Exact bound rovibrational spectra of the neon tetramer

2019 ◽  
Vol 151 (17) ◽  
pp. 174304
Author(s):  
János Sarka ◽  
Corey Petty ◽  
Bill Poirier
Keyword(s):  
Exact Bound ◽  
Rovibrational Spectra

scholarly journals A note on integral modification of the Meyer-König and Zeller operators

2003 ◽  
Vol 2003 (31) ◽  
pp. 2003-2009 ◽  
Author(s):  
Vijay Gupta ◽  
Niraj Kumar
Keyword(s):  
Rate Of Convergence ◽  
Bounded Variation ◽  
Present Note ◽  
Sharp Estimate ◽  
Functions Of Bounded Variation ◽  
Exact Bound ◽  
Bounded Variation Functions ◽  
Correct Estimate

Guo (1988) introduced the integral modification of Meyer-Kö nig and Zeller operatorsMˆnand studied the rate of convergence for functions of bounded variation. Gupta (1995) gave the sharp estimate for the operatorsMˆn. Zeng (1998) gave the exact bound and claimed to improve the results of Guo and Gupta, but there is a major mistake in the paper of Zeng. In the present note, we give the correct estimate for the rate of convergence on bounded variation functions.

Rovibrational spectra of Ar–SO2 and (SO2)2 van der Waals complexes in the v1 region of SO2

2021 ◽  
pp. 111559
Author(s):  
Xiang Li ◽  
Yuanyuan Pu ◽  
Zhuang Liu ◽  
Yinxin Sun ◽  
Chuanxi Duan
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Complexes ◽  
Rovibrational Spectra

scholarly journals Bound states of an inverse-cube singular potential: A candidate for electron-quadrupole binding

2019 ◽  
Vol 34 (28) ◽  
pp. 1950223 ◽  
Author(s):  
A. D. Alhaidari
Keyword(s):  
Bound States ◽  
Recursion Relation ◽  
Singular Potential ◽  
Electric Quadrupole ◽  
Exact Bound ◽  
Short Range Potential ◽  
Integrable Functions ◽  
Solution Energy ◽  
Expansion Coefficients ◽  
Square Integrable Functions

We use the Tridiagonal Representation Approach (TRA) to obtain exact bound states solution (energy spectrum and wave function) of the Schrödinger equation for a three-parameter short-range potential with [Formula: see text], [Formula: see text] and [Formula: see text] singularities at the origin. The solution is a finite series of square-integrable functions with expansion coefficients that satisfy a three-term recursion relation. The solution of the recursion is a non-conventional orthogonal polynomial with discrete spectrum. The results of this work could be used to study the binding of an electron to a molecule with an effective electric quadrupole moment which has the same [Formula: see text] singularity.

Exact bound-state solutions of the cut-off Coulomb potential inN-dimensional space

Pramana ◽  
1992 ◽  
Vol 39 (5) ◽  
pp. 493-499 ◽  
Author(s):  
R N Chaudhuri ◽  
M Mondal
Keyword(s):  
Coulomb Potential ◽  
Dimensional Space ◽  
Bound State ◽  
Exact Bound
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