k⋅pHamiltonian without spurious-state solutions

2003 ◽  
Vol 68 (16) ◽  
Author(s):  
K. I. Kolokolov ◽  
J. Li ◽  
C. Z. Ning
Keyword(s):  
Spurious State

Microscopic description of ground state magnetic moment and low-lying magnetic dipole excitations in heavy odd-mass 181Ta nucleus

2016 ◽  
Vol 25 (08) ◽  
pp. 1650053 ◽  
Author(s):  
Emre Tabar ◽  
Hakan Yakut ◽  
Ali Akbar Kuliev
Keyword(s):  
Excited States ◽  
Magnetic Dipole ◽  
Ground State ◽  
Magnetic Moments ◽  
Nuclear Model ◽  
Spurious State ◽  
Restoration Method ◽  
State Mixing ◽  
Self Consistency

The ground state magnetic moments and the low-lying magnetic dipole (Ml) transitions from the ground to excited states in heavy deformed odd-mass [Formula: see text]Ta have been microscopically investigated on the basis of the quasiparticle-phonon nuclear model (QPNM). The problem of the spurious state mixing in M1 excitations is overcome by a restoration method allowing a self-consistent determination of the separable effective restoration forces. Due to the self-consistency of the method, these effective forces contain no arbitrary parameters. The results of calculations are compared with the available experimental data, the agreement being reasonably satisfactory.

ROTATIONAL-INVARIANT MODEL OF THE STATES WITH Kπ=1+ AND THEIR CONTRIBUTION TO THE SCISSORS MODE

2000 ◽  
Vol 09 (03) ◽  
pp. 249-261 ◽  
Author(s):  
A. A. KULIEV ◽  
R. AKKAYA ◽  
M. ILHAN ◽  
E. GULIYEV ◽  
C. SALAMOV ◽  
...  
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Mean Field ◽  
Zero Energy ◽  
Spurious State ◽  
Scissors Mode ◽  
Spin Interactions ◽  
Restoring Forces ◽  
Rotational Invariant

Within the Random-Phase Approximation the method of self-consistent determination of the isoscalar and isovector effective separable interactions restoring a broken symmetry of the deformed mean-field is given. The method allows to treat more rigorously without free parameters the properties of the scissors mode and is used to develop the rotational invariant microscopic model of the states with Kπ=1+. The spurious state separates out and has zero energy. An important consequence of this separation is the fragmentation of the scissors mode and the collectivization of the low-lying 1+ states. In addition to the isoscalar restoring interactions the consideration of the isovector restoring forces in calculations causes the splitting of the states with large B(M1) strength at low energy. The model contains a single parameter of isovector spin-spin interactions and it allows one to describe satisfactorily the fragmentation of the scissors mode and the dependence of the summed B(M1) strength on δ2 and A in deformed nuclei.

The Characteristics of the Convergence Time of Associative Neural Networks

1993 ◽  
Vol 5 (3) ◽  
pp. 463-472 ◽  
Author(s):  
Toshiaki Tanaka ◽  
Miki Yamada
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Computer Simulations ◽  
Large Scale ◽  
Convergence Property ◽  
Convergence Time ◽  
Spurious State ◽  
State Equations ◽  
Additional Procedure ◽  
Successful Recall

The authors have analyzed the dynamics of associative neural networks based on macroscopic state equations and have shown that both a layered associative net and an autocorrelation type net have the same convergence property: If a recalling process succeeds, the network converges very fast to one of the memorized patterns. But if a recalling process fails, it converges very slowly to a spurious state or does not converge. This property was also checked by computer simulations on a large scale (N = 1000) neural network. Moreover, it is shown that the convergence time for a successful recall is of order log(N). If this convergence time difference is used, execution time and memory can be saved and it can be determined whether a recalling process succeeds or fails without any additional procedure.

MAXIMAL-DECOUPLING VARIATIONAL PRINCIPLE AND OPTIMAL AUXILIARY HAMILTONIANS FOR NUCLEAR COLLECTIVE MOTIONS

1993 ◽  
Vol 02 (supp01) ◽  
pp. 143-157
Author(s):  
Ching-teh Li
Keyword(s):  
Variational Principle ◽  
Shell Model ◽  
Present Method ◽  
Degrees Of Freedom ◽  
Body Problem ◽  
Many Body ◽  
Spurious State ◽  
State Problem ◽  
Collective Motions ◽  
Pairing Interactions

A variational principle of maximal decoupling between the collective and noncollective subspaces has recently been proposed to pin down the collective degrees of freedom of the nuclear many-body problem. This maximal-decoupling variational principle is further utilized here to determine in an optimal way the auxiliary Hamiltonians to be used in severely truncated boson-space calculations for nuclear collective motions. In the present method one treats the spurious-state problem in truncated boson-space calculations by using appropriate auxiliary boson Hamiltonians. The viability of the method is demonstrated through its application to a simplified shell model containing only the monopole pairing interactions.

True versus spurious state dependence in firm performance

2007 ◽  
Vol 35 (2) ◽  
pp. 207-228 ◽  
Author(s):  
Ulrich Kaiser ◽  
Hans Christian Kongsted
Keyword(s):  
Firm Performance ◽  
State Dependence ◽  
Spurious State

Spurious state in connection with β-vibration of nuclei

1962 ◽  
Vol 26 (4) ◽  
pp. 787-789 ◽  
Author(s):  
D. Bés ◽  
Z. Szymański
Keyword(s):  
Spurious State

scholarly journals A Collective Rotational State of Spherical Nuclei

1976 ◽  
Vol 29 (5) ◽  
pp. 363 ◽  
Author(s):  
JR Henderson ◽  
J Lekner
Keyword(s):  
Angular Momentum ◽  
Excited States ◽  
Single Particle ◽  
First Principles ◽  
Finite System ◽  
Rotational Excitation ◽  
Many Body ◽  
Spurious State ◽  
System Of Particles ◽  
Spherical Nuclei

We consider a particular many-body rotational excitation 'P of a spherical self-bound system of particles, of the form studied by Lekner (1974). This angular momentum eigenstate is translationally invariant and thus is not a spurious state. The energy of 'P is found from first principles to be substantially larger than that of the first 2+ excited states of even-even nuclei, with the exception of 208Pb. The quadrupole moment is negative, the g-factor is approximately Z/A and the lifetime is shorter than the single-particle (Weisskopf) value by a factor of the order of A/Z2. It is suggested that these states are the finite system rotational analogues of Feynman's phonons and rotons.

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