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
Editor-in-Chief
Assoc. Prof. Nguyen Van Hiep Thu Dau Mot University
Editorial Board
Assoc. Prof. Le Tuan Anh Thu Dau Mot University
PhD. Nguyen Quoc Cuong Thu Dau Mot University
PhD. Doan Ngoc Xuan Thu Dau Mot University
PhD. Nguyen Khoa Truong An Thu Dau Mot University
Assoc. Prof. Nguyen Thanh Binh Thu Dau Mot University
PhD. Le Thi Thuy Dung Thu Dau Mot University
PhD. Ngo Hong Diep Thu Dau Mot University
PhD. Nguyen Duc Dat Duc Ho Chi Minh City University of Industry and Trade
Assoc. Prof. Nguyen Van Duc Animal Husbandry Association of Vietnam
PhD. Nguyen Thi Nhat Hang Department of Education and Training of Binh Duong Province
PhD. Nguyen Thi Cam Le Vietnam Aviation Academy
PhD. Trần Hạnh Minh Phương Thu Dau Mot University
M.A. Pham Van Thinh Thu Dau Mot University
PhD. Nguyen Thi Lien Thuong Thu Dau Mot University