such as that of a ferroelectric capacitor, as proposed by Widom and Clark (Phys. Rev.B30, 1205 (1984)).

SUSY SUPERPOTENTIALS FOR A CONFINED HULTHÉN POTENTIAL

2004 ◽  
Vol 19 (37) ◽  
pp. 2757-2764 ◽  
Author(s):  
Y. P. VARSHNI
Keyword(s):  
Quantum Mechanics ◽  
Oscillator Strength ◽  
Wave Functions ◽  
Dipole Polarizability ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Variational Wave Functions ◽  
Absorption Oscillator Strength ◽  
Variational Wave ◽  
Good Agreement

A system consisting of an ion and an electron interacting through the Hulthén potential confined in an impenetrable spherical box, with the ion at the centre is considered. Superpotential which is the crucial quantity in supersymmetric quantum mechanics is proposed for the 1s and 2p states. Variational wave functions are thence derived. Energies are calculated from these for different values of the radius of box (R) and these are compared to the exact values; good agreement is shown to exist between the two. The variational wave functions are further employed to calculate the absorption oscillator strength for the 1s→2p transition and the dipole polarizability for different values of R.

scholarly journals Improved variational wave functions for few-body nuclei

1995 ◽  
Author(s):  
R B Wiringa ◽  
A Arriaga ◽  
V R Pandharipande
Keyword(s):  
Wave Functions ◽  
Variational Wave Functions ◽  
Variational Wave

Determination of hyperon properties through the variational method considering the hyperfine interaction

2019 ◽  
Vol 28 (10) ◽  
pp. 1950087 ◽  
Author(s):  
S. M. Moosavi Nejad ◽  
A. Armat
Keyword(s):  
Experimental Data ◽  
Wave Function ◽  
Ground State ◽  
Radiative Decay ◽  
Magnetic Moments ◽  
Wave Functions ◽  
Decay Widths ◽  
Free Parameters ◽  
Theoretical Results

Performing a fit procedure on the hyperon masses, we first determine the free parameters in the Cornell-like hypercentral potential between the constituent quarks of hyperons in their ground state. To this end, using the variational principle, we apply the hyperspherical Hamiltonian including the Cornell-like hypercentral potential and the perturbation potentials due to the spin–spin, spin–isospin and isospin–isospin interactions between constituent quarks. In the following, we compute the hyperon magnetic moments as well as radiative decay widths of spin-3/2 hyperons using the spin-flavor wave function of hyperons. Our analysis shows acceptable consistencies between theoretical results and available experimental data. This leads to reliable wave functions for hyperons at their ground state.

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