The paper deals with a study of the Schrödinger equation with an original approach. Recalling the well-known relation: p→iℏΔr. It considers this equation for which the kinetic factor is EKin=p22M=−ℏ22MΔr2. Mak...The paper deals with a study of the Schrödinger equation with an original approach. Recalling the well-known relation: p→iℏΔr. It considers this equation for which the kinetic factor is EKin=p22M=−ℏ22MΔr2. Making the kinetic factor EKin=−Δr2can be obtained if one defines a mass M=ℏ22, very small and close to the accepted mass of a neutrino νe. The Schrödinger equation reduces to: −Δr2ϕ(r)=Eϕ(r). The energy E is that given by Dirac (1927), (c being the light velocity), with his remark that two solutions exist E=±p2c2+M2c4. The body of this paper shows all solutions obtained when solving the simplified Schrödinger equation.展开更多
Every four years the Committee on Data for Science and Technology (CODATA) supplies a self-consistent set of values of the basic constants and conversion factors of physics recommended for international use. In 2013, ...Every four years the Committee on Data for Science and Technology (CODATA) supplies a self-consistent set of values of the basic constants and conversion factors of physics recommended for international use. In 2013, the World-Universe Model (WUM) proposed a principally different depiction of the World as an alternative to the picture of the Big Bang Model. This article: 1) Gives the short history of Classical Physics before Special Relativity;2) Calculates Fundamental Physical Constants based on experimentally measured Rydberg constant, Electrodynamic constant, Electron Charge-to-Mass Ratio, and Planck constant;3) Discusses Electrodynamic constant and Speed of Light;4) Considers Dimensionless Fundamental Parameters (Dirac Large Number Q and Dimensionless Rydberg Constant α);5) Calculates Newtonian Constant of Gravitation based on the Inter-connectivity of Primary Physical Parameters;6) Makes a detailed analysis of the Self-consistency of Fundamental Physical Constants and Primary Physical Parameters through the prism of WUM. The performed analysis suggests: 1) Discontinuing using the notion “Vacuum” and its characteristics (Speed of Light in Vacuum, Characteristic Impedance of Vacuum, Vacuum Magnetic Permeability, Vacuum Electric Permittivity);2) Accepting the exact numerical values of Electrodynamic constant, Planck constant, Elementary charge, and Dimensionless Rydberg Constant α. WUM recommends the predicted value of Newtonian Constant of Gravitation in 2018 to be considered in CODATA Recommend Values of the Fundamental Physical Constants 2022.展开更多
In this paper,we discuss the mathematical relation determined by the basic physical constant between three types of quarks and the masses of leptons with charges in detail.First,by further theoretical analysis,we wond...In this paper,we discuss the mathematical relation determined by the basic physical constant between three types of quarks and the masses of leptons with charges in detail.First,by further theoretical analysis,we wonderfully see that the result got from the mass empirical formula of quark and charged lepton is identical with the data received by theoretical estimating from the gauge field theory.Second,we also gladly see that the result got from quark and lepton(with charges)mass empirical formula is completely accordant with experiment data.These mass formulas reveal the essential relation between me,mμ,mτ and mq.At the same time,the empirical formula may also derive the mass formula of neu-trinos.As to the mass of neutrinos,at present we only know the square difference of its mass,and so this is meaningful to theoretically estimating the mass.展开更多
This paper discovers the secret codes of the scale distribution from Planck scale to the Sun-scale by using Planck length derived from three fundamental physics constants, i.e., gravitation constant G, light speed c a...This paper discovers the secret codes of the scale distribution from Planck scale to the Sun-scale by using Planck length derived from three fundamental physics constants, i.e., gravitation constant G, light speed c and Plank constant, and starting from the global consideration of treating the whole universe as a well unified entity in all scales. According to this symmetric scale distribution law of different scale regions: (a) we naturally give a possibility overcoming the difficulty of the desert effect between the grand unification scale and electroweak unification scale relevant to quarks and leptons, and it is really surprising to discover that the scales of quarks & electrons, protons & neutrons and atoms again all sequentially locate at the predicted points of the scale space;(b) we closely uncover the scale of the cells, which is the basic unit constructing the human bodies;(c) even the average height of human being is naturally deduced;(d) further, it is very surprising that the scales of the celestial bodies tightly related to us human beings, including the earth and the sun, also exactly fall at the predicted points in scale space in order. Therefore, all these scales with 105n cm order (n = 0, 1, 2, …, 9) above just give a proof of very key anthropic principle for whole mankind (which just makes the anthropic principle be reduced as anthropic theorem), i.e., matter stratums (a) and (b) are inorganic and organic bases of constructing human being respectively;matter stratum (c) is just human being;matter stratums (d) are the living environments of human being. Namely, everything is for or relevant to the existence of human being. Consequently, the experimentally checked scale ladder of well-known matter levels just coincides with the scale ladder predicted by the deduced distribution law. From Planck scale to the Sun scale, people may systematically build up the exact scientific theories corresponding ten matter stratums, may set up the different sciences among the different cross stratums, further, 展开更多
