Based on an analysis of the inherent nodal structures of wave functions of 4-boson systems,we found that the internal energy of the 4_(1)^(+) state should be lower because its structure can be optimized without suffer...Based on an analysis of the inherent nodal structures of wave functions of 4-boson systems,we found that the internal energy of the 4_(1)^(+) state should be lower because its structure can be optimized without suffering a strong constraint arising from symmetry(while other 1≤L≤3 states suffer from this kind of constraints).Furthermore,two superior structures favorable in binding are found to be allowed to be possessed by 4^(+) states.These findings would lead to the appearance of two adjacent 4^(+) states,as a common feature,in the low-lying spectra of 4 boson systems.展开更多
An analysis of channel wave functions is made to clarify the types of resonance emerging from the Ps-Ps and Ps-Ps* collisions.The ordering of the energy levels of the states of the dipositronium is evaluated based on ...An analysis of channel wave functions is made to clarify the types of resonance emerging from the Ps-Ps and Ps-Ps* collisions.The ordering of the energy levels of the states of the dipositronium is evaluated based on the inherent nodal structures of wave functions and on the existing theoretical results.The existence of a few very probable low-lying narrower resonances,namely the 0^(+)_(1)(A_(2)),1^(-)_(1)(E),…,benefiting from the centrifugal barrier has been suggested.展开更多
The structure of the channel wave functions of 6Li is studied qualitatively.It is found that the widths of the low-lying resonances can be in general explained by using shell model wave functions.Nonetheless,the width...The structure of the channel wave functions of 6Li is studied qualitatively.It is found that the widths of the low-lying resonances can be in general explained by using shell model wave functions.Nonetheless,the width of the 3^(+) state is narrower than that anticipated by the shell modelf thus there is a room for the existence of other physical pictures to describe the very light nuclei.展开更多
A 60-boson system confined on a sphere has been qualitatively studied based on symmetry considerations. The low-lying spectrum is dominated by the ground rotation band based on the fullerene structure. In this band al...A 60-boson system confined on a sphere has been qualitatively studied based on symmetry considerations. The low-lying spectrum is dominated by the ground rotation band based on the fullerene structure. In this band all the L=1 to L=5 states are found to be prohibited by symmetry. Therefore, there is a large gap lying between the ground state and the first excited state. The magnitude of this gap, which is associated with the critical temperature of Bose-Einstein condensation, has been evaluated. It is found that, the smaller the radius of the sphere of confinement, the higher the critical temperature.展开更多
The wavefunctions are decomposed into components. The inherent nodal structure and the stability of these components are investigated. It is assumed that the low-lying states would be dominated by the components witho...The wavefunctions are decomposed into components. The inherent nodal structure and the stability of these components are investigated. It is assumed that the low-lying states would be dominated by the components without inherent nodal surfaces. Based on this assumption, the composition of the wave functions of the low-lying states of 5He has been suggested and the qualitative feature of the spectrum has been explained.展开更多
A 6-boson system has been qualitatively studied based on symmetry consideration. Emphasis is placed on the ground rotation band based on the octahedron structure. In this band the L = 1 , 2, and 3 states are found to ...A 6-boson system has been qualitatively studied based on symmetry consideration. Emphasis is placed on the ground rotation band based on the octahedron structure. In this band the L = 1 , 2, and 3 states are found to be prohibited by symmetry. Therefore there is a gap to hinder the rotational excitation of the ground state.展开更多
Symmetry has imposed very strong constraints on the internal structure of quantum mechanical system.In particular,whether a state can access a given outgoing channel is constrained by symmetry.For the dipositroniums,t...Symmetry has imposed very strong constraints on the internal structure of quantum mechanical system.In particular,whether a state can access a given outgoing channel is constrained by symmetry.For the dipositroniums,the most important channel is the Ps-Ps channel.However,based on symmetry consideration it was found that only a few excited states are allowed to access the Ps-Ps channel,thereby at least the existence of two higher L=0 bound states(higher than the Ps-Ps threshold)has been affirmed.展开更多
