منابع مشابه
The Hydrogen Atom with a Spinning Electron in Wave Mechanics.
of all substances, great fields of equilibria hitherto unsuspected, in which the individual states differ from one another with respect to the new variable, the number of photons. If such a necessity arises and the law of conservation of photons can be established, it may be necessary to revise still further our ideas of thermal radiation, for in that case it would be doubtful whether what is k...
متن کاملCoherent states for the hydrogen atom : discrete and continuous spectra
We construct the systems of generalised coherent states for the discrete and continuous spectra of the hydrogen atom. These systems are expressed in elementary functions and are invariant under the SO(3, 2) (discrete spectrum) and SO(4, 1) (continuous spectrum) subgroups of the dynamical symmetry group SO(4, 2) of the hydrogen atom. Both systems of coherent states are particular cases of the ke...
متن کاملEnergy Levels of "Hydrogen Atom" in Discrete Time Dynamics
We analyze dynamical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. In particular we study the problem of discrete energy levels of hydrogen atom. We are able to reconstruct potential which in discrete time formalism leads to energy levels of unperturbed hydrogen atom. We also consider linear energy levels of quantum harmonic oscillator and show how th...
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 کاملThe 2-dimensional hydrogen atom
In these notes we investigate a particular partial differential equation arising from the quantum mechanical description of a hydrogen atom. For simplicity we consider the atom in a 2-dimensional instead of a 3-dimensional universe. For convenience we put all fundamental constants of nature equal to 1. The problem. In quantum mechanics the electron is described by a so called wave function. A w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1986
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.83.16.5753