Classical-to-Quantum Transition in a Super-Intense Laser and Field Quantization

Abstract

The transition from a high-intensity laser passing from a Gaussian shape to one exhibiting Bessel profile, is presented. A semiclassical procedure by which external fields has not been quantized, was opted. The role of completeness relations commonly used in quantum mechanics, was harnessed. Transition from one to another shape has been identified as a multiple convolution of various profiles. Once main equations of this theoretical proposal are derived, a kind of energy quantization has been observed. This has suggested that would exist a kind of classical-to-quantum transition in superintense laser. The resulting energies of proposed model have been compared in a direct manner to quantum harmonic oscillator in order to observe any noteworthy discrepancy.