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Course: 2023/2024

Wave quantum mechanics

(19568)

Master in Quantum Technologies and Engineering (Plan: 476 - Estudio: 379)

EPI

Coordinating teacher: SANCHEZ FERNANDEZ, LUIS RAUL

Department assigned to the subject: Physics Department

Type: Compulsory

ECTS Credits: 3.0 ECTS

Course: 1º

Semester: 1º

Requirements (Subjects that are assumed to be known)

Fundamentals of Algebra, Differential Equations and Mechanics.

Skills and learning outcomes

Link to document

Description of contents: programme

Postulates of quantum mechanics.- 1. Wave function. Probabilistic interpretation. 2. Operators and physical magnitudes. Eigenvalues and eigenstates. Space of states. 3. Time evolution of the quantum state. Schrödinger equation. 4. Measurement processes in quantum mechanics. 5. Relation to matrix formulation of QM. Schrödinger equation.- 6. Problems independent of time. Bound and scattering states. Free particles. 7. One-dimensional systems: harmonic oscillator; barrier and wells; quantum tunnelling. 8. Periodic potentials. Bloch theorem. Applications: band theory in solids 9. Kronig-Penney model. Electrons and holes. Metals and insulators. Semiconductors. Superconductivity.

Assessment System

Final Exam: collection of questions and problems. Duration: about 2:30 hours. Provides 60% of total grade.

Continuous assessment
Test 1: short question or problem solved during class hours. Duration: 30 - 45 mins. Provides 15% of total grade.
Test 2: short question or problem. solved during class hours Duration: 30 - 45 mins. Provides 25% of total grade.

% end-of-term-examination 60
% of continuous assessment (assigments, laboratory, practicals...) 40

Calendar of Continuous assessment

Basic Bibliography

David J Griffiths. Introduction to Quantum Mechanics. Prentice Hall. 1998

Additional Bibliography

C. Cohen-Tannoudji et al. Quantum Mechanics. Wiley. 1977

The course syllabus may change due academic events or other reasons.