High-Order Perturbation Theory for the Bound States of an Electron in a Screened Coulomb Potential

Iafrate, G. J.; Mendelsohn, Lawrence B.

doi:10.1103/physrev.182.244

Cited by 73 publications

(10 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where P nl ͑r͒ is the radial wave function for the nlth shell. The numerical solutions 26 and higher order perturbation calculation 27 have been evaluated for Eq. ͑1͒.…”

Section: Theorymentioning

confidence: 99%

Hydrogen atoms in Debye plasma environments

Paul

2009

Physics of Plasmas

View full text Add to dashboard Cite

Plasma-screening effects are investigated on hydrogen atoms embedded in weakly coupled plasmas. In the present context, bound state wave functions are introduced related to the screening Coulomb potential ͑Debye model͒ using the Ritz variation method. The bound energies are derived from an energy equation, which contains one unknown variational parameter. To calculate the parameter numerically, fixed-point iteration scheme is used. The calculated energy eigenvalues for various Debye lengths agree well with the other available theoretical results. The radial wave functions and radial probability distribution functions are presented for different Debye lengths. The outcomes show that the plasma affects the embedded hydrogen atom.

show abstract

“…where P nl ͑r͒ is the radial wave function for the nlth shell. The numerical solutions 26 and higher order perturbation calculation 27 have been evaluated for Eq. ͑1͒.…”

Section: Theorymentioning

confidence: 99%

Hydrogen atoms in Debye plasma environments

Paul

2009

Physics of Plasmas

View full text Add to dashboard Cite

show abstract

“…Although the range of r is infinite, this expansion is intuitively reasonable for eigenstates where the extent of the electron cloud is small compared with D ; empirical justification comes from the agreement of the resulting energies with numerical calculations at large D (Iafrate and Mendelsohn 1969).…”

mentioning

confidence: 87%

Efficiency of laser systems utilizing short radiation pulses

Brodov¹,

Gavrilov²,

Galkin³

et al. 1990

Sov. J. Quantum Electron.

View full text Add to dashboard Cite

show abstract

“…However Iafrate and Mendelsohn (1969) have shown variationally that ( I , + 2 2G/e which, when combined with (6) yields, (2G/e)1'2 -1 ,< I , < (2G/e + &)l" -+.…”

Section: Some Properties Of the Screened Coulomb Potentialmentioning

confidence: 98%

The first book on picosecond dynamics of laser diodes: P P Vasil'ev Ultvafast Diode Lasers: Fundamentals and Applications

Семенов¹

1995

Quantum Electron.

View full text Add to dashboard Cite

Since the correspondence principle is certainly valid for transitions where sln, is small, we have also presented transition probabilities for the 5 --f 6 transition in figure 2. The first order result now has a considerably reduced range of validity in comparison with the 0 + 1 transition and is approximately valid for yo < 0.03. The correspondence principle solution, equation (2), for this transition is a better approximation than a 16-state computer solution and is valid for y o < 1.25, In general the smaller the ratio s/n,, the larger the range of validity of the correspondence principle approximation. It will, however, break down when classical perturbation theory becomes invalid for the classical system.In conclusion we wish to thank Professor I. C. Percival and Dr D. Richards for many helpful discussions.

show abstract

High-Order Perturbation Theory for the Bound States of an Electron in a Screened Coulomb Potential

Cited by 73 publications

References 20 publications

Hydrogen atoms in Debye plasma environments

Hydrogen atoms in Debye plasma environments

Efficiency of laser systems utilizing short radiation pulses

The first book on picosecond dynamics of laser diodes: P P Vasil'ev Ultvafast Diode Lasers: Fundamentals and Applications

Contact Info

Product

Resources

About