Further Difficulties with the Klein-Gordon Equation
| Scientific Paper | |
|---|---|
| Title | Further Difficulties with the Klein-Gordon Equation |
| Read in full | Link to paper |
| Author(s) | E Comay |
| Keywords | Relativistic Quantum Mechanics, Dirac Equation, Klein-Gordon Equation, Hamiltonian |
| Published | 2005 |
| Journal | Apeiron |
| Volume | 12 |
| Number | 1 |
| No. of pages | 21 |
Read the full paper here
Abstract
Herein, the Dirac equation is compared with the Klein-Gordon equation. In contrast to the Dirac case, it is proved that the Klein-Gordon equation has di?culties with the Hamiltonian di?erential operator of relativistic quantum mechanics and with the de?nition of an inner product of wave functions, which is a requirement for a construction of a Hilbert space. An added discussion of the Pauli-Weisskopf article and that of Feshbach-Villars proves that their theories lack a self-consistent expression for the Hamiltonian. Related di?culties are pointed out.