Operator formulation of quantum mechanics. Density operator and mixed ensembles. Angular momentum, spin systems. Evolution of closed quantum systems. Discrete symmetries in quantum mechanics. Introduction to quantum optics.
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| Dönem | Course 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 |
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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
Fundamental concepts: the bra-ket notation, measurements, observables, change of basis. Position, momentum, translation; wave-functions. Quantum Dynamics: Time evolution, Schrödinger and Heisenberg pictures. The harmonic oscillator. Schrödinger wave equation. Propagators and Path Integrals. Gauge transformations. Angular momentum, rotations, angular momentum eigenstates and eigenvalues. Spin-1/2 systems, Bell's inequality. Orbital angular momentum. Addition of angular momentum. Density operators and mixed ensembles. Symmetry in quantum mechanics. Time reversal symmetry. Introduction to quantum optics (I). Quantization of a single-mode field, quantum fluctuations. Introduction to quantum optics (II). Coherent states: properties and generation. ECTS - Workload Table: Activities Number Hours Workload Final exam 1 2 2 Preparation for Final exam 1 20 20 Course hours 14 3 42 Individual or group work 14 2 28 Preparation for Midterm exam 2 15 30 Midterm exam 2 2 4 Homework 6 5 30 Total Workload: 156 Total Workload / 30: 156 / 30 5.2 ECTS Credits of the Course: 5