What should i study for Quantum Mechanics

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To begin learning quantum mechanics, foundational knowledge in mathematics and physics is essential. Key mathematical topics include calculus, differential equations, linear algebra, and operator theory. In physics, a solid understanding of classical mechanics, electromagnetism, and special relativity is crucial, typically covered in the first two years of an undergraduate program. Recommended resources include introductory texts like Zetilli's Quantum Mechanics, which should be worked through thoroughly, including examples and problems.For those aiming to delve deeper into quantum mechanics, familiarity with Hamiltonian and Lagrangian mechanics, advanced differential equations, complex analysis, and abstract algebra is necessary. This advanced material can often be studied alongside introductory quantum mechanics. Overall, a structured approach through undergraduate-level courses in both math and physics is the best pathway to mastering quantum mechanics.
Peter25samaha
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I want to start learning quantum mechanics but i have no idea where to start . I want to know which other fileds and physics branches i have to study before quantum mechanics and if i want to go more deeply for this (like taking a graduate course ) what should i study before this in physics math and chemestery
 
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Maths, calculus, differential equations, linear algebra and eventually operator theory. Physics, study all the basic physics first like Newtonian mechanics, Electromagnetism, special relativity and basic modern physics. Basically what you learn in a physics course at uni, until you get to quantum in 3rd year usually.

Then pick up a friendly book like Zetilli's Quantum mechanics and work through it thoroughly, do the worked examples and some problems.
 
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Peter25samaha said:
I want to start learning quantum mechanics but i have no idea where to start . I want to know which other fileds and physics branches i have to study before quantum mechanics and if i want to go more deeply for this (like taking a graduate course ) what should i study before this in physics math and chemestery
Quantum mechanics is nowhere near a graduate-level course - you'll meet it no later than the second year of an undergraduate physics program and will still be many years of study away from the stuff that gets covered in A-level threads here.

To get through the first course in quantum mechanics, you will need
- Math: Multi-variable and vector calculus, elementary complex analysis, elementary and multi-variable differential equations, elementary linear algebra. This material is covered in more or less the second year of a college-level math program (a serious treatment of elementary differential and integral calculus is the first year).
- Physics: Classical mechanics at the level of Kleppner and Kolenkow or equivalent, E&M at the level of Purcell or equivalent, and then a semester on wave phenomena.

If you're going to go beyond introductory QM you will need the Hamilton/Lagrange formulation of classical mechanics, much more differential equations and complex analysis, and a serious course on abstract algebra. This can be studied in parallel with your intro QM class.
 
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Vanadium 50 said:
The answer hasn't really changed since Thursday, the last time you asked it.
If you can see well the last time i asked about cosmology and gravity , and i asked in which branch we can put them not what to study for them
 
People can still read what you read in that thread - even the part where you think you don't need E&M to study QM. The advice there was spot on.
 
Hey, I am Andreas from Germany. I am currently 35 years old and I want to relearn math and physics. This is not one of these regular questions when it comes to this matter. So... I am very realistic about it. I know that there are severe contraints when it comes to selfstudy compared to a regular school and/or university (structure, peers, teachers, learning groups, tests, access to papers and so on) . I will never get a job in this field and I will never be taken serious by "real"...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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