How Classical, Quantum-Mechanical, and Relativistic Wave and Field Equations Are Uniformly Generated by Velocity-Field Divergence Equations
How Classical, Quantum-Mechanical, and Relativistic Wave and Field Equations Are Uniformly Generated by Velocity-Field Divergence Equations
摘要
We expand previously established results concerning the uniform representability of classical and relativistic gravitational field equations by means of velocity-field divergence equations by demonstrating that conservation equations for (probability) density functions give rise to velocity-field divergence equations the solutions of which generate—by way of superposition—the totality of solutions of various well-known classical and quantum-mechanical wave equations.
We expand previously established results concerning the uniform representability of classical and relativistic gravitational field equations by means of velocity-field divergence equations by demonstrating that conservation equations for (probability) density functions give rise to velocity-field divergence equations the solutions of which generate—by way of superposition—the totality of solutions of various well-known classical and quantum-mechanical wave equations.
作者
Frank Blume
Frank Blume(Department of Mathematics, John Brown University, Siloam Springs, USA)
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1Valery V. Vasiliev,Leonid V. Fedorov.Spherically Symmetric Problem of General Relativity for an Elastic Solid Sphere[J].Journal of Modern Physics,2023,14(6):818-832.
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2Chao Zhang,Youzhi Liu,Weizhou Jiao,Hongyan Shen,Xigang Yuan,Shengkun Jia.An optimization method for enhancement of gas–liquid mass transfer in a bubble column reactor based on the entropy generation extremum principle[J].Chinese Journal of Chemical Engineering,2023,53(1):83-88.
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3Xiang Li,Dong-Jun Ma,Nan-Sheng Liu,Pei Wang.A Compact Eulerian Interface-Capturing Algorithm for Compressible Multimaterial Elastic-Plastic Flows with Mie-Gr uneisen Equation of State[J].Advances in Applied Mathematics and Mechanics,2023,15(2):485-521.
