Difference between revisions of "Further Difficulties with the Klein-Gordon Equation"
Jump to navigation
Jump to search
(Imported from text file) |
(Imported from text file) |
||
Line 17: | Line 17: | ||
<span style="font-size: x-small; font-family: CMR10;"><span style="font-size: x-small; font-family: CMR10;"> 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. | <span style="font-size: x-small; font-family: CMR10;"><span style="font-size: x-small; font-family: CMR10;"> 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. | ||
− | </span></span>[[Category:Scientific Paper]] | + | </span></span> |
+ | |||
+ | [[Category:Scientific Paper|difficulties klein-gordon equation]] | ||
[[Category:Relativity]] | [[Category:Relativity]] |
Revision as of 10:27, 1 January 2017
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.