# Vector problem assignments enriched physics

Physiology and organs; Chemistry of life; Noncovalent interactions; Hydrogen bonds; Solvation; Biochemistry: reactions, catalysis, ATP amino acids, nucleic acids, lipids; Cell structures: Nucleus, mitochondria, chromosomes, membranes; Basic paradigm: DNA makes RNA makes protein; How cell machines and circuits work; Cell cycle; The processes of evolution; Genetics and heredity; Diseases: how biological systems fail; How drugs are discovered; Tight-binding inhibitors; Antibodies; Current research: Cell division and cancer, genomics, bioinformatics, high throughput sequencing, systems and synthetic biology.

Introduction to the theory of lasers including resonance conditions, normal modes, optical cavities and elementary quantum mechanics. Description of types of lasers, methods of control, limitations of power, precision, wavelength, etc. Applications to research and industry.

Throughout the course, there will be many problems that involve writing computer programs to solve simple differential equations and model different aspects of laser operation. Quantum electronics is a synthesis of quantum physics and electrical engineering, and is introduced in two independent semesters.

This course focuses on the quantum properties of light. The quantized electromagnetic field and its correlations are used to understand nonclassical states from various sources such as two-level atoms and nonlinear systems interacting with radiation fields. This seminar allows students to explore the fine points of topics normally covered in high school physics.

Not for PhD credit. The course reviews vector calculus and develops Maxwell's equations relating electric and magnetic fields to their sources. Applications for time-independent fields are developed for solving boundary value problems and the interactions of fields in bulk matter. An oral presentation of a relevant topic suitable for a high-school class is required.

The Newtonian formulation of classical mechanics is reviewed and applied to more advanced problems than those considered in introductory physics. The Lagrangian and Hamiltonian methods are then derived from the Newtonian treatment and applied to various problems. This course consists of two parts. Those relations among the properties of systems at thermal equilibrium that are independent of a detailed microscopic understanding are developed by use of the first and second laws of thermodynamics. The concepts of temperature, internal energy and entropy are analyzed.

The thermodynamic potentials are introduced. Applications to a wide variety of systems are made. The second portion of the course, beginning with the kinetic theory of gases, develops elementary statistical mechanics, relates entropy and probability, and treats simple examples in classical and quantum statistics. Physical and mathematical foundations of quantum mechanics. Maxwell waves and their properties: intensity, energy density, and momentum density. Planck-Einstein relation between energy and frequency for light quanta. De Broglie relation between momentum and wavelength.

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## Calculus and Vectors MCV4U Online Course - Virtual High School (Ontario)

Number density and probability density of photons. One-photon quantum mechanics, with Maxwell field as wave function. Diffraction phenomena. Uncertainty relation between wavelength and position, hence between momentum and position. In addition to the requirements for the undergraduate course PHY , students taking this course must prepare and present a talk on quantum physics suitable for a general non-physics adult audience. This course cannot be taken for credit toward the PhD degrees in Physics.

Approval of the Program Director is required for taking this course for credit toward a Master Degree. The concepts, historical development and mathematical methods of quantum mechanics. Topics include Schroedinger's equation in time-dependent and time-independent forms, and one- and three-dimensional solutions, including the treatment of angular momentum and spin. Applications to simple systems, especially the hydrogen atom, are stressed. An oral presentation of a relevant topic suitable for a high school class is required.

Topics of current interest to high school teachers are discussed in order to bring the teachers up to date on the latest developments in various areas of research. Examples could include the standard model of particle physics, nanofabrication techniques, atomic force microscopy, etc. Optical science students experience three to eight week periods in each of several appropriate research groups.

## Croom Physics

At the end of each period a report is required that describes the topics studied or project done. May not be taken for credit more than two semesters. A two-semester course in which students spend at least 8 weeks in each of three different laboratories actively participating in the research of faculty associated with the Laufer Center. At least one of the rotations must be in experimental physical biology. Participants will give a research talk at the end of each eight week period.

Independent research for Master's degree students. Open only to those approved by individual faculty for thesis work. This course also includes a minimum of two hours person to person discussion of ethics and conduct in research and scholarship which addresses among others integrity in scholarship, academic honesty, authorship, plagiarism, mentoring and collaborations.

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These topics will be illustrated with case studies and issues that arise in current research projects. Special research topics centered on monographs, conference proceedings, or journal articles. Topics include solid-state physics, atomic physics, quantum optics and applications of synchroton radiation. Required for all first-year graduate students. Topics include elementary particles, nuclear physics, galactic and extragalactic astronomy, and cosmology and accelerator physics. This course provides hands-on experience in teaching.

Activities may include classroom teaching, preparation and supervision of laboratory experiments, exams, homework assignments, and projects. This course provides an introduction to group theory and discusses topics that are important for applications in physics. Additional topics such as Kac-Moody algebras, Virasoro algebras, symmetric spaces, supergroups and their invariant measure may be discussed as well.

This course discusses numerical methods used in physics and astrophysics. Topics include but are not limited to the following: Numerical integration and differentiation, differential equations, interpolation, root-finding, linear algebra, eigenvalues, Fourier transforms, Monte Carlo methods, hyperbolic and parabolic partial differential equations, parallel computing. All methods will be illustrated by examples from physics or astrophysics.

Quantization of relativistic fields: Lorentz and gauge symmetries, relativistic spin, the S-matrix and scattering; the standard model; perturbation theory, renormalization and effective field theories; path integrals and relations to condensed matter physics.

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Applications of quantum field theory to interactions between elementary particles. Topics are chosen from perturbative quantum chromodynamics, the standard electro-weak model, lattice field theory, grand unified models, supersymmetry, and current research problems. This course is a continuation of PHY and prepares students for research in theoretical particle physics.

Topics that will be discussed include the properties of Quantum Chromodyanamics, Electorweak Symmetry Breaking, Cabbibbo-Kobayahi-Maskawa quark mixing, Effective Field theory, Neutrino masses, the hierarchy problems, dark matter, early universe cosmology and primordial nucleosynthesis.

Physics beyond the standard model will be discussed as well including models of quark and lepton masses, grand unified theories and baryon number violation. Semesters Offered: Spring and. General theory of relativity; tensor analysis, Einstein's field equations, experimental tests, black holes, gravitational waves, cosmology. May also include topics such as spinor methods, conformal invariance, and introduction to string theory or supergravity. Proofs of renormalizability and unitarity on non-Abelian guage theories using modern methods of Becchi-Rouet-Store-Tyutin BRST symmetry; descent equations for anomalies; classical instantons and their quantum corrections, including integration over zero modes; background field methods, other topics if time permits.

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A weekly seminar on advanced theoretical concepts. The discussion starts with a graduate student presentation and it is conducted under the guidance of a faculty supervisor. Presentation of preliminary research results and current research problems by students and faculty. Required every semester of all astronomy graduate students.

The goal of this course is for students to hone critical reading and analytic skills through discussions of literature in the area of Computational Biology. Participants take turn being a "discussion leader" who informally guides the group through a peer-reviewed manuscript for which all Journal Club members will have to read in advance of the meeting.

A weekly seminar concentrating on observational and theoretical studies of cool stars and related objects. Emphasis is on ongoing research and recent results in this area. Speakers include faculty, students, and visitors. Students registering for one credit will be expected to present at least one seminar. A weekly series of research seminars presented by visiting scientists as well as by the faculty. A weekly seminar concentrating on topics in nuclear astrophysics, including dynamics of supernova collapse, structure and evolution of neutron stars, equation of state, the role of neutrinos in nucleosynthesis, etc.