Journal of Applied Mathematics and Physics, 2021, 9, 856-863 https://www.scirp.org/journal/jamp ISSN Online: 2327-4379 ISSN Print: 2327-4352 DOI: 10.4236/jamp.2021.95058 May 14, 2021 856 Journal of Applied Mathematics and Physics The Quantum Mechanical Rotation Operators of Spins 5/2 to 7/2 Mehpeyker Kocakoç 1 , Recep Tapramaz 2 1 Department of Computer Technologies, Vocational School of İmamoğlu, Çukurova University, Adana, Turkey 2 Department of Physics, Ondokuz Mayıs University, Samsun, Turkey Abstract With the creation of logic gates and algorithms for quantum computers and entering our lives, it is predicted that great developments will take place in this area and important efforts are made. Spin rotation processors are quan- tum mechanical rotation processors and have no classic counterparts. The rotation operators of spin 1/2 are well known and can be found in related textbooks. But rotation operators of other spins greater than 1/2 can be found numerically by evaluating the series expansions of exponential operator ob- tained from Schrödinger equation, by evaluation of Wigner-d formula or by recently established expressions in polynomial forms discussed in the text. In a previous paper, rotation operators for spins 1/2 to 2 were published. In this work, explicit symbolic expressions of x, y and z components of rotation op- erators for spin 5/2, 3 and 7/2 are worked via exponential operator for each element of related spin operators and utilizing simple linear curve fitting process. The procedures gave out exact expressions of each element of the rotation operators. Keywords Rotation Operator, Quantum Information Systems, Spin, Electron Paramagnetic Resonance (EPR) 1. Introduction Quantum mechanical rotation operators in explicit forms are the essential tools of microscopic systems. Wigner [1] introduced expressions of rotation matrices or Wigner-d matrices for orbital angular momenta with the basis of standard Euler angles. Real rotation operators for total angular momenta of 1/2, 1, 3/2 and 2 were generated from Wigner-d formula in some classical textbooks of quan- tum mechanics [2]-[8]. A recently published paper on rotation operators by How to cite this paper: Kocakoç, M. and Tapramaz, R. (2021) The Quantum Me- chanical Rotation Operators of Spins 5/2 to 7/2. Journal of Applied Mathematics and Physics, 9, 856-863. https://doi.org/10.4236/jamp.2021.95058 Received: December 25, 2020 Accepted: May 11, 2021 Published: May 14, 2021 Copyright © 2021 by author(s) and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ Open Access