Quantization Rule for Relativistic Klein-Gordon Equation

Autor: Hosung Sun
Rok vydání: 2011
Předmět:
Zdroj: Bulletin of the Korean Chemical Society. 32:4233-4238
ISSN: 0253-2964
DOI: 10.5012/bkcs.2011.32.12.4233
Popis: Based on the exact quantization rule for the nonrelativistic Schrodinger equation, the exact quantization rule for the relativistic one-dimensional Klein-Gordon equation is suggested. Using the new quantization rule, the exact relativistic energies for exactly solvable potentials, e.g. harmonic oscillator, Morse, and Rosen-Morse II type potentials, are obtained. Consequently the new quantization rule is found to be exact for one-dimensional spinless relativistic quantum systems. Though the physical meanings of the new quantization rule have not been fully understood yet, the present formal derivation scheme may shed light on understanding relativistic quantum systems more deeply.
Databáze: OpenAIRE