Wave Functions of Pentadiagonal Matrices in the Weak Coupling Limit

Abstract

We consider a pentadiagonal matrix which will be described in the text. We demonstrate practical methods for obtaining weak coupling expressions for the lowest eigenvector in terms of the parameters in the matrix, v and w. It is found that the expressions simplify if the wave function coefficients are put in the denominator.

References in corpus (7)

• Low-energy enhancement of magnetic dipole radiation
• Large low-energy $M1$ strength for ${}^{56,57}$Fe within the nuclear shell model
• Low energy magnetic radiation enhancement in the f${}_{7/2}$ shell
• Matrix Model of Strength Distribution: Extension and Phase Transition
• Relation between exponential behavior and energy denominators -- Weak Coupling Limit
• Cascade Calculations with Schematic Interactions
• Distribution of Magnetic Dipole Strength -Binning

Cited by in corpus (2)

• Matrix Model: Emergence of a Quantum Number in the Strong Coupling Regime
• Comparisons of Matrices with Different Elements but Identical Eigenvalues