TY  - JOUR
T1  - The Determination of Eigenvalues and Eigenvectors of the Orbital Angular Momentum
AU  - Wasman, Kishwar Mohammed
AU  - Mawlud, Saman
PY  - 2022
DA  - July
Y2  - 2022
DO  - 10.54565/jphcfum.1026837
JF  - Journal of Physical Chemistry and Functional Materials
PB  - Niyazi BULUT
WT  - DergiPark
SN  - 2651-3080
SP  - 22
EP  - 29
VL  - 5
IS  - 1
LA  - en
AB  - The theory of angular momentum performance a significant position in the classical and quantum mechanical study of physical properties, such as studies into nuclear, atomic, and molecular processes, as well as other quantum problems, including spherical symmetry. In this analysis, angular momentum operators are described in multiple ways, based on the angular momentum operator's commutator, matrix, and geometric representation, The eigenvalue and eigenvector were also known for operatorsJ ̂_±,J ⃑  ̂^2, J ̂_x,J ̂_y and J ̂_zwithin the |j,┤ ├ m⟩  basis. Furthermore, in quantum mechanics, angular momentum is called quantized variable, meaning that it comes in discrete quantities. In contrast to the macroscopic system case where a continuous variable is angular momentum.
KW  - Orbital angular momentum
KW  - Quantization
KW  - Raising and lowering operators
KW  - Quantum numbers
KW  - Matrix and graphical representation
CR  - 1.	Zettili, N., Quantum mechanics: concepts and applications. 2003, American Association of Physics Teachers.
CR  - 2.	Griffiths, D.J. and D.F. Schroeter, Introduction to quantum mechanics. 2018: Cambridge University Press.
CR  - 3.	Cohen-Tannoudji, C., B. Diu, and F. Laloe, Quantum Mechanics, vol. 1, 231. 2005, Singapore: Wiley.
UR  - https://doi.org/10.54565/jphcfum.1026837
L1  - https://dergipark.org.tr/en/download/article-file/2093515
ER  -