Lecture
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05 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
Lezione 1-2 : wave-particle duality and uncertainty principle, two-slits interference, photoelectric effect
09 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
Lezione 3-4: classical wave equation, diffraction and interference, standing waves, wavepackets and group velocity
11 Nov 2021 (2h 00m)
Stefano Luin - Supplementary teaching - Both face to face and online
Introductory Quantum Physics - Theoretical basis on "algebraic" groups and fields. Exercises (made interactively) on: demonstration of unicity; invertible functions on a domain as a group with the operator of function composition, inverse, and substitution of the variable with a function; cartesian product and plane. Complex numbers, exponential of complex numbers.
12 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
Lezione 5-6 : Schroedinger equation and stationary states
16 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 7-8 : 1D time independent Schroedinger equation: potential step, barrier and well
18 Nov 2021 (2h 00m)
Stefano Luin - Supplementary teaching - Both face to face and online
Complex numbers: conjugation, modulus, root extraction; exercises on imaginary exponentials, trigonometric functions and identities, unit circle, complex plane. Derivatives (definition). Potential energies, forces, and their graphs in 1D (exercises). Derivative with respect to time (point notation); position, velocity, momentum of a point particle. Solution for the classical harmonic oscillator (exercise).
19 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 9-10 : scattering and bound states, 2D quantum well, 1D harmonic oscillator
23 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 11-12 : symmetric double well, hermitian operators, eigenvalues and eigenfunctions, expectation values
24 Nov 2021 (2h 00m)
Stefano Luin - Supplementary teaching - Both face to face and online
Derivative of composite functions, also of multiple variables; total and partial derivatives. Scalar and vectorial fields; gradient, divergence, Laplacian. Coulomb force and potential. Vectorial spaces: definition and properties; independent vectors (exercise). Bases of vectorial spaces. Scalar product.
26 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 13-14 : measurement process, commutators, uncertainty relations
29 Nov 2021 (2h 00m)
Stefano Luin - Supplementary teaching - Both face to face and online
Definition of cosine of angle amongst two vectors. Norm. Determination of the components of a vector. Infinite and finite dimensional vectorial spaces. Ortonormalization of a basis (exercise). Operators (fundamentals), matrices, transpose, adjoint. Kronecker delta and Dirac delta.
30 Nov 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 15-16 : unitary time evolution, constant of motion and good quantum numbers, time-reversal invariance, transition rate and lifetime
03 Dec 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 17-18 : classical atomic models and their shortcomings, Franck and Hertz experiment, hydrogen hamiltonian, quantum angular momentum
07 Dec 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 19-20 : electronic orbitals of hydrogen, Stern-Gerlach experiment and electron spin
14 Dec 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 21-22 : singlet and triplet states, helium atom, mean field approximation
17 Dec 2021 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 23-24 : polyelectronic atoms, spectroscopic terms, periodic table
11 Jan 2022 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
lezione 25-26 : adiabatic approximation for molecules, hydrogen molecule and LCAO-MO
14 Jan 2022 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
Lezione 27-28: biatomic molecules, hybrid orbitals of carbon, polyatomic molecules
18 Jan 2022 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Both face to face and online
Lezione 29-30: molecular vibrations and rotations, molecular spectroscopy
25 Jan 2022 (2h 00m)
Giuseppe La Rocca - Course (teaching activity) - Online
Lezione 31-32 : basic elements of statistical physics, entropy, Boltzmann distribution, equipartition of energy, quantum statistics
08 Apr 2022 (2h 00m)
Stefano Luin - Supplementary teaching - Both face to face and online
Simulation of examinations: questions and exercises discussed as a group (photoelectric effect; estimation of dimension and energy of the ground state of hydrogen; observables, eigenvalues, expectation values, measurements)
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