Physique Quantique 1

Quantum Physics 1

Description: Quantum Physics 1, offered in the first-year common core curriculum, aims to introduce the fundamental concepts of wave physics as well as the modern mathematical formalism of quantum physics, notably the Schrödinger equation. Students will develop a solid understanding of essential quantum phenomena and learn to use the mathematical tools specific to quantum mechanics, including operator algebra and its properties. The course will be based on key experiments that laid the foundation of quantum theory (double-slit experiment, photoelectric effect, Stern-Gerlach experiment) to present the fundamental postulates of quantum mechanics and justify the transition from classical to quantum formalism. The notions of orbital angular momentum quantization and spin will be covered, along with their use in the study of two-level systems and a first description of the hydrogen atom. Finally, several practical applications will be examined to illustrate the relevance of these concepts, including the MASER, atomic clocks, and Nuclear Magnetic Resonance (NMR). This course provides an essential foundation for understanding quantum systems and prepares students for advanced courses in physics, photonics, nanotechnologies, or quantum engineering.

Bibliography:

  • Ref. [1] : C. Cohen-Tannoudji, F. Laloë, B.Diu, Mecanique Quantique – Tome 1, EDP Science CNRS Edition (2018)
  • Ref. [2] : J.-L. Basdevant, J. Dalibard, Mécanique Quantique, Ellipse Edition (2006)

Learning outcomes: At the end of this course, students will be able to: AA1: Understand and implement the fundamental postulates of quantum mechanics – AA2: Understand and apply the theory of angular momentum – AA3: Solve a wave physics problem by applying the Schrödinger equation – AA4: Apply the quantum formalism to simple quantum systems – AA5: Explain the foundational experiments of quantum mechanics

Evaluation methods: 1h30 written test, can be retaken.

Evaluated skills:

  • Physical Modeling

Course supervisor:

  • Damien Rontani

Geode ID: SPM-PHY-001