Analytical mechanics

Overview of the basic principles of analytical mechanics, with emphasis on the Lagrange and Hamilton approaches and on conservation theorems.

Physics 1, Analysis 1

Survey of elementary principles of mechanics.
Variational principles and Lagrange’s equations. The central force problem. The kinematics of rigid body motion. The rigid body equations of motion. Oscillations. The classical mechanics of the special theory of relativity. The Hamilton Equations of Motion. Canonical transformations.
Hamilton-Jacobi theory and action-angle variables. Canonical Perturbation.

Solid knowledge of the basic principles of Lagrangian and Hamiltonian mechanics.

• H. Goldstein: Classical mechanics (ed. Pearson) Catalogue E-version
• lecture notes

• written tests, writen exam
• oral exam

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.
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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.
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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]