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FXF

- Thread starter FeynmanXFan
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FXF

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Do not fancy it before calculus II....Even though I‘m taking Calc III and diff eq concurrently with Intro to quantum physics I still struggle at quantum physics. (In contrast calc III and diff eq are VERY easy..)

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- #3

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If you want a less formal introduction, try Feynman's popular book QED: the strange theory of light and matter.

- #4

Fredrik

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AlonsoMcLaren (or anyone who feels the same way): Why does everyone emphasize calculus and not linear algebra?

I second the recommendation for "QED: The strange theory of light and matter". It's a great non-mathematical presentation of how QM can explain the weird behavior of light. (I haven't read the Feynman lectures on physics, so I can't comment on them).

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One should not learn these topics with quantum theory, because the challenge to comprehend quantum theory shouldn't be the mathematics since the really weird thing about it is the physics. I recommend to learn vector calculus first by studying classical physics (fluid dynamics and classical electromagnetism). Most intuitive is to have hydrodynamics as a picture for the various operations (div, grad, curl and various types of integrals related with these differential operators, Stokes's, Gauss's, and Helmholtz's theorems, etc.).

A short, but the the most useful intuitive introduction into this can be found in Sommerfeld's Lectures on Theoretical Physics, Vol. II.

Also, one should not start to learn quantum theory with photons, which is even more difficult than non-relativistic quantum mechanics of massive particles. The Feynman Lectures are a good starting point, particularly because of Feynman's famous "no-nonsense approach" to the subject. However, as many textbooks, it's overemphasizing the wave-mechanics formulation. After some familiarity with this approach one should come soon to the more abstract formulation in terms of Dirac's bra-ket formalism! A good intro for that is J. J. Sakurai, Modern Quantum Mechanics.

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'The Quantum World' by John Polkinghorn is an interesting introduciton to qm.

- #7

jtbell

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Many of the introductory treatments of QM that students see (in the USA at least) introduce the necessary linear algebra concepts as they go along.Why does everyone emphasize calculus and not linear algebra?

I agree that many students benefit from having studied linear algebra beforehand, so that they don't have to learn two sets of concepts (QM and LA) at once. On the other hand, some students don't get much out of a separate linear algebra class that's too abstract. They do better when they learn it in the context of applications like QM.

Also, most students here don't start studying QM by diving into a full-bore QM textbook like Griffiths or Sakurai or Shankar or Park or whatever. They get their first exposure in a second-year "intro modern physics" course that includes a few weeks of basic QM: the wave function, Schrödinger's equation, the particle in a box, tunneling, and an outline of the hydrogen atom.

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