TITLE:
The Strange Relationship between the Momentum of a Photon Emitted from an Electron and the Momentum Acquired by the Electron
AUTHORS:
Koshun Suto
KEYWORDS:
Einstein’s Energy-Momentum Relationship, Energy-Momentum Relationship in a Hydrogen Atom, Momentum of a Photon, Momentum of a Electron, Negative Energy Specific to the Electron, Dark Matter
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.7,
July
30,
2024
ABSTRACT: In quantum mechanics, the energy of a hydrogen atom is minimized when the principal quantum number n is 1. However, the author has previously pointed out that the hydrogen atom has a state where
n=0
. An electron in the state where
n=0
has zero rest mass energy. However, a hydrogen atom has an energy level even lower than the
n=0
state. This is hard to accept from the standpoint of common sense. Thus, the author has previously pointed out that an electron at the energy level where
n=0
has zero energy because the positive energy
m
e
c
2
and negative energy
−
m
e
c
2
cancel each other out. This paper elucidates the strange relationship between the momentum of a photon emitted when a hydrogen atom is formed by an electron with such characteristics, and the momentum acquired by the electron.