Kreyszig's book on functional analysis is very good. Chapters 10 and 11 will serve you well as an introduction to the mathematical underpinnings of QM. Should you choose another title, be sure it contains a good discussion of unbounded operators on Hilbert spaces. I don't know the Hassani book.Jianphys17 said:Hi, people
I wondered if as prerequisites for QM, the Kreyszig (for func. analysis) and Hassani's book they be suffices ..
Thank you in advance !
Krylov said:Kreyszig's book on functional analysis is very good. Chapters 10 and 11 will serve you well as an introduction to the mathematical underpinnings of QM. Should you choose another title, be sure it contains a good discussion of unbounded operators on Hilbert spaces. I don't know the Hassani book.
I wasn't the one that brought up Hassani, the OP did, so maybe he can answer your question. I do not know his book(s).noir1993 said:Which book by Hassani are you talking about? He has one on mathematical physics and another one on mathematical methods.
Krylov said:I wasn't the one that brought up Hassani, the OP did, so maybe he can answer your question. I do not know his book(s).
Jianphys17 said:Hi, people
I wondered if as prerequisites for QM, the Kreyszig (for func. analysis) and Hassani's book they be suffices ..
Thank you in advance !
Yes, The math physics book !noir1993 said:I replied to the wrong comment. My bad!
So, if your are talking about Hassani's textbook on mathematical physics, it's more than sufficient, not just for quantum mechanics but several other topics as well.
The basic mathematical concepts needed for understanding Quantum Mechanics (QM) include linear algebra, complex numbers, calculus, and differential equations. These concepts are essential for understanding the fundamental principles and equations of QM, such as the Schrödinger equation and wave functions.
Yes, a strong background in mathematics is necessary for studying QM. It is recommended to have a good understanding of algebra, trigonometry, geometry, and basic calculus before delving into QM. This will help in grasping the complex mathematical concepts and equations used in QM.
While having prior knowledge of classical mechanics can be helpful, it is not a prerequisite for studying QM. However, a basic understanding of classical mechanics concepts like energy, momentum, and forces can aid in understanding some of the fundamental principles of QM.
Yes, computer programs and calculators can be used to solve mathematical problems in QM. In fact, many complex equations and calculations in QM can only be solved using advanced computer programs. However, it is important to have a good understanding of the underlying mathematical concepts and equations before relying solely on technology.
There are several textbooks and resources available for learning the mathematical methods in QM. Some popular options include "Mathematical Methods in Quantum Mechanics" by Gerald Teschl, "A Guide to Mathematical Methods for Physicists" by Michio Masujima, and "Mathematical Methods for Physicists" by George B. Arfken and Hans J. Weber. It is recommended to consult with your instructor or colleagues for specific recommendations based on your level of mathematical proficiency.