What is the math knowledge necessary for starting Quantum …
Could someone experienced in the field tell me what the minimal math knowledge one must obtain in order to grasp the introductory Quantum Mechanics book/course? I do have math knowledge but I must say, currently, kind of a poor one. I did a basic introductory course in Calculus, Linear algebra and Probability Theory.
What's the standard "roadmap" to learning quantum physics?
However, I don't know where to start and in what order I should learn things. So, ideally I'm looking for some sort of roadmap of what to learn. What physics topics do I need to know to start learning about quantum mechanics? (In addition to the mathematical topics mentioned at What is the math knowledge necessary for starting Quantum Mechanics?)
What is the mathematical background needed for quantum physics?
The extremely basic Quantum Physics topics use differential equations and complex variables and equations. (The standard Schrodinger equation for instance) Books by Stephen Hawking speak about Quantum Mechanics as well, and are great introductions to the concepts.
quantum mechanics - What math is needed to understand the …
Look at the following questions previously asked on physics.SE. What is the math knowledge necessary for starting Quantum Mechanics? study quantum mechanics without physics background Mathematics for Quantum Mechanics Summarizing that answers with my experience, you should know linear algebra (but, I think, it's better to know math behind Hilbert space - in infinite dimensions, which is ...
Mathematical background for Quantum Mechanics - Physics Stack …
You will have more than enough math for the first two semesters of quantum mechanics if you are taking functional analysis in a mathematics course. The immense majority of quantum mechanics books will have the requisite math in an appendix.
Quantum Field Theory from a mathematical point of view
Glimm & Jaffe's "Quantum Physics: A Functional Integral Point of View" explains a lot of the mathematical machinery like nuclear spaces and cylinder measures which can be used to make the effective field theory idea mathematically precise, and uses this machinery to constructive 2d scalar field theories and prove some non-trivial facts about them.
quantum field theory - How deep can my knowledge of particle …
The Nobel winner in particle physics Gerard 't Hooft has compiled a list of essential subjects, with resources, which are required (pretty much in order) to get to research level in modern particle physics/quantum field theory/string theory.
The philosophy behind the mathematics of quantum mechanics
It then describes the algebra of vector and matrix spaces, and proceeds. I don't have any problem with the mathematics of quantum mechanics, but I don't understand the philosophy behind this math. To be more clear, I have the following questions (and the like) in my mind (all related to quantum mechanics): Why vector/Hilbert spaces?
What is the prerequisite for learning quantum mechanics?
Sep 25, 2015 · For any engineer who did good at engineering math classes there is not much of a surprise in quantum mechanics. Just keep in mind that quantum mechanics courses are usually given in 2nd or 3rd year for physics undergraduates.
What is a good introductory book on quantum mechanics?
The standard undergraduate books on quantum mechanics are not very good in comparison to these, and should not be used. A book which requires minimum of calculus or continuous mathematics is Nielsen & Chuang: "Quantum Computation and Quantum Information" This focuses on modern research, and discrete systems in quantum computation.