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Quantum mechanics

This course is part of the programme
Physics and astrophysics first cycle

Objectives and competences

Provide an overview of basic principles of special relativity and quantum mechanics: from the end of classical period to quanta.

Prerequisites

Physics 1, Analysis 1

Content

Interaction to special relativity. The end of the classical period. The concept of quanta.
Matter waves. The wave-particle duality. The Schrödinger equation. The case of infinite potential step. The harmonic oscillator. The tunnel effect. Heisemberg’s uncertainty relations. Commuting observables and compatible variables.The hydrogen atom. Quantization of the angular momentum. Electron spin. The spin magnetic moment. The Zeeman effect. The Pauli exclusion principle. Fermions and bosons. Quantum statistical mechanics.

Intended learning outcomes

Capability of understanding and solving basic problems in quantum mechanics, modeled through the time-independent Schrödinger equation.

Readings

• D. Griffiths: Introduction to quantum mechanics (ed. Cambridge) E-version
• lectures notes

Assessment

  • written tests, writen exam
  • oral exam

Lecturer's references

Prof. dr. Giovanni De Ninno je redni profesor za področje fizike na Univerzi v Novi Gorici. Professor Giovanni De Ninno is a full professor of physics at the University of Nova Gorica.

  1. ALLARIA, E., DE NINNO, Giovanni, GAUTHIER, David, et al. Two-colour pump- probe experiments with a twin-pulse-seed extreme ultraviolet free-electron laser. Nature communications, ISSN 2041-1723, maj 2013, vol. 4, str. 1-7, doi: 10.1038/ncomms3476.
    [COBISS.SI-ID 2887163]

  2. ALLARIA, Enrico, DE NINNO, Giovanni, GAUTHIER, David, SPAMPINATI, Simone, et al. Two-stage seeded soft-X-ray free-electron laser. Nature photonics, ISSN 1749-4885, 2013, vol. 7, no. 11, str. 913-918, doi: 10.1038/nphoton.2013.277. [COBISS.SI-ID
    2928379]

  3. DE NINNO, Giovanni, MAHIEU, Benoît, ALLARIA, E., GIANNESSI, L.,
    SPAMPINATI, S. Chirped seeded free-electron lasers : self-standing light sources for two- color pump-probe experiments. Physical review letters, ISSN 0031-9007. [Print ed.], 2013, vol. 110, no. 6, str. 064801-1-064801-5, doi: 10.1103/PhysRevLett.110.064801.
    [COBISS.SI-ID 2882299]

  4. ALLARIA, E., DE NINNO, Giovanni, et al. Highly coherent and stable pulses from the FERMI seeded free-electron laser in the extreme ultraviolet. Nature photonics, ISSN 1749- 4885, 2012, vol. 6, no. 10, str. 699-704, doi: 10.1038/nphoton.2012.233. [COBISS.SI-ID
    2817787]

  5. DE NINNO, Giovanni, FANELLI, Duccio, Out-of-equilibrium statistical ensemble inequivalence. Europhysics letters, ISSN 0295-5075, 2012, vol. 97, no. 2, str. 20002-p1- 20002-p5, doi: 10.1209/0295-5075/97/20002. [COBISS.SI-ID 2883323] [COBISS.SI- ID2620155]