A Theory of Quantum Jumps and Its Applications to Lyman and Balmer Series

A theory of quantum jumps is developed by using a new asymmetric equation, which is complementary to the Schrödinger equation. The new equation displays Bohr’s rules for quantum jumps, and its solutions demonstrate that once a quantum jump takes place at a random time, then its evolution is continuous and coherent. The temporal solutions are used to determine time-scales of the quantum jumps, which are very short but finite. The spatial solutions are used to find the radial probability density of finding the electron after its jump. The obtained results are applied to the Lyman and Balmer series absorption, and their experimental verification is discussed.