Author(s)

Koshun Suto

Chudai-Ji Temple, Isesaki, Japan.

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.

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

Suto, K. (2024) The Strange Relationship between the Momentum of a Photon Emitted from an Electron and the Momentum Acquired by the Electron. Journal of Applied Mathematics and Physics, 12, 2652-2664. doi: 10.4236/jamp.2024.127157.