scholarly journals Asymptotic wave functions and energy distributions for long-range perturbations of the d'Alambert equation

1982 ◽  
Vol 34 (1) ◽  
pp. 143-171 ◽  
Author(s):  
Kiyoshi MOCHIZUKI
Keyword(s):  
Long Range ◽  
Wave Functions ◽  
Energy Distributions

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.

Multifractality–Monofractality Phase Transition in the Anderson Model

1998 ◽  
Vol 12 (22) ◽  
pp. 921-927
Author(s):  
A. Bershadskii
Keyword(s):  
Phase Transition ◽  
Numerical Simulations ◽  
Specific Heat ◽  
Long Range ◽  
Anderson Model ◽  
Wave Functions ◽  
Bernoulli Distribution ◽  
Dipole Interactions

It is shown that statistics of multifractality–monofractality phase transition is described by a generalization of the Bernoulli distribution (multifractal Bernoulli distribution). It is also shown that this distribution is observed in numerical simulations of multifractal wave functions which use the Anderson model, both for short- and long-range disorder. In the last case (corresponding to the dipole interactions) the multifractal specific heat of the most eigenstates — c ≃ d/3, where d is dimension of the space.

Influence of Chemical Disorder, Magnetic Field and Phason Flipd on the Localization of Electronic States in a Regular Icosahedral Quasicrystal

2000 ◽  
Vol 643 ◽  
Author(s):  
Yu.Kh. Vekilov ◽  
E.I. Isaev ◽  
S.F. Arslanov
Keyword(s):  
Magnetic Field ◽  
Electronic Spectrum ◽  
Long Range ◽  
Electronic States ◽  
Wave Functions ◽  
Icosahedral Quasicrystal ◽  
Long Range Order ◽  
Level Statistic ◽  
Chemical Disorder ◽  
Icosahedral Quasicrystals

AbstractThe influence of substitutional chemical disorder, magenetic field and phasons, on the electronic spectrum and wave functions of icosahedral quasicrystals is investigated by means of tight-biding approximation and level statistic method. The results show that the localization of electronic states in an ideal quasictystal exists due to their coherent interfernce at the Fremi level which is caused by the symmetry and aperiodic long-range order.

The binding energies of s-shell nuclei

1969 ◽  
Vol 47 (24) ◽  
pp. 2825-2834 ◽  
Author(s):  
J. Law ◽  
R. K. Bhaduri
Keyword(s):  
Binding Energy ◽  
Long Range ◽  
Hard Core ◽  
Nucleon Nucleon ◽  
Interference Term ◽  
Binding Energies ◽  
Wave Functions ◽  
A Value ◽  
Range Part ◽  
Central Forces

We have calculated the binding energies of 4He and 3H with soft- and hard-core nucleon–nucleon potentials. With central forces, using harmonic-oscillator wave functions, we find that accurate results can be obtained by taking only the long-range part of the potential and its second-order perturbative term. When tensor forces are present, the long-range interference term is also included in the calculation. In this case, the method is not accurate and underbinds these nuclei by about 1 MeV per particle. Ignoring Coulomb forces, our method yields a value of 18.5 MeV for the binding energy of 4He with the Hamada–Johnston potential.

Constrained self-consistent-field wave functions with improved long-range behavior

1992 ◽  
Vol 44 (6) ◽  
pp. 985-995 ◽  
Author(s):  
Ajit J. Thakkar ◽  
Toshikatsu Koga ◽  
Hisashi Matsuyama ◽  
Edet F. Archibong
Keyword(s):  
Long Range ◽  
Wave Functions ◽  
Consistent Field ◽  
Self Consistent ◽  
Self Consistent Field ◽  
Field Wave

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
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