Algorithm for solving the anharmonic vibratiqnal-rotational problem using curvilinear vibrational coordinates and the momentum representation for rotational wave functions

1988 ◽  
Vol 48 (1) ◽  
pp. 83-88 ◽  
Author(s):  
A. I. Pavlyuchko
Keyword(s):  
Wave Functions ◽  
Momentum Representation ◽  
Rotational Wave ◽  
Rotational Problem

Momentum Representation of the Coulomb Scattering Wave Functions

1951 ◽  
Vol 83 (3) ◽  
pp. 667-668 ◽  
Author(s):  
E. Guth ◽  
C. J. Mullin
Keyword(s):  
Wave Functions ◽  
Coulomb Scattering ◽  
Momentum Representation ◽  
Scattering Wave

On the momentum representation of hydrogenic wave functions: Some properties and an application

1993 ◽  
Vol 61 (1) ◽  
pp. 28-35 ◽  
Author(s):  
J. D. Hey
Keyword(s):  
Wave Functions ◽  
Momentum Representation

Momentum representation of Dirac relativistic wave functions

1984 ◽  
Vol 30 (3) ◽  
pp. 1537-1539 ◽  
Author(s):  
C. V. Sheth
Keyword(s):  
Wave Functions ◽  
Momentum Representation ◽  
Relativistic Wave

scholarly journals Alternating Coordinate-Momentum Representation for Quantum States Based on Bopp Operators for Modelling Long-Distance Coherence Aspects

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Ezzat G. Bakhoum ◽  
Cristian Toma
Keyword(s):  
Wave Train ◽  
Linear Equations ◽  
Quantum States ◽  
Wave Functions ◽  
Momentum Representation ◽  
Long Distance ◽  
Support Functions ◽  
Vector Potentials ◽  
Time Origin ◽  
Good Manner

This study presents an alternating coordinate-momentum representation for propagation and transition of associated wave function, based on Bopp operators and on a certain symbolic determinant corresponding to a set of two linear equations with null free terms. It is shown that this alternating representation can justify in a good manner the patterns created through reflection/refraction of waves on nonperfectly smooth interfaces and phase correspondence of diffracted beams without the need of supplementary support functions. Correlations with Lorentz transformation of wave functions by interaction with a certain material medium (the space-time origin of a wave-train being adjusted) are also presented, and supplementary aspects regarding the use of electromagnetic scalar and vector potentials for modelling evolution within this alternating representation are added.

scholarly journals ON A METHOD OF CALCULATION OF NON-AXIAL ROTATIONAL WAVE FUNCTIONS AND ENERGY LEVELS OF ODD-A NUCLEI

1963 ◽  
Vol 19 (2) ◽  
pp. 99
Author(s):  
HAN WEN-SHU ◽  
SOU YOU-LIANG ◽  
YAN ING-CHOU
Keyword(s):  
Energy Levels ◽  
Wave Functions ◽  
Method Of Calculation ◽  
Rotational Wave

Ab initio Calculations of the Rotation-Vibration Spectrum of Na3+

1993 ◽  
Vol 58 (1) ◽  
pp. 24-28 ◽  
Author(s):  
Ladislav Češpiva ◽  
Vlasta Bonačič-Koutecký ◽  
Jaroslav Koutecký ◽  
Per Jensen ◽  
Vojtěch Hrouda ◽  
...  
Keyword(s):  
Potential Surface ◽  
Vibration Spectrum ◽  
Wave Functions ◽  
Basis Set ◽  
Morse Oscillator ◽  
Fundamental Frequencies ◽  
Rotational Wave ◽  
Rigid Molecule ◽  
Full Ci ◽  
Ci Calculations

SCF, 6C-SCF, MP4 and valence-electron full CI calculations were performed in order to determine the potential surface of Na3+. A power series in the variables yi = 1 - exp (-a∆ri), where ∆ri are bond length displacements from equilibrium, has been fitted through the surface obtained and used in a variational rotation-vibration calculations with a basis set of products of Morse-oscillator eigenfunctions and symmetric top rotational wave functions. In contrast to H3+, Na3+ behaves as a very rigid molecule and does not exhibit any anomalous anharmonicity. With our best potential surface, MP4, the predicted E' and A1' fundamental frequencies are 105.1 and 146.7 cm-1, and the harmonic E' and A1' frequencies are 106.5 and 148.3 cm-1.

Visualizing rotational wave functions of electronically excited nitric oxide molecules by using an ion imaging technique

2018 ◽  
Vol 20 (5) ◽  
pp. 3303-3309 ◽  
Author(s):  
Kenta Mizuse ◽  
Nao Chizuwa ◽  
Dai Ikeda ◽  
Takashi Imajo ◽  
Yasuhiro Ohshima
Keyword(s):  
Nitric Oxide ◽  
Imaging Technique ◽  
Wave Functions ◽  
Ion Imaging ◽  
Rotational Wave ◽  
Electronically Excited ◽  
Slice Imaging

Rotational eigenstates in electronically excited NO molecules have been visualized by a photoion spatial-slice imaging technique.

Vibrational and rotational wave functions for the triatomic van der Waals molecules helium dichloride, neon dichloride, and argon dichloride

1988 ◽  
Vol 92 (3) ◽  
pp. 587-593 ◽  
Author(s):  
B. P. Reid ◽  
K. C. Janda ◽  
N. Halberstadt
Keyword(s):  
Van Der Waals ◽  
Wave Functions ◽  
Van Der Waals Molecules ◽  
Rotational Wave

Transition from discrete to continuous spectrum: separable potential in one dimension

1990 ◽  
Vol 68 (4-5) ◽  
pp. 394-402 ◽  
Author(s):  
J. G. Muga ◽  
R. F. Snider
Keyword(s):  
Perturbation Theory ◽  
Phase Shift ◽  
Continuous Spectrum ◽  
Wave Functions ◽  
Phase Factor ◽  
One Dimension ◽  
Separable Potential ◽  
Level Shift ◽  
Momentum Representation ◽  
Convergence Parameter

An analysis is made of the transition from the discrete to the continuous spectrum for a separable potential in one dimension. The role played by the length of the box and the convergence parameter, ε, in the different limiting operations is discussed. Relations are found between scattering and perturbation theory matrices and wave functions in momentum representation. In particular, the known expression relating the level shift to the phase shift is recovered. The scattering and Brillouin–Wigner perturbation wave functions are in general not simply related by a phase factor.

scholarly journals Momentum representation of Coulomb wave functions and level shifts in bottomonium due to charm effects

2004 ◽  
Vol 70 (9) ◽  
Author(s):  
Haibin Wang ◽  
York-Peng Yao
Keyword(s):  
Wave Functions ◽  
Momentum Representation ◽  
Level Shifts
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