in this paper energy bands and berry curvature of graphene was studied. desired hamiltonian regarding the next-nearest neighbors obtained by tight binding model. by using the second quantization approach, the transformation matrix is calculated and the hamiltonian of system is diagonalized. with this hamiltonian, the band structure and wave function can be calculated. by using calculated wave f...

This work addresses the general procedure of quantization also known as Berezin-Klauder-Toeplitz quantization, or coherent state (CS) (anti-Wick) quantization. The method is first illustrated by motion a particle on circle. Then, we take second example, set generalized photon-added states related to associated hypergeometric functions. nonclassical behaviour this investigated.

Canonical quantization has taught us great things. A common example is that of the harmonic oscillator, which like swinging a ball on string back and forth. However, half-harmonic oscillator blocks at bottom then it quickly bounces backwards. This second model cannot be correctly solved using canonical quantization. Now, there an expansion quantization, called affine can solve offers correct so...