ec 2 00 2 On the Equation H = mv 2 and the Fine Structure of the Hydrogen Atom
نویسنده
چکیده
The recently introduced[1] reconciliation of the theories of special relativity and wave mechanics implies that the mass-energy equivalence principle must be expressed mathematically as H = mv, where H is the total energy of a particle, m is its relativistic mass, and v is its velocity; not H = mc as was widely believed. In this paper, the equation H = mv will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the wellknown Sommerfeld-Dirac formula is still obtained, but without the constant term m0c 2 that was originally present in the formula.
منابع مشابه
Comparison of metal additives and Boron atom on MgH2 absorbing-desorbing characteristics using calculated NQCCs
Using ab initio calculations, the hydrogen desorption from Magnesium hydride (MgH2) was studied. We presented the calculated nuclear quadrupole coupling constants (NQCCs) of hydrogen atom in various systems of MgH2. The effect of interactions of some metal atoms as well as Boron atom with MgH2 host matrix; (MgH2+M) nanostructures (M=Al, Ti, V, Fe, Ni ...
متن کاملComparison of metal additives and Boron atom on MgH2 absorbing-desorbing characteristics using calculated NQCCs
Using ab initio calculations, the hydrogen desorption from Magnesium hydride (MgH2) was studied. We presented the calculated nuclear quadrupole coupling constants (NQCCs) of hydrogen atom in various systems of MgH2. The effect of interactions of some metal atoms as well as Boron atom with MgH2 host matrix; (MgH2+M) nanostructures (M=Al, Ti, V, Fe, Ni ...
متن کاملStructure of the Hydrogen Atom
It was demonstrated recently[1] that the correct mathematical expression for the total energy H of a particle is H = mv, where m is the relativistic mass and v is the velocity; not H = mc as was widely believed. In this paper, the equation H = mv will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the well-known Sommerfeld-Dirac formula is s...
متن کامل. ge n - ph ] 5 A ug 2 00 4 The novel aspect of hydrogen atom : the fine structure and spin can be derived by single component wavefunction
The fine structure of hydrogen energy was calculated by using the usual momentum-wavefunction relation directly, rather than establishing the well-known Dirac wave equation. As the results, the energy levels are completely the same as that of the Dirac wave equation, while the wavefunction is single component that is quite different from Dirac's four component wavefunction, the most important t...
متن کاملNumerical study of the radial Schrodinger Equation for Hydrogen atom using Legendre wavelet
This paper deals with the Legendre wavelet (LW) collocation method for the numerical solution of the radial Schrodinger equation for hydrogen atom. Energy eigenvalues for the hydrogen bound system is derived -13.6 eV. Numerical results of the ground state modes of wave function for the hydrogen R(r) or the electron probability density function, has been presented. The numerical results ha...
متن کامل