ITA | ENG
B020976 - ELEMENTS OF MODERN PHYSICS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Type of Assessment
Course program
Academic Year 2017-18
Coorte 2016 - Second Cycle Degree in MATHEMATICS
Course year
Second year - First Semester
Belonging Department
Mathematics and Computer Science "Ulisse Dini" (DIMAI)
Course Type
Single education field course
Scientific Area
FIS/02 - THEORETICAL PHYSICS, MATHEMATICAL MODELS AND METHODS
Credits
9
Teaching Hours
72
Teaching Term
18/09/2017 ⇒ 22/12/2017
Attendance required
No
Type of Evaluation
Final Grade
Course Content
show
Course program
show
Lectureship
Teaching Language
Italian or English.
Course Content
Introduction to Quantum Mechanics. Scroedinger equation. Hilbert spaces. Axioms of quantum mechanics, uncertainty principle. Tunnel effect. Hydrogen atom. The spin. Pauli's exclusion principle.
Introduction to special relativity. Axioms of special relativity. Relativistic kinematics. The structure of Minkowski space-time. The Lorentz and Poincare' groups. Relativistic
mechanics. Equivalence between mass and energy. Relativistic electrodynamics.
Introduction to special relativity. Axioms of special relativity. Relativistic kinematics. The structure of Minkowski space-time. The Lorentz and Poincare' groups. Relativistic
mechanics. Equivalence between mass and energy. Relativistic electrodynamics.
Suggested readings (Search our library's catalogue)
D. J. Griffiths, Introduzione alla meccanica quantistica, Ed. CEA.
A. Messiah, Quantum Mechanics, Ed. North-Holland.
C. Cohen-Tannoudji, B. Dui, F. Laloe, Quantum Mechanics, Ed. Wiley.
L. Debnath, P. Mikusinski, "Hilbert Spaces with Applications", Ed. Elsevier.
D. Colferai: Appunti di relativita' speciale.
C. Möller: The theory of relativity, Oxford at the Clarendon press.
W. Rindler: Essential relativity, special, general and cosmological, Springer-Verlag.
A. Messiah, Quantum Mechanics, Ed. North-Holland.
C. Cohen-Tannoudji, B. Dui, F. Laloe, Quantum Mechanics, Ed. Wiley.
L. Debnath, P. Mikusinski, "Hilbert Spaces with Applications", Ed. Elsevier.
D. Colferai: Appunti di relativita' speciale.
C. Möller: The theory of relativity, Oxford at the Clarendon press.
W. Rindler: Essential relativity, special, general and cosmological, Springer-Verlag.
Learning Objectives
Knowlegde of basic concepts of quantum mechanics and special relativity.
Prerequisites
None.
Teaching Methods
CFU: 9
Contact hours for: Lectures (hours): 72
Contact hours for: Lectures (hours): 72
Type of Assessment
Oral exam.
Course program
Introduction to Quantum Mechanics.
Classical physics crisis. Scroedinger equation, wave function, probability. Hilbert spaces and linear operators. Axioms of quantum mechanics, Heisenberg's uncertainty principle. One dimensional problems, tunnel effect. Quantization of angular momenta. Hydrogen atom. The spin. Identical particles and Pauli's exclusion principle. Interpretation and paradoxes of quantum mechanics.
Introduction to special relativity.
Axioms of newtonian mechanics, equations of electromagnetism. Axioms of special relativity. Relativistic kinematics. The structure of Minkowski space-time. The Lorentz and Poincare' groups. Tensor calculus. Relativistic mechanics. Equivalence between mass and energy. Relativistic electrodynamics.
Classical physics crisis. Scroedinger equation, wave function, probability. Hilbert spaces and linear operators. Axioms of quantum mechanics, Heisenberg's uncertainty principle. One dimensional problems, tunnel effect. Quantization of angular momenta. Hydrogen atom. The spin. Identical particles and Pauli's exclusion principle. Interpretation and paradoxes of quantum mechanics.
Introduction to special relativity.
Axioms of newtonian mechanics, equations of electromagnetism. Axioms of special relativity. Relativistic kinematics. The structure of Minkowski space-time. The Lorentz and Poincare' groups. Tensor calculus. Relativistic mechanics. Equivalence between mass and energy. Relativistic electrodynamics.