Pairwise and higher-order statistical correlations in excited states of quantum oscillator systems

2021 ◽  
Vol 137 (1) ◽  
Author(s):  
Saúl J. C. Salazar ◽  
Humberto G. Laguna ◽  
Robin P. Sagar
Keyword(s):  
Excited States ◽  
Higher Order ◽  
Quantum Oscillator ◽  
Statistical Correlations

scholarly journals Higher Order Perturbation Corrections of Rotating Excited States in the Standard SU(3) Skyrme Model to Baryon Mass Spectrum

1997 ◽  
Vol 12 (05) ◽  
pp. 873-890 ◽  
Author(s):  
Jin-Ping Li ◽  
Mu-Lin Yan ◽  
Rong-Hua Yu
Keyword(s):  
Experimental Data ◽  
Mass Spectrum ◽  
Excited States ◽  
Higher Order ◽  
Skyrme Model ◽  
Order Perturbation ◽  
Third Order ◽  
The Third ◽  
Baryon Mass ◽  
Higher Order Corrections

The higher order corrections of SU(3) rotating excited states to the Gell-Mann–Okubo Relations (or GOR) are presented in the standard SU(3) Skyrme model. The Improved GOR (or IGOR) are obtained. The results show the IGOR for decuplet up to the third order and for octet up to the second order are much compatible with the experimental data. But things become quite inadequate for the octet to the third order. In order to overcome the inadequacy, a heuristic discussion is presented. The properties of SU(3) rotating excited states 27-let (with spin [Formula: see text] or [Formula: see text]), 10*-let (with spin [Formula: see text]) and 35-let (with spin [Formula: see text]) are also discussed.

FINITE TEMPERATURE APPROACH TO QUANTUM PHASE TRANSITIONS

2010 ◽  
Vol 20 (02) ◽  
pp. 397-401
Author(s):  
A. PLASTINO ◽  
E. M. F. CURADO
Keyword(s):  
Phase Transitions ◽  
Statistical Mechanics ◽  
Excited States ◽  
Finite Temperature ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Many Body ◽  
Statistical Correlations ◽  
Many Body Systems

We show how ordinary, finite-temperature tools of Statistical Mechanics can be used to detect quantum phase transitions in many-body systems. In particular, statistical correlations exhibit a quite idiosyncratic behavior at the critical interaction-strengths. Moreover, what one may call "soft quantum phase-transitions" (crossings of excited states) are characterized by the rather special way of vanishing that these correlations adopt.

scholarly journals Energy, fine structure, hyperfine structure, and transitions for the high-lying multi-excited 4Pe,o states of B-like ions

2016 ◽  
Vol 94 (5) ◽  
pp. 448-457
Author(s):  
Chun Mei Zhang ◽  
Yan Sun ◽  
Chao Chen ◽  
Feng Wang ◽  
Bin Shao ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Fine Structure ◽  
Hyperfine Structure ◽  
Excited States ◽  
Quantum Electrodynamic ◽  
Higher Order ◽  
Variation Method ◽  
First Order ◽  
Relativistic Corrections ◽  
First Order Perturbation

The energies of the high-lying multi-excited states 1s22s2pnl and 1s22p2nl 4Pe,o (n ≥ 2) for B-like C+, N2+, F4+, and Mg7+ ions are calculated using Rayleigh–Ritz variation method with multiconfiguration interaction, and the inclusion of mass polarization and relativistic corrections. The fine structure and hyperfine structure for these systems are investigated using first-order perturbation theory. The configuration structure of the high-lying multi-excited series is identified not only by energy, but also by its contribution to normalization of the angular spin components, and it is further tested by the addition of relativistic corrections and fine structure splittings. Transition wavelengths including the quantum electrodynamic effects and higher-order relativistic corrections are determined.

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