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What prerequisite knowledge do I need for starting QM? I know basic calculus of class 12th standard (pre college). I am aware of methods of substitutions, standard integrals, definite integrals, integration by part and have a good idea about functions. I also know quite a bit of matrices an linear algebra, vectors , 3d geometry, etc. now my question is, what extra knowledge do I need to delve into QM and how much more and what else do I need to start learning QM? Please answer my question and please do not make fun of me for being a novice.

Qmechanic
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  • Possible duplicates: https://physics.stackexchange.com/q/16814/2451 , https://physics.stackexchange.com/q/19262/2451 , https://physics.stackexchange.com/q/38963/2451 and links therein. – Qmechanic Apr 06 '23 at 05:43
  • Linear Algebra and Probability Theory. – kludg Apr 06 '23 at 05:58
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    The mathematical heart of the subject is linear algebra - work through a really good course, at the level of, say, Lang's Linear Algebra (the undergraduate book). Fewer matrices and more linear maps! Know about unitary operators, dual vectors, eigenvalues/eigenvectors, diagonalization/normal form. Additionally, it may also help to know some basic functional analysis - distributions in particular, since they are often used in introductory books. A lot of the rest you should be able to pick up as it comes. A good book is by Sakurai. – SvenForkbeard Apr 06 '23 at 07:56

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