Learn the Basics of Calculus for Solving Quantum Mechanics Equations

  • Thread starter Addiction2Code
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In summary, the conversation discusses the speaker's interest in learning the mathematical principles behind Quantum Mechanics, specifically in relation to calculus. They are seeking tips and resources for learning these concepts without going through a full geometry or pre-calculus class. The responses suggest starting with a basic understanding of linear algebra and then picking up a QM book to read and supplement with additional math as needed.
  • #1
Addiction2Code
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Hello, I am very interested in learning 'beyond the surface' Quantum Mechanics, in the sense that I would like to learn how to do the math involved, or at least understand it. I know basic Algebra, solving equations, system of equations, quadratics, ect... but I would like to know where to start with understanding the basic principles of calculus so I can understand Quantum Mechanics mathematically, are there any tips or hints anyone can give me on where I can get content pertaining to such knowledge without going through the full Geometry/Pre-calc classes? I basically need to understand the simplification of the different 'Calculus Functions' into Algebra so I can solve. Websites, Tutorials, Tips, Notes anything would be great, thanks a bunch!

P.S. I do realize math is one of the topics that requires a lot of study and practice, I do later plan on taking full classes, I would just like to know/understand the basic Calculus concepts for Physics so I can fully get the 'mathematical' idea of what's happening.
 
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  • #2
Welcome to PF!

Hi Addiction2Cod! Welcome to PF! :smile:

There's some free online books at http://freescience.info/Physics.php?id=91 …

Try a few and see which one suits! :wink:
 
  • #3
What you need to understand are derivatives, integrals, complex numbers, vector spaces, linear operators, inner (scalar) products, matrices, the relationship between linear operators and matrices, eigenvalues and eigenvectors. That makes linear algebra more important than calculus.

I recommend that you don't try to learn all the maths first. You should definitely make sure that you have a basic understanding of all the stuff I listed above before you start studying QM, but there's a lot of stuff in a typical calculus class that you don't need just to be able to read an introductory QM book. So you don't have to work through the whole calculus book before you start.

Get a good QM book (e.g. Griffiths) and try to read it. If you feel that you need more math, then pick up your math books again.
 
  • #4
I'm not so sure Fredrik. No doubt quite a lot of people learn the maths to learn the QM. But a lot of people also spend a lot of time confusing purely mathematical properties and things with quantum mechanical ones.

Given the amount of re-learning you may end up doing, it might be more efficient to learn the math first.
 

FAQ: Learn the Basics of Calculus for Solving Quantum Mechanics Equations

FAQs about "Learn the Basics of Calculus for Solving Quantum Mechanics Equations"

What is calculus and why is it important for solving quantum mechanics equations?

Calculus is a branch of mathematics that deals with the study of change and motion. It is important for solving quantum mechanics equations because it allows us to understand the behavior of particles and systems at a fundamental level, and make accurate predictions about their properties.

Is it necessary to have a strong background in math to learn calculus for quantum mechanics?

While a strong foundation in math is helpful, it is not necessary to have a deep understanding of advanced mathematical concepts to learn the basics of calculus for quantum mechanics. With dedication and practice, anyone can learn the fundamental principles of calculus and apply them to quantum mechanics equations.

How can learning calculus improve my understanding of quantum mechanics?

Calculus allows us to analyze and model complex systems, such as those found in quantum mechanics, using mathematical equations. By learning calculus, you will gain a deeper understanding of the underlying principles and mathematical foundations of quantum mechanics, making it easier to solve equations and make predictions about the behavior of particles and systems.

Are there any resources available for learning the basics of calculus for solving quantum mechanics equations?

Yes, there are many resources available such as textbooks, online courses, and tutorials that can help you learn the basics of calculus for solving quantum mechanics equations. You can also consult with a math or physics tutor for personalized instruction and guidance.

Can calculus be applied to other areas of physics besides quantum mechanics?

Yes, calculus is used extensively in other areas of physics such as classical mechanics, electromagnetism, and thermodynamics. It is a powerful tool for modeling and understanding the behavior of physical systems and is widely applicable in many branches of science and engineering.

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