scholarly journals Influence of the Pauli principle on two-cluster potential energy

2020 ◽  
Author(s):  
Yuliya Lashko ◽  
Victor S. Vasilevsky ◽  
Gennady F. Filippov
Keyword(s):  
Potential Energy ◽  
Energy Operator ◽  
Pauli Principle ◽  
Matrix Elements ◽  
Energy Matrix ◽  
Eigenvalues And Eigenfunctions ◽  
Cluster Systems ◽  
Potential Energy Matrix ◽  
The Matrix ◽  
Trapped States

We study effects of the Pauli principle on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant \boldsymbol{\alpha}𝛂-cluster channel. For this aim we construct matrix elements of two-cluster potential energy between cluster oscillator functions with and without full antisymmetrization. Eigenvalues and eigenfunctions of the potential energy matrix are studied in detail. Eigenfunctions of the potential energy operator are presented in oscillator, coordinate and momentum spaces. We demonstrate that the Pauli principle affects more strongly the eigenfunctions than the eigenvalues of the matrix and leads to the formation of resonance and trapped states.

Potential energy matrix elements between non-overlapping wave functions

1959 ◽  
Vol 11 (5) ◽  
pp. 628-634 ◽  
Author(s):  
N. Bernardes
Keyword(s):  
Potential Energy ◽  
Wave Functions ◽  
Matrix Elements ◽  
Energy Matrix ◽  
Potential Energy Matrix

Kinetic and potential energy matrix elements for the triton

1960 ◽  
Vol 16 (3) ◽  
pp. 405-422 ◽  
Author(s):  
G.H. Derrick
Keyword(s):  
Potential Energy ◽  
Matrix Elements ◽  
Energy Matrix ◽  
Potential Energy Matrix

Influence of the non-diagonal part of the potential energy matrix in the SbC13 molecule on the results of calculating the force constants of intermolecular interaction

1992 ◽  
Vol 23 (11) ◽  
pp. 589-593
Author(s):  
A. V. Kondyurin ◽  
N. K. Byelousova ◽  
S. L. Byelousova ◽  
A. T. Kozulin
Keyword(s):  
Potential Energy ◽  
Intermolecular Interaction ◽  
Force Constants ◽  
Energy Matrix ◽  
Potential Energy Matrix ◽  
Diagonal Part

A REALIZATION OF DYNAMIC GROUP FOR AN ELECTRON IN A UNIFORM MAGNETIC FIELD

2002 ◽  
Vol 11 (04) ◽  
pp. 265-271 ◽  
Author(s):  
SHISHAN DONG ◽  
SHI-HAI DONG
Keyword(s):  
Magnetic Field ◽  
Relativistic Electron ◽  
Uniform Magnetic Field ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Radial Wave ◽  
Creation And Annihilation Operators ◽  
The Matrix ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a non-relativistic electron in a uniform magnetic field are presented. A realization of the creation and annihilation operators for the radial wave-functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions ρ2 and [Formula: see text].

scholarly journals Semiglobal diabatic potential energy matrix for the N–H photodissociation of methylamine

2020 ◽  
Vol 152 (24) ◽  
pp. 244309
Author(s):  
Kelsey A. Parker ◽  
Donald G. Truhlar
Keyword(s):  
Potential Energy ◽  
Energy Matrix ◽  
Potential Energy Matrix

THE HIDDEN SYMMETRY FOR A QUANTUM SYSTEM WITH A PÖSCHL–TELLER-LIKE POTENTIAL

2003 ◽  
Vol 12 (06) ◽  
pp. 809-815 ◽  
Author(s):  
SHI-HAI DONG ◽  
GUO-HUA SUN ◽  
YU TANG
Keyword(s):  
Quantum System ◽  
Wave Functions ◽  
Matrix Elements ◽  
Eigenvalues And Eigenfunctions ◽  
Creation And Annihilation Operators ◽  
Commutation Relations ◽  
Hidden Symmetry ◽  
The Matrix ◽  
The Creation ◽  
Analytical Expressions

The eigenvalues and eigenfunctions of the Schrödinger equation with a Pöschl–Teller (PT)-like potential are presented. A realization of the creation and annihilation operators for the wave functions is carried out. It is shown that these operators satisfy the commutation relations of an SU(1,1) group. Closed analytical expressions are evaluated for the matrix elements of different functions, sin (ρ) and [Formula: see text] with ρ=πx/L.

scholarly journals An ab initio quasi-diabatic potential energy matrix for OH(2Σ) + H2

2011 ◽  
Vol 135 (23) ◽  
pp. 234307 ◽  
Author(s):  
Michael A. Collins ◽  
Oded Godsi ◽  
Shu Liu ◽  
Dong H. Zhang
Keyword(s):  
Potential Energy ◽  
Ab Initio ◽  
Energy Matrix ◽  
Potential Energy Matrix

scholarly journals Properties of a potential energy matrix in oscillator basis

2019 ◽  
Vol 409 ◽  
pp. 167930 ◽  
Author(s):  
Yu. A. Lashko ◽  
V.S. Vasilevsky ◽  
G.F. Filippov
Keyword(s):  
Potential Energy ◽  
Energy Matrix ◽  
Potential Energy Matrix ◽  
Oscillator Basis
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