Lecture

Time-Independent Perturbation Theory: Degenerate Case

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In course

PHYS-314: Quantum physics II

The aim of this course is to familiarize the student with the concepts, methods and consequences of quantum physics. ...

Description

This lecture covers the theory of time-independent perturbations, focusing on the degenerate case. Topics include Fourier series, quantum physics, disturbance theory, lifting of degeneracy, Stark effect, electric field effects, and energy levels.

Instructors (3)

Florent Gérard Krzakala

Zoë Holmes

Teaching & PhD PhD Students Ricard Puig, Sacha Lerch, Reyhaneh Aghaei Saem, Shao Hen Chiew, Weijie Xiong, Marc Sanz Drudis, Mehrad Sahebi, Manuel Rudolph Courses Quantum information theory PHYS-550 After recapping the basics of quantum theory from an informationtheoretic perspective, we will cover more advanced topics inquantum information theory. This includes introducing measures of quantum information, and developing a more advanced understanding quantum states, channels and measurement

Vincenzo Savona

Vincenzo Savona studied physics in Pisa at the Scuola Normale Superiore and the University of Pisa, prior to completing his PhD at the EPFL's Institute of Theoretical Physics. Subsequently he did post-doctoral work, first at the EPFL and then in the physics department of the Humboldt University of Berlin. In 2002, he returned to the EPFL to create his own research group, receiving a "professeur boursier" fellowship from the Swiss National Science Foundation. In 2006, he was appointed tenure-track assistant professor at the EPFL and joined the NCCR for Quantum Photonics. In 2010 he was appointed associate professor. Currently he directs the Laboratory of Theoretical Physics of Nanosystems.

Official source

Related concepts (32)

Degenerate energy levels

In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. Conversely, two or more different states of a quantum mechanical system are said to be degenerate if they give the same value of energy upon measurement. The number of different states corresponding to a particular energy level is known as the degree of degeneracy (or simply the degeneracy) of the level.

Partition of India

The Partition of India in 1947 was the change of political borders and the division of other assets that accompanied the dissolution of the British Raj in the Indian subcontinent and the creation of two independent dominions in South Asia: India and Pakistan. The Dominion of India is today the Republic of India, and the Dominion of Pakistan—which at the time comprised two regions lying on either side of India—is now the Islamic Republic of Pakistan and the People's Republic of Bangladesh.

Quantum number

In quantum physics and chemistry, quantum numbers describe values of conserved quantities in the dynamics of a quantum system. Quantum numbers correspond to eigenvalues of operators that commute with the Hamiltonian—quantities that can be known with precision at the same time as the system's energy—and their corresponding eigenspaces. Together, a specification of all of the quantum numbers of a quantum system fully characterize a basis state of the system, and can in principle be measured together.

British Raj

The British Raj (rɑːdʒ ; from Hindi , 'kingdom', 'realm', 'state', or 'empire') was the rule of the British Crown on the Indian subcontinent; it is also called Crown rule in India, or Direct rule in India, and lasted from 1858 to 1947. The Indian Rebellion of 1857 led to the British Crown assuming direct control of India from the East India Company in the form of the new British Raj through the Government of India Act 1858.

Mathematical formulation of quantum mechanics

The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical formalism uses mainly a part of functional analysis, especially Hilbert spaces, which are a kind of linear space. Such are distinguished from mathematical formalisms for physics theories developed prior to the early 1900s by the use of abstract mathematical structures, such as infinite-dimensional Hilbert spaces (L2 space mainly), and operators on these spaces.

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Quantum Physics II: Time-Independent Perturbation Theory