Quantum Mechanics I (PHYS 531)

2020 Fall
Faculty of Engineering and Natural Sciences
Physics(PHYS)
3
10.00
Mehmet Zafer Gedik gedik@sabanciuniv.edu,
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English
Doctoral, Master
--
Formal lecture,Interactive lecture
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CONTENT

Dirac formulation, operators, measurements and observables, , unitary transformations, Heisenberg ve Schrödinger pictures, Schrödinger's equation, Feynman path integrals, rotations and angular momentum, hydrogen atom, spin, addition of angular momenta.

OBJECTIVE

Teach fundamentals of quantum mechanics at an advanced level (such that the student is able to follow simple research papers)

LEARNING OUTCOME

a) describe the concept of superposition,
b) use this concept to predict outcomes of measurements done on simple quantum systems
c) comprehend the concepts of state vectors and operators
d) solve the energy eigenvalue equation for a range of 1d problems and demonstrate energy quantisation and quantum tunnelling effects,
e) use Dirac notation to calculate expectation values and probabilities for common observables,
f) solve Schrödinger equation for a range of selected three-dimensional problems such as the hydrogen atom, perform calculations on angular momentum wave functions,
g) describe how a general initial state will evolve with time,
h) Calculate how a simple initial state will evolve with time.

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 50
Exam 40
Participation 10

RECOMENDED or REQUIRED READINGS

Textbook

Sakurai, Modern Quantum Mechanics
Shankar, Principles of Quantum Mechanics
Baym, Quantum Mechanics