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Analysis: Quantum Mechanics I
12 Topics • 2 Files
1. Priority 5 Topics
Schrödinger Eq. ~4h 95%
Possible Exam Question "Derive the time-independent Schrödinger equation and explain stationary states."
Justification Central fundamental equation of quantum mechanics, thoroughly covered with multiple practice problems
Reason EXERCISES
Chapter 6.2Problem Set 4
Wave Function ψ ~3h 92%
Possible Exam Question "Explain the physical meaning of |ψ|² and the normalization condition."
Justification Fundamental concept, prerequisite for all subsequent topics in quantum mechanics
Reason PREREQUISITE
Chapter 3Chapter 4
Harm. Oscillator ~5h 88%
Possible Exam Question "Calculate the energy levels of the harmonic oscillator and sketch the first three wave functions."
Justification Dedicated chapter with over 5 pages, multiple worked examples and past exam questions available
Reason OWN_CHAPTER
Chapter 8Problem Set 6
Uncertainty Principle ~2h 85%
Possible Exam Question "State the Heisenberg uncertainty principle and explain its physical significance."
Justification Explicitly marked as "exam relevant" in the lecture notes
Reason EXPLICITLY_IMPORTANT
Chapter 5.3
H-Atom ~6h 82%
Possible Exam Question "Derive the energy levels of the hydrogen atom and explain the quantum numbers n, l, m."
Justification Dedicated chapter, referenced in multiple chapters, past exam questions available
Reason MULTIPLE_MENTIONS
Chapter 9Chapter 10Past Exam 2023
2. Neutral 4 Topics
Operators ~3h 65%
Possible Exam Question "Show that the momentum operator is Hermitian."
Justification Mathematical background without special emphasis, no practice problems directly related
Reason BACKGROUND
Chapter 4.1
Angular Mom. ~4h 58%
Possible Exam Question "Derive the commutation relations for angular momentum operators."
Justification Theoretical background, only briefly covered in lectures without practical application examples
Reason BACKGROUND
Chapter 7
Tunneling ~2h 52%
Possible Exam Question "Explain the phenomenon of quantum tunneling qualitatively."
Justification Interesting application example, but no exercises and only treated qualitatively
Reason BACKGROUND
Chapter 6.5
Hilbert Space ~3h 45%
Justification Mathematical formalism without direct application in exam problems
Reason BACKGROUND
Chapter 2
3. Ignore 3 Topics
History ~1h 25%
Justification Marked as "excursion" in the notes, never asked in any past exam from the last 5 years
Reason EXCURSION
Chapter 1.1
Relativistic QM ~8h 18%
Justification Very high effort (8h) with low return, explicitly marked as "not exam relevant"
Reason HIGH_EFFORT
Chapter 12
Bra-Ket Details ~2h 15%
Justification Only mentioned in 1-2 sentences in the notes, superficial understanding of notation is sufficient
Reason BRIEFLY_MENTIONED
Chapter 2.3

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