The observed preponderance of ground states with angular momentum L=0 in many-body quantum systems with random two-body interactions is analyzed in terms of correlation coefficients (covariances) among different eigenstates. It is shown that the geometric analysis of Chau can be interpreted in terms of correlations (covariances) between energy...
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April 25, 2017 (v1)PublicationUploaded on: March 27, 2023
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July 14, 2017 (v1)Publication
Transfer reactions constitute a stringent test for nuclear supersymmetry, a theory that simultaneously describes neighboring nuclei with bosonic and fermionic character. We construct and analytically evaluate one-nucleon transfer matrix elements between supersymmetric partners with the U( 6/4) case as an example, and stress the...
Uploaded on: December 4, 2022 -
September 15, 2017 (v1)Publication
We apply a symmetry-adapted algebraic model to the vibrational excitations in D_3h and T_d molecules. A systematic procedure is used to establish the relation between the algebraic and configuration space formulations. In this way we have identified interaction terms that were absent in previous formulations of the vibron model. The inclusion...
Uploaded on: March 27, 2023 -
September 8, 2017 (v1)Publication
The relation between algebraic and traditional calculations of molecular vibrations is investigated. An explicit connection between interactions in configuration space and the corresponding algebraic interactions is established.
Uploaded on: December 4, 2022 -
May 18, 2017 (v1)Publication
We present results of a calculation of properties of low-lying collective quadrupole states in odd-even nuclei within the framework of the proton-neutron interacting boson-fermion model.
Uploaded on: March 27, 2023 -
April 15, 2019 (v1)Publication
We introduce the anharmonic oscillator symmetry model to describe vibrational excitations in molecular systems exhibiting a high degree of symmetry. A systematic procedure is proposed to establish the relation between the algebraic and configuration space formulations, leading to new interactions in the algebraic model. This approach...
Uploaded on: March 27, 2023 -
April 8, 2019 (v1)Publication
An algebraic model in terms of a local harmonic boson realization was recently proposed to study molecular vibrational spectra [Zhong-Qi Ma et al., Phys. Rev. A 53, 2173 (1996)]. Because of the local nature of the bosons the model has to deal with spurious degrees of freedom. An approach to eliminate the latter from both the Hamiltonian and the...
Uploaded on: December 4, 2022 -
February 27, 2015 (v1)Publication
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Uploaded on: December 5, 2022 -
April 15, 2019 (v1)Publication
An algebraic method especially suited to describe the strongly anharmonic vibrational spectra in molecules may be an appropriate framework to study the vibrational spectra of Na+n clusters, where nearly flat potential energy surfaces and the appearance of close lying isomers have been reported. As an illustration we describe the model and apply...
Uploaded on: March 27, 2023 -
March 3, 2015 (v1)Publication
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Uploaded on: March 27, 2023 -
April 25, 2017 (v1)Publication
We present evidence for a new supersymmetric quartet in the A~190 region of the nuclear mass table. New experimental information on transfer and neutron capture reactions to the odd-odd nucleus 194Ir strongly suggests the existence of a new supersymmetric quartet, consisting of the 192,193Os and 193,194Ir nuclei. We make explicit predictions...
Uploaded on: March 27, 2023