Math prerequisites for QM by David Griffiths

In summary, to thoroughly understand everything in the textbook "Introduction to Quantum Mechanics" by David Griffiths, one should have knowledge of calculus 2 and 3, differential equations (both ordinary and partial), and linear algebra. While vector calculus may not be directly applicable, it can still be useful in understanding other areas of physics. Courses in real analysis are not necessary for understanding QM, unless one wants a deeper understanding of the mathematical principles behind the physics.
  • #1
unsung-hero
13
0
What math should a person know to THOROUGHLY understand everything in this textbook(Introduction to Quantum Mechanics by David Griffiths)?

(For refrence)
cal2
cal3
diffeq1(ode)
diffeq2(pde)
linealg
vectorcalc
realanal1
realanal2

Please list all you think are necessary. Thanks
 
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  • #2
unsung-hero said:
What math should a person know to THOROUGHLY understand everything in this textbook(Introduction to Quantum Mechanics by David Griffiths)?

(For refrence)
cal2
calc3
diffeq1(ode)

Definitely

diffeq2(pde)

Yes, PDE theory is useful in QM, since the Schrodinger equation is essentially a PDE. But QM books will almost always teach you how to solve this equation, so PDE courses might not be so useful after all, certainly not if it's a very theoretical course.

linealg

Definitely

vectorcalc

I don't think this will be very useful to QM, it is very useful in other parts of physics like E&M though.

realanal1
realanal2

Definitely not useful. Unless you want to understand the mathematics behind the physics very well, in which case these courses are not enough by far. But again, it is perfectly possible to understand QM well without analysis.
 

1. What is the purpose of studying math prerequisites for QM?

The purpose of studying math prerequisites for QM is to gain a solid foundation in mathematical concepts and techniques that are essential for understanding quantum mechanics. These prerequisites include linear algebra, complex numbers, calculus, and differential equations.

2. Do I need to have a strong math background to understand QM?

Yes, a strong math background is necessary for understanding quantum mechanics. It is important to have a solid understanding of the mathematical concepts and techniques used in QM, as they are essential for solving problems and interpreting results correctly.

3. Can I learn QM without studying the math prerequisites?

No, it is not recommended to try to learn QM without studying the math prerequisites. Without a strong foundation in math, it will be difficult to fully understand the concepts and equations used in QM, and you may struggle to solve problems and interpret results accurately.

4. How can I improve my understanding of the math prerequisites for QM?

Some ways to improve your understanding of the math prerequisites for QM include practicing problems, seeking help from a tutor or teacher, and utilizing online resources such as videos and interactive tutorials. It is also important to review and reinforce your understanding of these concepts regularly.

5. Are there any specific topics in the math prerequisites that are particularly important for QM?

Yes, some specific topics that are particularly important for QM include linear algebra, complex numbers, and vector calculus. These concepts are used extensively in QM to describe and analyze the behavior of quantum systems.

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