A complete set of quantum numbers for the eigenstates of the Na_(3)^(+) system has been introduced. The structure of the ground rotation band has been deduced based on symmetry considerations. This band is found to be...A complete set of quantum numbers for the eigenstates of the Na_(3)^(+) system has been introduced. The structure of the ground rotation band has been deduced based on symmetry considerations. This band is found to be different from that of H3^(+), though they are similar in dynamics.展开更多
Quantum mechanical systems are strongly constrained by symmetry.Consequently,inherent nodal surfaces are imposed on the wave functions.In this paper,the inherent nodal surfaces existing in the doubly-excited intrashel...Quantum mechanical systems are strongly constrained by symmetry.Consequently,inherent nodal surfaces are imposed on the wave functions.In this paper,the inherent nodal surfaces existing in the doubly-excited intrashell states of atoms have been investigated.The decisive effect of these surfaces on low-lying states has been demonstrated.The feature of the spectra has been explained.展开更多
The nodal structures of quantum states of three-body ABA systems composed of two identical fermions and another one with an opposite charge are investigated.We expand the wavefunction in the body frame and show that t...The nodal structures of quantum states of three-body ABA systems composed of two identical fermions and another one with an opposite charge are investigated.We expand the wavefunction in the body frame and show that the effect of symmetry such as rotation,space inversion,and permutation is to impose nodal surfaces on the components of the wavefunction.Based on the nodal surface,a classification of quantum states of ABA systems is presented.It is found that the quantum symmetry plays a crucial role in determing the energy levels and structures of the low-lying states.展开更多
The effect of a kind of nodal surfaces originated from the inherent symmetry on a 4-boson system has been investigated.It was found that these surfaces determine the accessibility of specific geometric structures.
The low-lying states of a spin-aligned 6-electron quantum dot may prefer the regular hexagon and regular centered pentagon structures.However,these favourable structures may be prohibited by inherent symmetry.Based on...The low-lying states of a spin-aligned 6-electron quantum dot may prefer the regular hexagon and regular centered pentagon structures.However,these favourable structures may be prohibited by inherent symmetry.Based on this consideration,a couple of equations are deduced.The solution of these equations gives exactly the magic numbers of the 6-electron dot.展开更多
Alpha-chain states in ^(12)C are studied via an analysis of underlying quantum mechanical symmetry.It is pointed out that the linear chain band exists undoubting in ^(12)C.However,the pure linear chain structure does ...Alpha-chain states in ^(12)C are studied via an analysis of underlying quantum mechanical symmetry.It is pointed out that the linear chain band exists undoubting in ^(12)C.However,the pure linear chain structure does not exist in ^(12)C.All possible linear chain states are mixture with triangle structures.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.19875084.
文摘Based on an analysis of the inherent nodal structures of wave functions of 4-boson systems,we found that the internal energy of the 4_(1)^(+) state should be lower because its structure can be optimized without suffering a strong constraint arising from symmetry(while other 1≤L≤3 states suffer from this kind of constraints).Furthermore,two superior structures favorable in binding are found to be allowed to be possessed by 4^(+) states.These findings would lead to the appearance of two adjacent 4^(+) states,as a common feature,in the low-lying spectra of 4 boson systems.
基金Supported by the National Natural Science Foundation of China under Grant No.19875084.
文摘An analysis of channel wave functions is made to clarify the types of resonance emerging from the Ps-Ps and Ps-Ps* collisions.The ordering of the energy levels of the states of the dipositronium is evaluated based on the inherent nodal structures of wave functions and on the existing theoretical results.The existence of a few very probable low-lying narrower resonances,namely the 0^(+)_(1)(A_(2)),1^(-)_(1)(E),…,benefiting from the centrifugal barrier has been suggested.
基金Supported by the National Natural Science Foundation of China under Grant No.19875084,and a fund from the National Educational Ministry of China.
文摘The structure of the channel wave functions of 6Li is studied qualitatively.It is found that the widths of the low-lying resonances can be in general explained by using shell model wave functions.Nonetheless,the width of the 3^(+) state is narrower than that anticipated by the shell modelf thus there is a room for the existence of other physical pictures to describe the very light nuclei.
