Math prerequisites for QM by David Griffiths

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SUMMARY

To thoroughly understand "Introduction to Quantum Mechanics" by David Griffiths, a solid foundation in specific mathematics is essential. Key prerequisites include Calculus II (cal2), Calculus III (cal3), Ordinary Differential Equations (diffeq1), and Partial Differential Equations (diffeq2). Linear Algebra (linealg) is also necessary, while Vector Calculus (vectorcalc) is less relevant for quantum mechanics but important for other physics areas. Real Analysis (realanal1 and realanal2) is not required unless one aims to grasp the underlying mathematics of physics deeply.

PREREQUISITES
  • Calculus II (cal2)
  • Calculus III (cal3)
  • Ordinary Differential Equations (diffeq1)
  • Partial Differential Equations (diffeq2)
NEXT STEPS
  • Study the Schrödinger equation and its solutions in quantum mechanics.
  • Explore advanced topics in Partial Differential Equations (PDE) relevant to quantum mechanics.
  • Review Linear Algebra concepts applicable to quantum states and operators.
  • Investigate the role of Ordinary Differential Equations in quantum systems.
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics, as well as educators seeking to enhance their curriculum with appropriate mathematical foundations.

unsung-hero
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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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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 Schrödinger 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.
 

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