Modification of Constants in the Schrödinger Equation Giving Access to Neutrino Behavior  

作　　者：Amaury de Kertanguy Amaury de Kertanguy(Retired Astronomer, Paris, France)

机构地区：[1]Retired Astronomer, Paris, France

出　　处：《Journal of Applied Mathematics and Physics》2024年第11期3860-3868,共9页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Schrödinger Equation Planck Constant Particle Physics Neutrino Physics 

分 类 号：O17[理学—数学]