基金Supported by the National Natural Science Foundation of China under Grant No.19875084.pput ry.mma。
文摘A 60-boson system confined on a sphere has been qualitatively studied based on symmetry considerations. The low-lying spectrum is dominated by the ground rotation band based on the fullerene structure. In this band all the L=1 to L=5 states are found to be prohibited by symmetry. Therefore, there is a large gap lying between the ground state and the first excited state. The magnitude of this gap, which is associated with the critical temperature of Bose-Einstein condensation, has been evaluated. It is found that, the smaller the radius of the sphere of confinement, the higher the critical temperature.
基金Supported by the National Natural Science Foundation of China under Grant No.19875084.
文摘The wavefunctions are decomposed into components. The inherent nodal structure and the stability of these components are investigated. It is assumed that the low-lying states would be dominated by the components without inherent nodal surfaces. Based on this assumption, the composition of the wave functions of the low-lying states of 5He has been suggested and the qualitative feature of the spectrum has been explained.
基金the National Natural Science Foundation of China under Grant No.19875084the Research Fund for the Doctoral Program of Higher Education.
文摘A 6-boson system has been qualitatively studied based on symmetry consideration. Emphasis is placed on the ground rotation band based on the octahedron structure. In this band the L = 1 , 2, and 3 states are found to be prohibited by symmetry. Therefore there is a gap to hinder the rotational excitation of the ground state.
基金Supported by the National Natural Science Foundation of China under Grant No.19875084the fund of National Educational Committee of China。
文摘Symmetry has imposed very strong constraints on the internal structure of quantum mechanical system.In particular,whether a state can access a given outgoing channel is constrained by symmetry.For the dipositroniums,the most important channel is the Ps-Ps channel.However,based on symmetry consideration it was found that only a few excited states are allowed to access the Ps-Ps channel,thereby at least the existence of two higher L=0 bound states(higher than the Ps-Ps threshold)has been affirmed.
基金the National Natural Science Foundation of China under Grant No.19875084.
文摘A complete set of quantum numbers for the eigenstates of the Na_(3)^(+) system has been introduced. The structure of the ground rotation band has been deduced based on symmetry considerations. This band is found to be different from that of H3^(+), though they are similar in dynamics.
基金Supported by the National Natural Science Foundation of China under Grant No.19875084.
文摘Quantum mechanical systems are strongly constrained by symmetry.Consequently,inherent nodal surfaces are imposed on the wave functions.In this paper,the inherent nodal surfaces existing in the doubly-excited intrashell states of atoms have been investigated.The decisive effect of these surfaces on low-lying states has been demonstrated.The feature of the spectra has been explained.
文摘The nodal structures of quantum states of three-body ABA systems composed of two identical fermions and another one with an opposite charge are investigated.We expand the wavefunction in the body frame and show that the effect of symmetry such as rotation,space inversion,and permutation is to impose nodal surfaces on the components of the wavefunction.Based on the nodal surface,a classification of quantum states of ABA systems is presented.It is found that the quantum symmetry plays a crucial role in determing the energy levels and structures of the low-lying states.
基金Supported by the National Natural Science Foundation of China.
文摘The effect of a kind of nodal surfaces originated from the inherent symmetry on a 4-boson system has been investigated.It was found that these surfaces determine the accessibility of specific geometric structures.
基金Supported by the National Natural Science Foundation of China under Grant No.19374073 and Grant No.19134020Guangdong Natural Science Foundation.
文摘The low-lying states of a spin-aligned 6-electron quantum dot may prefer the regular hexagon and regular centered pentagon structures.However,these favourable structures may be prohibited by inherent symmetry.Based on this consideration,a couple of equations are deduced.The solution of these equations gives exactly the magic numbers of the 6-electron dot.
基金Supported by the National Natural Science Foundation of China。
文摘Alpha-chain states in ^(12)C are studied via an analysis of underlying quantum mechanical symmetry.It is pointed out that the linear chain band exists undoubting in ^(12)C.However,the pure linear chain structure does not exist in ^(12)C.All possible linear chain states are mixture with triangle structures.
