本文用无波函数微扰论(Perturbation theory Without wavefunction)计算了以U_c(γ)=1/2kγ~2+λ_1γ~4+λ_2γ~6+C为囚禁势的重夸克偶素能谱,选取适当的势参数时,粲偶素族和底偶素族的计算值与实验结果相符合,同时还利用计算能谱时所...本文用无波函数微扰论(Perturbation theory Without wavefunction)计算了以U_c(γ)=1/2kγ~2+λ_1γ~4+λ_2γ~6+C为囚禁势的重夸克偶素能谱,选取适当的势参数时,粲偶素族和底偶素族的计算值与实验结果相符合,同时还利用计算能谱时所选取的势参数算出了与各能级相对应的平均半径,<γ~2>及<γ~4>等值。展开更多
We report in this paper the ground-state energy 2s^(2)^(1)S and total energies of doubly excited states 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I of the Helium isoelectronic sequence from H-to Ca^(18+).Calculations are perf...We report in this paper the ground-state energy 2s^(2)^(1)S and total energies of doubly excited states 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I of the Helium isoelectronic sequence from H-to Ca^(18+).Calculations are performed using the Modified Atomic Orbital Theory(MAOT)in the framework of a variational procedure.The purpose of this study required a mathematical development of the Hamiltonian applied to Slater-type wave function[1]combining with Hylleraas-type wave function[2].The study leads to analytical expressions which are carried out under special MAXIMA computational program.This first proposed MAOT variational procedure,leads to accurate results in good agreement as well as with available other theoretical results than experimental data.In the present work,a new correlated wave function is presented to express analytically the total energies for the 2s21S ground state and each doubly 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I excited states in the He-like systems.The present accurate data may be a useful guideline for future experimental and theoretical studies in the(nI^(2))systems.展开更多
This study discusses the information space, the wave function phase, the Berry phase and its relationship to quantization, discriminability of states and macroscopic quantum effects caused by localization of the parti...This study discusses the information space, the wave function phase, the Berry phase and its relationship to quantization, discriminability of states and macroscopic quantum effects caused by localization of the particle, followed by a possible entropy change during its transition into a new thermodynamic state. This work addresses interference： it is the information waves which interfere; the particles follow their roadmap, and the measurement of their coordinates introduces an additional uncertainty into the momentum. It is not particles （matter） which manifest these wave properties but fluctuations of the physical space-time coordinates. Physical characteristics corresponding to the fluctuating variables, energy, momentum, etc., determine the magnitude of the respective fluctuations rather than the wave properties of matter. Matter possesses no wave properties. This work also discusses the difference between the objective information and knowledge.展开更多
The Copenhagen interpretation is the most authorized interpretation of quantum mechanics, but there are a number of ideas that are associated with the Copenhagen interpretation. It is ceratin that this fact is not nec...The Copenhagen interpretation is the most authorized interpretation of quantum mechanics, but there are a number of ideas that are associated with the Copenhagen interpretation. It is ceratin that this fact is not necessarily desirable. Thus, we propose a new interpretation of measurement theory, which is the linguistic aspect (or, the mathematical generalization) of quantum mechanics. Although this interpretation is superficially similar to a part of so-called Copenhagen interpretation, we show that it has a merit to be applicable to both quantum and classical systems. For example, we say that Bell’s inequality is broken even in classical systems.展开更多
基金the National Natural Science Foundation of China，the Fundamental Research Funds for the Central Universities，the Open Project of Beijing National Laboratory for Molecular Sciences，the Program for Innovative Research Team of Guizhou Province of China，the University Development Fund of Guizhou Province，the Talent Special Fund of Guizhou Province
文摘本文用无波函数微扰论(Perturbation theory Without wavefunction)计算了以U_c(γ)=1/2kγ~2+λ_1γ~4+λ_2γ~6+C为囚禁势的重夸克偶素能谱,选取适当的势参数时,粲偶素族和底偶素族的计算值与实验结果相符合,同时还利用计算能谱时所选取的势参数算出了与各能级相对应的平均半径,<γ~2>及<γ~4>等值。
文摘We report in this paper the ground-state energy 2s^(2)^(1)S and total energies of doubly excited states 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I of the Helium isoelectronic sequence from H-to Ca^(18+).Calculations are performed using the Modified Atomic Orbital Theory(MAOT)in the framework of a variational procedure.The purpose of this study required a mathematical development of the Hamiltonian applied to Slater-type wave function[1]combining with Hylleraas-type wave function[2].The study leads to analytical expressions which are carried out under special MAXIMA computational program.This first proposed MAOT variational procedure,leads to accurate results in good agreement as well as with available other theoretical results than experimental data.In the present work,a new correlated wave function is presented to express analytically the total energies for the 2s21S ground state and each doubly 2p^(2)^(1)D,3d^(2)^(1)D,4f^(2)^(1)I excited states in the He-like systems.The present accurate data may be a useful guideline for future experimental and theoretical studies in the(nI^(2))systems.
文摘This study discusses the information space, the wave function phase, the Berry phase and its relationship to quantization, discriminability of states and macroscopic quantum effects caused by localization of the particle, followed by a possible entropy change during its transition into a new thermodynamic state. This work addresses interference： it is the information waves which interfere; the particles follow their roadmap, and the measurement of their coordinates introduces an additional uncertainty into the momentum. It is not particles （matter） which manifest these wave properties but fluctuations of the physical space-time coordinates. Physical characteristics corresponding to the fluctuating variables, energy, momentum, etc., determine the magnitude of the respective fluctuations rather than the wave properties of matter. Matter possesses no wave properties. This work also discusses the difference between the objective information and knowledge.
文摘The Copenhagen interpretation is the most authorized interpretation of quantum mechanics, but there are a number of ideas that are associated with the Copenhagen interpretation. It is ceratin that this fact is not necessarily desirable. Thus, we propose a new interpretation of measurement theory, which is the linguistic aspect (or, the mathematical generalization) of quantum mechanics. Although this interpretation is superficially similar to a part of so-called Copenhagen interpretation, we show that it has a merit to be applicable to both quantum and classical systems. For example, we say that Bell’s inequality is broken even in classical systems.
