MICROSCOPIC WAVE FUNCTION OF ALPHA CONDENSATION

2009 ◽  
Vol 24 (11) ◽  
pp. 2003-2018 ◽  
Author(s):  
AKIHIRO TOHSAKI ◽  
YASURO FUNAKI ◽  
HISASHI HORIUCHI ◽  
GERD RÖPKE ◽  
PETER SCHUCK ◽  
...  
Keyword(s):  
Wave Function ◽  
Pauli Principle ◽  
Numerical Results ◽  
Microscopic Model

We explain how to treat a microscopic wave function of α-condensation named THSR taking 3α-condensation as a typical example. The microscopic model, which fully takes into account the Pauli principle between all the constituent nucleons and effective inter-nucleon forces simultaneously, can play an important role in reproducing an α-gas-like nature thanks to α-condensation. We study its typical features by giving numerical results of the norm kernel for 3α-condensation.

THE INTERACTION OF A NUCLEON AND ALPHA CONDENSATE

2008 ◽  
Vol 17 (10) ◽  
pp. 2106-2109 ◽  
Author(s):  
AKIHIRO TOHSAKI
Keyword(s):  
Pauli Principle ◽  
Numerical Results ◽  
Microscopic Model ◽  
Cluster States ◽  
Equidistant Spectrum ◽  
Composite Bosons ◽  
Spectrum Model

A nucleon is available for examining the property of α-condensate, which consists of composite bosons. Only a microscopic model, which fully takes into account the Pauli principle between all the constituent nucleons, can play its role. We give numerical results by equidistant spectrum model for the system of a neutron and 3α-cluster states. We discuss whether an extra nucleon can exist in the center of α-condensate or not.

scholarly journals Microscopic model for the stacking-fault potential and the exciton wave function in GaAs

2020 ◽  
Vol 101 (12) ◽  
Author(s):  
Mikhail V. Durnev ◽  
Mikhail M. Glazov ◽  
Xiayu Linpeng ◽  
Maria L. K. Viitaniemi ◽  
Bethany Matthews ◽  
...  
Keyword(s):  
Wave Function ◽  
Stacking Fault ◽  
Microscopic Model ◽  
Exciton Wave Function

scholarly journals On the dynamics of gravity-induced wave function reduction

2021 ◽  
Vol 36 (26) ◽  
Author(s):  
Faramarz Rahmani ◽  
Mehdi Golshani
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
Equation Of Motion ◽  
Numerical Results ◽  
Reduction Time ◽  
Reduction Processes ◽  
Gravitational Forces ◽  
Bohmian Trajectories

In this study, we use the concept of Bohmian trajectories to present a dynamical and deterministic interpretation for the gravity-induced wave function reduction. We shall classify all possible regimes for the motion of a particle, based on the behavior of trajectories in the ensemble and under the influence of quantum and gravitational forces. In the usual approaches all the information is obtained from the wave function evolution. But, on the basis of Bohm’s deterministic quantum theory, we can investigate the motion of the particle during the reduction processes. This leads to analytical and numerical results for the reduction time and equation of motion of the particle. In this regard, a new visualization will be provided for the reduction time.

scholarly journals SHORT DISTANCE REPULSION AMONG BARYONS

2013 ◽  
Vol 22 (05) ◽  
pp. 1330012 ◽  
Author(s):  
SINYA AOKI ◽  
JANOS BALOG ◽  
TAKUMI DOI ◽  
TAKASHI INOUE ◽  
PETER WEISZ
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Lattice Qcd ◽  
Operator Product Expansion ◽  
Short Distance ◽  
Numerical Results ◽  
Wave Functions ◽  
Operator Product ◽  
Distance Behavior

We review recent investigations on the short distance behaviors of potentials among baryons, which are formulated through the Nambu–Bethe–Salpeter (NBS) wave function. After explaining the method to define the potentials, we analyze the short distance behavior of the NBS wave functions and the corresponding potentials by combining the operator product expansion (OPE) and a renormalization group (RG) analysis in the perturbation theory (PT) of QCD. These analytic results are compared with numerical results obtained in lattice QCD simulations.

