Long‐range asymptotic behavior of ground‐state wave functions, one‐matrices, and pair densities

1996 ◽  
Vol 105 (7) ◽  
pp. 2798-2803 ◽  
Author(s):  
Matthias Ernzerhof ◽  
Kieron Burke ◽  
John P. Perdew
Keyword(s):  
Asymptotic Behavior ◽  
Long Range ◽  
Ground State ◽  
Wave Functions ◽  
State Wave

LONG RANGE FORCES BETWEEN HYDROGEN MOLECULES

1955 ◽  
Vol 33 (11) ◽  
pp. 668-678 ◽  
Author(s):  
F. R. Britton ◽  
D. T. W. Bean
Keyword(s):  
Wave Function ◽  
Long Range ◽  
Ground State ◽  
Close Agreement ◽  
Van Der Waals ◽  
Wave Functions ◽  
Numerical Factor ◽  
Hydrogen Molecules ◽  
Static Quadrupole

Long range forces between two hydrogen molecules are calculated by using methods developed by Massey and Buckingham. Several terms omitted by them and a corrected numerical factor greatly change results for the van der Waals energy but do not affect their results for the static quadrupole–quadrupole energy. By using seven approximate ground state H2 wave functions information is obtained regarding the dependence of the van der Waals energy on the choice of wave function. The value of this energy averaged over all orientations of the molecular axes is found to be approximately −11.0 R−6 atomic units, a result in close agreement with semiempirical values.

Ground-State Wave Functions for He i andH−Obtained by the Superposition of Central Field Functions

1956 ◽  
Vol 104 (6) ◽  
pp. 1593-1595 ◽  
Author(s):  
Louis C. Green ◽  
Carolyn D. Chandler ◽  
Patricia P. Rush
Keyword(s):  
Ground State ◽  
Wave Functions ◽  
Central Field ◽  
State Wave

scholarly journals Solution of The Schrödinger Equation for Trigonometric Scarf Plus Poschl-Teller Non-Central Potential Using Supersymmetry Quantum Mechanics

2016 ◽  
Vol 4 (01) ◽  
pp. 1 ◽  
Author(s):  
Cari C ◽  
Suparmi S ◽  
Antomi Saregar
Keyword(s):  
Ground State ◽  
Energy Eigenvalue ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
State Wave ◽  
Shape Invariant ◽  
Raising Operator ◽  
Invariant Properties ◽  
Lowering Operator ◽  
Exact Energy

<span>In this paper, we show that the exact energy eigenvalues and eigen functions of the Schrödinger <span>equation for charged particles moving in certain class of noncentral potentials can be easily <span>calculated analytically in a simple and elegant manner by using Supersymmetric method <span>(SUSYQM). We discuss the trigonometric Scarf plus Poschl-Teller systems. Then, by operating <span>the lowering operator we get the ground state wave function, and the excited state wave functions <span>are obtained by operating raising operator repeatedly. The energy eigenvalue is expressed in the <span>closed form obtained using the shape invariant properties. The results are in exact agreement with <span>other methods.</span></span></span></span></span></span></span><br /></span>

Crystalline-field effect on ground-state wave functions of Cu2+ ions

1977 ◽  
Vol 42 (1) ◽  
pp. 77-84 ◽  
Author(s):  
B. N. Misra ◽  
Faujdar ◽  
R. Kripal
Keyword(s):  
Ground State ◽  
Field Effect ◽  
Wave Functions ◽  
Crystalline Field ◽  
State Wave
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