Probability and Statistics, Mechanics and Relativity, Quantum Physics.

CB1. Students have demonstrated knowledge and understanding in a field of study that builds upon their general secondary education, and is typically at a level that, whilst supported by advanced textbooks, includes some aspects that will be informed by knowledge of the forefront of their field of study CB2. Students can apply their knowledge and understanding in a manner that indicates a professional approach to their work or vocation, and have competences typically demonstrated through devising and sustaining arguments and solving problems within their field of study CB3. Students have the ability to gather and interpret relevant data (usually within their field of study) to inform judgments that include reflection on relevant social, scientific or ethical issues CB4. Students can communicate information, ideas, problems and solutions to both specialist and non-specialist audiences CB5. Students have developed those learning skills that are necessary for them to continue to undertake further study with a high degree of autonomy CG2. Learn new methods and technologies from basic scientific and technical knowledge, and being able to adapt to new situations. CG3. Solve problems with initiative, decision making, creativity, and communicate and transmit knowledge, skills and abilities, understanding the ethical, social and professional responsibility of the engineering activity. Capacity for leadership, innovation and entrepreneurial spirit. CG4. Solve mathematical, physical, chemical, biological and technological problems that may arise within the framework of the applications of quantum technologies, nanotechnology, biology, micro- and nano-electronics and photonics in various fields of engineering. CG5. Use the theoretical and practical knowledge acquired in the definition, approach and resolution of problems in the framework of the exercise of their profession. CE13. Understand and handle solid state physical principles relevant to engineering and, in particular, semiconductors for application in electronic and photonic components, as well as the fundamentals and applications of analog and digital electronics and microprocessors. CE15. Understand and handle the physical principles associated with light-matter interaction and to apply them to the use and design of various photonic devices and complete photonic systems, as well as to apply photonic devices and systems in different branches of physics, engineering and biology. CE17. Understand and handle the fundamental concepts of Quantum Physics, its relationship with Classical Physics, and its application to the understanding of the physics of atoms and molecules, as well as solving simple one- and three-dimensional quantum problems and applying approximate resolution methods. CE18. Understand and handle the fundamental concepts of Statistical Physics and their relationship with macroscopic reality, the statistics of classical and quantum systems, and the application of these statistics to relevant situations in Physics and Engineering. CT1. Work in multidisciplinary and international teams as well as organize and plan work making the right decisions based on available information, gathering and interpreting relevant data to make judgments and critical thinking within the area of study. RA1. To have acquired sufficient knowledge and proved a sufficiently deep comprehension of the basic principles, both theoretical and practical, and  methodology of the more important fields in science and technology as to be able to work successfully in them; RA2. To be able, using arguments, strategies and procedures developed by themselves, to apply their knowledge and abilities to the successful solution of complex technological problems that require creating and innovative thinking; RA3. To be able to search for, collect and interpret relevant information and data to back up their conclusions including, whenever needed, the consideration of any social, scientific and ethical aspects relevant in their field of study; RA6. To be aware of their own shortcomings and formative needs in their field of specialty, and to be able to plan and organize their own training with a high degree of independence.

1. Foundations of Statistical Physics. - Microscopic and macroscopic states. - Thermodynamic limit. - Phase space. - Liouville's theorem. 2. Microcanonical ensemble - Equilibrium of an isolated system. - Entropy and the second Principle of Thermodynamics. - Application to the ideal gas and the two state system. - First Principle of Thermodynamics. 3. Canonical and Grand canonical ensembles - Equilibrium of a system with an energy reservoir and an energy and particle reservoir. - Partition Function. - Density Matrix. - Fluctuations. - Maximizing Entropy. - Free Energy. - System of Harmonic Oscillators. - Application to Paramagnetism. 4. Classical Gases. - Ideal Gas. - Equipartition Theorem. - Virial Theorem. - Gibbs Paradox. - Maxwell Distribution. Maxwell-Boltzmann Statistics. - Diatomic Gas. 5. Quantum Gases I. - Density of States. - Relativistic Systems. - Photon Gas. - Phonon Gas. 6. Quantum Gases II. - Bosons and Fermions. - Bose-Einstein statistics. - Ideal Bose Gas. - Bose-Einstein condensates. - Fermi-Dirac statistics. - Ideal Fermi Gas. - Electron Gas.

AF1. THEORETICAL-PRACTICAL CLASSES. Weekly sessions of 100 minutes, divided in two 50 minutes parts with a break, where the theoretical concepts are explained. Students will have basic reference texts to facilitate the understanding of the classes. In the recitations the problems and activities proposed after the theoretical sessions are solved and discussed. There will be mid term tests for evaluating the competences and skills acquired by the students and for helping them improving their learning strategies. This entails 22 hours in face-to-face sessions for 3 ECTS courses. AF2. TUTORING SESSIONS. Every week there will be a one hour face-to-face tutoring session available for students in the subject webpage. AF3. STUDENT INDIVIDUAL WORK OR GROUP WORK. Student's individualized work is fundamental for understanding results, proofs and exercises and develop problem solving skills. Discussing concepts and solving problems in small groups of students is an excellent complementary activity for improving teamwork competences and for self-assessment. AF9. FINAL EXAM. Global assessment of knowledge, skills and capacities acquired throughout the course. It entails 4 hours 100% on-site. MD1. THEORY CLASS. Classroom presentations by the teacher on the blackboard or with IT and audiovisual support in which the subject's main concepts are developed and where material and bibliography to complement student learning is provided. MD2. PRACTICAL CLASS. Resolution of practical cases and problem, posed by the teacher, and carried out individually or in a group. MD3. TUTORING SESSIONS. Individual or in-group tutorial sessions for the resolution of doubts by the teacher. MD6. LABORATORY PRACTICAL SESSIONS. Applied/experimental learning in workshops and laboratories under the tutor's supervision.