Interaction Point of View

This lecture covers the theory of time-dependent perturbation theory in quantum physics II, focusing on the interaction point of view. The slides discuss perturbation theory, quantum states evolution, and the explicit time evolution of operators. Topics include the impact of disturbances on quantum systems and the perspective of temporal evolution in time. The instructor explains how operators evolve due to perturbations and oscillations, emphasizing the importance of understanding the interaction from a quantum physics perspective.

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PHYS-314: Quantum physics II

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

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.

Particle physics

Particle physics or high energy physics is the study of fundamental particles and forces that constitute matter and radiation. The fundamental particles in the universe are classified in the Standard Model as fermions (matter particles) and bosons (force-carrying particles). There are three generations of fermions, although ordinary matter is made only from the first fermion generation. The first generation consists of up and down quarks which form protons and neutrons, and electrons and electron neutrinos.

Fermi's golden rule

In quantum physics, Fermi's golden rule is a formula that describes the transition rate (the probability of a transition per unit time) from one energy eigenstate of a quantum system to a group of energy eigenstates in a continuum, as a result of a weak perturbation. This transition rate is effectively independent of time (so long as the strength of the perturbation is independent of time) and is proportional to the strength of the coupling between the initial and final states of the system (described by the square of the matrix element of the perturbation) as well as the density of states.

Quantum mechanics

Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales.

Quantum field theory

In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics. QFT is used in particle physics to construct physical models of subatomic particles and in condensed matter physics to construct models of quasiparticles. QFT treats particles as excited states (also called quanta) of their underlying quantum fields, which are more fundamental than the particles.

Quantum Physics II: Operator or Density Matrix PHYS-314: Quantum physics II

Explores operator, density matrix, subsystems, states, and system evolution in quantum physics.

Transition Probabilities in Perturbation Theory PHYS-314: Quantum physics II

Explores transition probabilities in first-order perturbation theory with time-dependent perturbations and disturbance theory.

Second Order Perturbation Transition Probabilities PHYS-314: Quantum physics II

Explores second-order perturbation theory in quantum physics for transition probabilities and rates.

Density Operators in Quantum Physics II PHYS-314: Quantum physics II

Explores density operators in quantum physics, emphasizing their role in describing quantum system states.

Quantum Bosons: Second Quantification PHYS-314: Quantum physics II

Explores perturbation theory, proper states, undegenerated states, and problem-solving in quantum bosons.