A.P.Yefremov, "Bohr-Schrodinger "Hydrogen Truce"", Quantum matter, Vol. 3, No. 6, December 2014, pp. 510-514(5)
It is shortly demonstrated that stability condition of quaternion algebra under conformal stretching of underlying the algebra spinor surface written in physical units becomes precisely Schrodinger equation of quantum mechanics. When separated into real and imaginary parts the equation converts into system of "universal" equations of mechanics still evidently equivalent to Schrodinger equation but as well having all features of Hamilton-Jacobi equation of classical 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: Bohr's Model Of Hydrogen Atom; Quantum Mechanics; Quaternions; Schrodinger Equations;Spinor Surface
DOI: http://dx.doi.org/10.1166/qm.2014.1155
Publication date: 01-12-2014