scholarly journals Surface Motion of a Half-Space Containing an Elliptical-Arc Canyon under Incident SH Waves

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1884
Author(s):  
Hui Qi ◽  
Fuqing Chu ◽  
Jing Guo ◽  
Runjie Yang
Keyword(s):  
Wave Function ◽  
Half Space ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Expansion Method ◽  
Numerical Results ◽  
Mathieu Function ◽  
Axis Ratio ◽  
Function Expansion ◽  
Wave Function Expansion Method

The existence of local terrain has a great influence on the scattering and diffraction of seismic waves. The wave function expansion method is a commonly used method for studying terrain effects, because it can reveal the physical process of wave scattering and verify the accuracy of numerical methods. An exact, analytical solution of two-dimensional scattering of plane SH (shear-horizontal) waves by an elliptical-arc canyon on the surface of the elastic half-space is proposed by using the wave function expansion method. The problem of transforming wave functions in multi-ellipse coordinate systems was solved by using the extra-domain Mathieu function addition theorem, and the steady-state solution of the SH wave scattering problem of elliptical-arc depression terrain was reduced to the solution of simple infinite algebra equations. The numerical results of the solution are obtained by truncating the infinite equation. The accuracy of the proposed solution is verified by comparing the results obtained when the elliptical arc-shaped depression is degraded into a semi-ellipsoidal depression or even a semi-circular depression with previous results. Complicated effects of the canyon depth-to-span ratio, elliptical axis ratio, and incident angle on ground motion are shown by the numerical results for typical cases.

Identical particles and the helium atom

2021 ◽  
pp. 164-178
Author(s):  
Geoffrey Brooker
Keyword(s):  
Wave Function ◽  
Helium Atom ◽  
Pauli Principle ◽  
Quantum States ◽  
Spin States ◽  
Identical Particles ◽  
Space Wave

“Identical particles and the helium atom” introduces bosons and fermions. Fermion states are expressed in terms of Slater determinants and the Pauli Principle. Helium is presented in such a way as to show what properties are and are not due to electron identity. Quantum states are described according as the space wave function is symmetric or antisymmetric under interchange of labels attached to the electrons. These in turn form singlet and triplet spin states when the electrons’ fermion identity is taken into account. Helium is an example of LS coupling, but a rather stunted example.

Multireference State-Specific Coupled-Cluster Theory and Multiconfigurationality Index. BH Dissociation

2005 ◽  
Vol 70 (7) ◽  
pp. 1017-1033 ◽  
Author(s):  
Vladimir V. Ivanov ◽  
Ludwik Adamowicz ◽  
Dmitry I. Lyakh
Keyword(s):  
Wave Function ◽  
Numerical Results ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Coupled Cluster Method ◽  
Coupled Cluster Theory ◽  
Cluster Theory ◽  
Computer Aided

Multiconfigurationality index calculated for the coupled-cluster wave function based on an algorithm developed using a computer-aided generation approach is applied to analyze the multireference state-specific coupled-cluster method with the CAS reference (i.e. the so called the CAS(n,m)CCSD approach). The numerical results concern dissociation of the BH molecule where at larger displacement from the equilibrium significant quasi-degeneracy arises. The analysis shows that the CAS(n,m)CCSD approach performs very well in such a situation.

Analytical Evaluation of Two-Center Franck-Condon Overlap Integrals over Harmonic Oscillator Wave Function

2006 ◽  
Vol 61 (3-4) ◽  
pp. 141-145 ◽  
Author(s):  
Israfil I. Guseinov ◽  
Bahtiyar A. Mamedov ◽  
Arife S. Ekenoğlu
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Numerical Results ◽  
Binomial Coefficients ◽  
Overlap Integrals ◽  
Analytical Evaluation ◽  
Cpu Time ◽  
Oscillator Wave Function ◽  
Harmonic Oscillator Wave Function ◽  
Franck Condon

A unified treatment of Franck-Condon (FC) overlap integrals with arbitrary values of parameters is described. These integrals are represented in terms of binomial coefficients. For quick calculations, the binomial coefficients are stored in the memory of the computer. Therefore, the CPU time has been greatly reduced. Numerical results presented agree excellently with those obtained in the literature

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