What maths is needed for quantum physics?

Basic courses in mathematics that you should complete in order to understand quantum mechanics should include:

• Calculus.
• Linear Algebra.
• Ordinary Differential Equations.
• Partial Differential Equations.
• Probability and Statistics.

What maths is used in theoretical physics?

Honestly, physicists use almost all types of math. Higher mathematics is very common, such as tensor and multivariable calculus. Physicists also use differential geometry, vector calculus, differential equations, linear algebra and lie algebra.

How is new math created?

So, as you can imagine by now, new mathematics is discovered/created by attempting to solve important problems for which there are currently no solutions. You can also create/invent new math by attempting to create objects that do something you want them to do, or have properties you want them to have.

What type of math do you need to learn quantum mechanics?

Group theory and representation theory are definitely not necessary. Although they are important to quantum mechanics, you will not see them until very advanced levels. So, long story short: you need to know calculus up through vector calculus and linear algebra up through abstract linear algebra.

What is quantum mechanics and how does it work?

Quantum mechanics is, at least at first glance and at least in part, a mathematical machine for predicting the behaviors of microscopic particles — or, at least, of the measuring instruments we use to explore those behaviors — and in that capacity, it is spectacularly successful: in terms of power and precision,…

What are the state-spaces of quantum mechanics?

As we will see, the state-spaces of quantum mechanics are special kinds of vector spaces, known as Hilbert spaces, and they have more internal structure than their classical counterparts.

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