In physics, the majority of natural events have been researched and described using differential equations, each having its own initial and boundary conditions. These differential equations contain a large number of fundamental constants as well as other model parameters. They add to the equation's complexity and rounding errors, making the problem more difficult to solve. In this work, we provide a method for transforming these physics differential equations into dimensionless equations, which are significantly simpler. Nondimensionalization, by suitably substituting variables, is the process of removing some or all of the physical dimensions from an equation that contains physical quantities. Some benefits of these dimensionless equations include that they are simpler to identify when using well-known mathematical methods, need less time to compute, and do not round off errors. Through several examples we discuss, this method is useful not just in quantum mechanics but also in classical physics.
Publication Information
Publisher
Thu Dau Mot University, Viet Nam
Honorary Editor-in-Chief and Chairman of the Editorial Board
Assoc. Prof. Nguyen Van Hiep
Deputy Editor-in-Chief
PhD. Trần Hạnh Minh Phương Thu Dau Mot University
Editorial Board
Prof. Tran Van Doan Fujen University, Taiwan
Prof. Zafar Uddin Ahmed Vietnam National University Ho Chi Minh City
Prof.Dr. Phillip G.Cerny The University of Manchester, United Kingdom
Prof. Ngo Van Le University of Social Sciences and Humanities (VNU-HCM)
Prof. Bui The Cuong Southern Institute of Social Sciences
Prof. Le Quang Tri Can Tho University
Assoc. Prof. Nguyen Van Duc Animal Husbandry Association of Vietnam
Assoc. Prof. Ted Yuchung Liu National Pingtung University, Taiwan
PhD. Anita Doraisami Economics Monash University, Australia
Prof. Dr. Andrew Seddon Asia Pacific University of Technology & innovation (APU)
Assoc. Prof. Le Tuan Anh Thu Dau Mot University
Prof. Abtar Darshan Singh Asia Pacific University, Malaysia
Prof.Dr. Ron W.Edwards The University of Melbourne, Australia
Assoc. Prof. Hoang Xuan Nien Thu Dau Mot University
PhD. Nguyen Duc Nghia Vietnam National University Ho Chi Minh City
PhD. Bao Dat Monash University (Australia)
PhD. Raqib Chowdhury Monash University (Australia)
PhD. Nguyen Hoang Tuan Thu Dau Mot University
PhD. Nguyen Thi Lien Thuong Thu Dau Mot University