TITLE:
Bohr’s Spectrum of Quantum States in the Atomic Hydrogen Deduced from the Uncertainty Principle for Energy and Time
AUTHORS:
Stanisław Olszewski
KEYWORDS:
Uncertainty Principle for Energy and Time, Bohr’s Spectrum of Quantum levels in the Hydrogen Atom
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.14,
August
22,
2014
ABSTRACT: A
modified uncertainty principle coupling the intervals of energy and time can
lead to the shortest distance attained in course of the excitation process, as
well as the shortest possible time interval for that process. These lower
bounds are much similar to the interval limits deduced on both the experimental
and theoretical footing in the era when the Heisenberg uncertainty principle
has been developed. In effect of the bounds existence, a maximal nuclear charge Ze acceptable for the Bohr atomic ion
could be calculated. In the next step the velocity of electron transitions
between the Bohr orbits is found to be close to the speed of light. This result
provides us with the energy spectrum of transitions similar to that obtained in
the Bohr’s model. A momentary force acting on the electrons in course of their
transitions is estimated to be by many orders larger than a steady
electrostatic force existent between the atomic electron and the nucleus.