J. J. Sakurai, a renowned physicist and author of the popular textbook "Modern Quantum Mechanics," emphasizes the importance of mathematical concepts and techniques in understanding quantum mechanics. In his book, he states that without a solid foundation in mathematics, it is difficult to fully comprehend the fundamental principles and applications of quantum mechanics.
The study of quantum mechanics requires a strong understanding of linear algebra, calculus, and differential equations. These mathematical tools are used to describe and analyze the behavior of quantum systems, such as particles and waves, at the microscopic level.
While a strong background in mathematics is certainly helpful, it is not necessary to be an expert in order to understand quantum mechanics. However, it is important to have a good grasp of the basic mathematical concepts and techniques used in quantum mechanics in order to fully comprehend the subject.
If you are looking to improve your math skills for studying quantum mechanics, it is recommended to brush up on topics such as linear algebra, calculus, and differential equations. There are also many online resources and textbooks available that specifically focus on the mathematical requirements of quantum mechanics.
It is possible to study quantum mechanics without a strong foundation in math, but it may be challenging. Some introductory courses in quantum mechanics may provide a basic overview of the mathematical concepts, but a more in-depth understanding of the subject will require a solid understanding of the underlying mathematical principles.