Quantum Model of Quasi-Free Electrons in Crystals

2 Quantum Model of Quasi-Free Electrons in Crystals 

A more realistic model of the quantum crystal is here derived from the reconsideration of Schrodinger equations, (3.55) and (3.57), in the presence of a periodic potential with the periodicity of the lattice, say the uni-directional lattice with a-period, which in reciprocal lattice of wave vectors means lic/a periodicity. 

Quantum Nanochemistry—Volume IV Quantum Solids and Orderability 

A periodical potential S5nnmetrically respecting x=0 that acts towards the electrons that evolve in both the directions in any periodical interval of reciprocal lattice, see (Further Readings on Quantum Solid 1936-1967), assumes the form  

The model of fiee movement (in the absence of nuclei potential or in effectively zero nuclei potential) is thus improved, but here arise another problem does the potential (3.74) introducing also the re-consideration of eigen-fiinctions (3.61) for the free movement Therefore, should again the Schrodinger equations (3.55) and (3.57) be solved in the absence of potential (3.74) Not necessarily  

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S.4.2.2 Quantum Model of Quasi-Free Electrons in Crystals... 

FIGURE 3.16 Energetic discretization at the frontier of the first Brillouin zone in the quantum model of quasi-free electrons in crystal after (Further Readings on Quantum Solid 1936-1967 Putz,2006). 

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