Further Difficulties with the Klein-Gordon Equation
|Title||Further Difficulties with the Klein-Gordon Equation|
|Read in full||Link to paper|
|Keywords||Relativistic Quantum Mechanics, Dirac Equation, Klein-Gordon Equation, Hamiltonian|
|No. of pages||21|
Read the full paper here
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.