We give a direct method for calculating the quark-number susceptibility at finite chemical potential and zero temperature. In this approach the quark-number susceptibility is totally determined by G[μ]（p） （the dre...We give a direct method for calculating the quark-number susceptibility at finite chemical potential and zero temperature. In this approach the quark-number susceptibility is totally determined by G[μ]（p） （the dressed quark propagator at finite chemical potential μ）. By applying the general result in our previous study [Phys. Rev. C 71 （2005） 015205, 034901, 73 （2006） 016004 ] G[μ]（p） is calculated from the model quark propagator proposed by Pagels and Stokar [Phys. Rev. D 20 （1979） 2947]. The full analytic expression of the quark-number susceptibility at finite μ and zero T is obtained.展开更多
In this paper,we examine some principles in managing manufacturing systems.These principles are concerned with the variability,the utilization,the rework,the lead time,and the constant work-in-process efficiency.Whil...In this paper,we examine some principles in managing manufacturing systems.These principles are concerned with the variability,the utilization,the rework,the lead time,and the constant work-in-process efficiency.While these principles are developed through analyzing some simpler disconnected flow line manufacturing systems,we examine whether they can have broad applications.For some of these principles,we provide sufficient conditions,while for others,we provide counterexamples.Our analysis suggests that we should be very cautious about these laws when applied to non-Markov and non-tandem systems.展开更多
Starting with a very basic statement that any physical constants cannot be written with an infinite precision, it is shown how to introduce this uncertainty into the Hamiltonian of non-relativistic atomic (NR) physics...Starting with a very basic statement that any physical constants cannot be written with an infinite precision, it is shown how to introduce this uncertainty into the Hamiltonian of non-relativistic atomic (NR) physics and how to estimate errors on quantum operators (energy, frequency, momenta) when an uncertainty is assigned to . The Schrödinger equation is written and the kinetic energy term is transformed into a Laplacian: . This transformation leads (as known since 1926) to the wave equation, whose solutions are wave functions. The relativity correction to the kinetic energy term is introduced and its effect is discussed. (h constant has an uncertainty value taken from CODATA.)展开更多
文摘The paper deals with a study of the Schrödinger equation with an original approach. Recalling the well-known relation: p→iℏΔr. It considers this equation for which the kinetic factor is EKin=p22M=−ℏ22MΔr2. Making the kinetic factor EKin=−Δr2can be obtained if one defines a mass M=ℏ22, very small and close to the accepted mass of a neutrino νe. The Schrödinger equation reduces to: −Δr2ϕ(r)=Eϕ(r). The energy E is that given by Dirac (1927), (c being the light velocity), with his remark that two solutions exist E=±p2c2+M2c4. The body of this paper shows all solutions obtained when solving the simplified Schrödinger equation.
文摘Every four years the Committee on Data for Science and Technology (CODATA) supplies a self-consistent set of values of the basic constants and conversion factors of physics recommended for international use. In 2013, the World-Universe Model (WUM) proposed a principally different depiction of the World as an alternative to the picture of the Big Bang Model. This article: 1) Gives the short history of Classical Physics before Special Relativity;2) Calculates Fundamental Physical Constants based on experimentally measured Rydberg constant, Electrodynamic constant, Electron Charge-to-Mass Ratio, and Planck constant;3) Discusses Electrodynamic constant and Speed of Light;4) Considers Dimensionless Fundamental Parameters (Dirac Large Number Q and Dimensionless Rydberg Constant α);5) Calculates Newtonian Constant of Gravitation based on the Inter-connectivity of Primary Physical Parameters;6) Makes a detailed analysis of the Self-consistency of Fundamental Physical Constants and Primary Physical Parameters through the prism of WUM. The performed analysis suggests: 1) Discontinuing using the notion “Vacuum” and its characteristics (Speed of Light in Vacuum, Characteristic Impedance of Vacuum, Vacuum Magnetic Permeability, Vacuum Electric Permittivity);2) Accepting the exact numerical values of Electrodynamic constant, Planck constant, Elementary charge, and Dimensionless Rydberg Constant α. WUM recommends the predicted value of Newtonian Constant of Gravitation in 2018 to be considered in CODATA Recommend Values of the Fundamental Physical Constants 2022.
