Structure of the Atom

2021 ◽  
pp. 64-80
Author(s):  
Christopher O. Oriakhi

Structure of the Atom describes the quantum-mechanical model of the atom, which explains the fundamental nature of energy and matter, in terms of how electrons are arranged within atoms and how that arrangement determines the ultimate chemical and physical properties of elements. A discussion of atomic spectra, the Bohr model of the hydrogen atom, and the quantum numbers of an atomic orbital is provided. Other topics include the determination of quantum numbers from energy levels, the shapes of atomic orbitals, electron filling order, and the determination of the complete electron configuration of the elements.

2007 ◽  
Vol 22 (18) ◽  
pp. 1349-1358 ◽  
Author(s):  
J. SADEGHI ◽  
A. MOHAMMADI

In this paper, we identify the deeper structure that produces shape invariance. We show that shape invariance appears when a quantum mechanical model is invariant under a centrally extended superalgebra. Also we show that in Φ4 and sine–Gordon theories, shape invariance arises from the Bogomol'nyi–Prasad–Sommerfeld (BPS) structure associated with shift operator. The shift operator in two models ensures that there is a one-to-one correspondence between the energy levels and energies of the BPS saturating.


2007 ◽  
Vol 22 (37) ◽  
pp. 2791-2797
Author(s):  
S. S. AFONIN

A one-dimensional quantum mechanical model possessing mass-gap, a gapless excitation, and an approximate parity doubling of energy levels is constructed based on heuristic QCD-inspired arguments. The model may serve for illustrative purposes when considering the related dynamical phenomena in particle and nuclear physics.


2015 ◽  
Vol 06 (09) ◽  
pp. 1298-1307
Author(s):  
Zhenhua Mei ◽  
Qingxian Yu ◽  
Shuyu Mei

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