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PHYS 543

Advanced Quantum Mechanics I

This is where quantum mechanics gets rebuilt from the ground up as a theory of operators on Hilbert space, rather than the wave-function-first picture you saw in undergrad PHYS 332/342. You'll work through Sakurai-style problem sets on bra-ket algebra, angular momentum addition, density matrices, and discrete symmetries, ending with a first pass at field quantization and coherent states. It's the language every later course assumes — many-body, QFT, quantum optics, condensed matter — so the goal is fluency with the formalism itself, not just getting answers out.

Credit3ECTS5FacultyFaculty of ScienceBölümPhysicsMüfredatY4 Bahar

Haftalık müfredat 14 hafta

Hafta 1
Fundamental concepts: the bra-ket notation, measurements, observables, change of basis.
Hafta 2
Position, momentum, translation; wave-functions.
Hafta 3
Quantum Dynamics: Time evolution, Schrödinger and Heisenberg pictures. The harmonic oscillator.
Hafta 4
Schrödinger wave equation. Propagators and Path Integrals.
Hafta 5
Gauge transformations.
Hafta 6
Angular momentum, rotations, angular momentum eigenstates and eigenvalues.
Hafta 7
Spin-1/2 systems, Bell's inequality.
Hafta 8
Orbital angular momentum.
Hafta 9
Addition of angular momentum.
Hafta 10
Density operators and mixed ensembles.
Hafta 11
Symmetry in quantum mechanics.
Hafta 12
Time reversal symmetry.
Hafta 13
Introduction to quantum optics (I). Quantization of a single-mode field, quantum fluctuations.
Hafta 14
Introduction to quantum optics (II). Coherent states: properties and generation.

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Geçmiş GPA dağılımı 18 dönem · ort. 3.01

DönemCourse CPA
2025-2026 Fall 3.44 1 sec · 10 öğr
2024-2025 Fall 3.15 1 sec · 11 öğr
2023-2024 Fall 3.14 1 sec · 12 öğr
2021-2022 Fall 3.43 1 sec · 11 öğr
2020-2021 Fall 3.17 1 sec · 6 öğr
2019-2020 Fall 3.40 1 sec · 11 öğr
2018-2019 Fall 3.33 1 sec · 7 öğr
2017-2018 Fall 3.14 1 sec · 12 öğr
2016-2017 Fall 2.75 1 sec · 19 öğr
2015-2016 Fall 2.57 1 sec · 14 öğr

Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.

⚠️ FZ engelleyen şartlar

Course Learning Outcomes: Course Learning Outcome Assessment Formulate and solve quantum mechanics problems using the operator formalism, including the use of Hilbert space, commutation relations, and the density operator. Homework Final:Practical(skills) Midterm:Practical (skills) Analyze spin systems, angular momentum algebra, and the addition of angular momenta using algebraic and matrix techniques. Homework Final:Practical(skills) Midterm:Practical (skills) Evaluate the role of discrete symm

Hocalar 0 bu dönem · 9 geçmiş

Geçmişte ders veren (9 kişi)
Mehmet Özgür Oktel, Ceyhun Bulutay, Ahmet Gökalp, Tahsin Tuğrul Hakioğlu, Bilal Tanatar, Cemal Yalabık, Salim Çıracı, Zafer Gedik, Alexander Shumovsky