基金the State Key Basic Research Project(973Project)of China(Grant No.2006CB605102)the National Natural Science Foundation of China(Grant No.90306016)
文摘In this paper,we discuss the mathematical relation determined by the basic physical constant between three types of quarks and the masses of leptons with charges in detail.First,by further theoretical analysis,we wonderfully see that the result got from the mass empirical formula of quark and charged lepton is identical with the data received by theoretical estimating from the gauge field theory.Second,we also gladly see that the result got from quark and lepton(with charges)mass empirical formula is completely accordant with experiment data.These mass formulas reveal the essential relation between me,mμ,mτ and mq.At the same time,the empirical formula may also derive the mass formula of neu-trinos.As to the mass of neutrinos,at present we only know the square difference of its mass,and so this is meaningful to theoretically estimating the mass.
文摘This paper discovers the secret codes of the scale distribution from Planck scale to the Sun-scale by using Planck length derived from three fundamental physics constants, i.e., gravitation constant G, light speed c and Plank constant, and starting from the global consideration of treating the whole universe as a well unified entity in all scales. According to this symmetric scale distribution law of different scale regions: (a) we naturally give a possibility overcoming the difficulty of the desert effect between the grand unification scale and electroweak unification scale relevant to quarks and leptons, and it is really surprising to discover that the scales of quarks & electrons, protons & neutrons and atoms again all sequentially locate at the predicted points of the scale space;(b) we closely uncover the scale of the cells, which is the basic unit constructing the human bodies;(c) even the average height of human being is naturally deduced;(d) further, it is very surprising that the scales of the celestial bodies tightly related to us human beings, including the earth and the sun, also exactly fall at the predicted points in scale space in order. Therefore, all these scales with 105n cm order (n = 0, 1, 2, …, 9) above just give a proof of very key anthropic principle for whole mankind (which just makes the anthropic principle be reduced as anthropic theorem), i.e., matter stratums (a) and (b) are inorganic and organic bases of constructing human being respectively;matter stratum (c) is just human being;matter stratums (d) are the living environments of human being. Namely, everything is for or relevant to the existence of human being. Consequently, the experimentally checked scale ladder of well-known matter levels just coincides with the scale ladder predicted by the deduced distribution law. From Planck scale to the Sun scale, people may systematically build up the exact scientific theories corresponding ten matter stratums, may set up the different sciences among the different cross stratums, further,
基金Supported in part by the National Natural Science Foundation of China under Grant No 10575050, and the Research Fund for the Doctoral Programme of Higher Education in China under Grant No 20060284020.
文摘We give a direct method for calculating the quark-number susceptibility at finite chemical potential and zero temperature. In this approach the quark-number susceptibility is totally determined by G[μ]（p） （the dressed quark propagator at finite chemical potential μ）. By applying the general result in our previous study [Phys. Rev. C 71 （2005） 015205, 034901, 73 （2006） 016004 ] G[μ]（p） is calculated from the model quark propagator proposed by Pagels and Stokar [Phys. Rev. D 20 （1979） 2947]. The full analytic expression of the quark-number susceptibility at finite μ and zero T is obtained.
基金the Natural Science and Engineering Research Council of Canada,the National Natural Science Foundation of China(No.71271131)the Academic Research Fund and the E-Business Center of National University of Singapore,and the Central Research Grant of Hong Kong Polytechnic University(G-YN82).
文摘In this paper,we examine some principles in managing manufacturing systems.These principles are concerned with the variability,the utilization,the rework,the lead time,and the constant work-in-process efficiency.While these principles are developed through analyzing some simpler disconnected flow line manufacturing systems,we examine whether they can have broad applications.For some of these principles,we provide sufficient conditions,while for others,we provide counterexamples.Our analysis suggests that we should be very cautious about these laws when applied to non-Markov and non-tandem systems.
文摘Starting with a very basic statement that any physical constants cannot be written with an infinite precision, it is shown how to introduce this uncertainty into the Hamiltonian of non-relativistic atomic (NR) physics and how to estimate errors on quantum operators (energy, frequency, momenta) when an uncertainty is assigned to . The Schrödinger equation is written and the kinetic energy term is transformed into a Laplacian: . This transformation leads (as known since 1926) to the wave equation, whose solutions are wave functions. The relativity correction to the kinetic energy term is introduced and its effect is discussed. (h constant has an uncertainty value taken from CODATA.)
