Bohr’s model of H-atom is a solution of Schrödinger’s equation
Аннотация
It is shortly demonstrated that stability condition of quaternion algebra under confor-mal stretching of underlying the algebra spinor surface written in physical units becomes precise-ly Schrödinger equation of quantum mechanics. When separated into real and imaginary parts the equation converts into system of “universal” equations of mechanics still evidently equiva-lent to Schrödinger equation but as well having all features of Hamilton-Jacobi equation of clas-sical mechanics. Famous hydrogen atom model is analyzed as the “universal” equations solution; the analysis shows that an alternative stationary solution exists describing Bohr-type model of hydrogen atom requiring no quantum postulates.
Keywords: spinor surface, quaternions, quantum mechanics, Schrödinger equations, Bohr’s model of hydrogen atom.
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