Wave functions for the hydrogen atom in a dense plasma

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 protonelectron interaction the DebyeHuckel 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

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SUSY SUPERPOTENTIALS FOR A CONFINED HULTHÉN POTENTIAL

Modern Physics Letters A ◽

10.1142/s0217732304016202 ◽

2004 ◽

Vol 19 (37) ◽

pp. 2757-2764 ◽

Cited By ~ 9

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.

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

Canadian Journal of Physics ◽

10.1139/p76-075 ◽

1976 ◽

Vol 54 (6) ◽

pp. 672-679 ◽

Cited By ~ 58

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.

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NONLINEAR MOBILITY IN A SUPERCONDUCTING TUNNEL JUNCTION INVOLVING VARIATIONAL WAVE FUNCTIONS

Modern Physics Letters B ◽

10.1142/s0217984994001308 ◽

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)).

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