scholarly journals Ground State Structure of a Coupled 2-Fermion System in Supersymmetric Quantum Mechanics

1997 ◽  
Vol 256 (2) ◽  
pp. 135-143
Author(s):  
Felix Finster
Keyword(s):  
Quantum Mechanics ◽  
Ground State ◽  
Supersymmetric Quantum Mechanics ◽  
Ground State Structure ◽  
Fermion System ◽  
State Structure

Ground state structure in supersymmetric quantum mechanics

1987 ◽  
Vol 178 (2) ◽  
pp. 313-329 ◽  
Author(s):  
Arthur Jaffe ◽  
Andrzej Lesniewski ◽  
Maciej Lewenstein
Keyword(s):  
Quantum Mechanics ◽  
Ground State ◽  
Supersymmetric Quantum Mechanics ◽  
Ground State Structure ◽  
State Structure

Calculation of energy eigenvalues via supersymmetric quantum mechanics

1989 ◽  
Vol 67 (10) ◽  
pp. 931-934 ◽  
Author(s):  
Francisco M. Fernández ◽  
Q. Ma ◽  
D. J. DeSmet ◽  
R. H. Tipping
Keyword(s):  
Quantum Mechanics ◽  
Ground State ◽  
Potential Energy Function ◽  
Supersymmetric Quantum Mechanics ◽  
Energy Eigenvalues ◽  
Arbitrary Power ◽  
Rational Function Approximation ◽  
Ricatti Equation ◽  
Original Potential ◽  
Ground State Energies

A systematic procedure using supersymmetric quantum mechanics is presented for calculating the energy eigenvalues of the Schrödinger equation. Starting from the Hamiltonian for a given potential-energy function, a sequence of supersymmetric partners is derived such that the ground-state energy of the kth one corresponds to the kth eigen energy of the original potential. Various theoretical procedures for obtaining ground-state energies, including a method involving a rational-function approximation for the solution of the Ricatti equation that is outlined in the present paper, can then be applied. Illustrative numerical results for two one-dimensional parity-invariant model potentials are given, and the results of the present procedure are compared with those obtainable via other methods. Generalizations of the method for arbitrary power-law potentials and for radial problems are discussed briefly.

Electronic Absorption and Ground State Structure of Carotenoid Molecules

2013 ◽  
Vol 117 (38) ◽  
pp. 11015-11021 ◽  
Author(s):  
Maria M. Mendes-Pinto ◽  
Elodie Sansiaume ◽  
Hideki Hashimoto ◽  
Andrew A. Pascal ◽  
Andrew Gall ◽  
...  
Keyword(s):  
Electronic Absorption ◽  
Ground State ◽  
Ground State Structure ◽  
State Structure

scholarly journals FIELD DECOMPOSITION AND THE GROUND STATE STRUCTURE OF SU(2) YANG–MILLS THEORY

2002 ◽  
Vol 17 (25) ◽  
pp. 3681-3688 ◽  
Author(s):  
LISA FREYHULT
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Scalar Fields ◽  
Background Field ◽  
Field Method ◽  
Gauge Fields ◽  
Ground State Structure ◽  
State Structure ◽  
Yang Mills ◽  
Background Field Method

We compute the effective potential of SU(2) Yang–Mills theory using the background field method and the Faddeev–Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar fields in the decomposition and that its structure will give rise to a symmetry breaking.

Theoretical Study on the Ground State Structure of Uranofullerene U@C82

2012 ◽  
Vol 116 (47) ◽  
pp. 11651-11655 ◽  
Author(s):  
Xin Liu ◽  
Lin Li ◽  
Bo Liu ◽  
Dongqi Wang ◽  
Yuliang Zhao ◽  
...  
Keyword(s):  
Ground State ◽  
Theoretical Study ◽  
Ground State Structure ◽  
State Structure
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