Emerging quantum systems are disruptive technologies redefining computing and communication. Teaching quantum physics to engineers and educating scientists on engineering solutions are critical to address fundamental and engineering challenges of the quantum technologies. This course provides an introduction to various quantum technologies by overviewing laws of quantum physics, quantum systems and their engineering challenges. In particular, the course reviews various implementation of quantum communication and computation and basic science and engineering behind the technology.

Se aborda el estudio del universo físico analizando objetos en movimiento. Se definen y analizan todas las magnitudes y leyes físicas que permiten describir geométrica y causalmente el movimiento de cuerpos representados por un punto. Trataremos: Magnitudes físicas y álgebra vectorial Fundamentos de cinemática del punto Tipos de movimiento Dinámica del punto Trabajo y potencia Energía mecánica

A foundational study of waves and vibrations will prepare learners for advanced courses in physics and related fields of engineering. The skills utilized in analyzing these phenomena are applicable to many different systems because vibrations and waves are so ubiquitous. For instance, learners will understand how the “resonant” modes of a tall building are analogous to simple systems of coupled oscillators. Moreover, learners will come to appreciate that the concept of “resonance” applies not only to systems of masses on springs, but to sound waves, 2D surfaces, atoms, and a wide range of other systems. This course explores many properties that are universal to all wave systems as well as many particular cases. This course will prepare learners to analyze problems that involve mechanical vibrations and waves with such topics as simple harmonic motion, superposition, damping, forced vibrations and resonance, coupled oscillations, normal modes, continuous systems, reflection and refraction, and phase and group velocities. The course also explores electromagnetic waves and various associated properties like polarization, Snell’s law, Huygens’s principle, interference and diffraction. It ends by giving learners a taste of Quantum Mechanics.

The first part of the course concentrates on the requirements of operating a nuclear facility – initial licensing process and subsequent continuous regulatory control. Next, we will take a look at the international system of radiological protection and legal framework on nuclear safety, transport and transboundary movement of nuclear material. Finally, we will discuss the issues of illicit nuclear trafficking and nuclear terrorism.

Super-Earths And Life is a course about life on Earth, alien life, how we search for life outside of Earth, and what this teaches us about our place in the universe. In the past decade astronomers have made incredible advances in the discovery of planets outside our solar system. Thirty years ago, we knew only of the planets in our own solar system. Now we know of thousands circling nearby stars. Meanwhile, biologists have gained a strong understanding of how life evolved on our own planet, all the way back to the earliest cells. We can describe how simple molecules can assemble themselves into the building blocks of life, and how those building blocks might have become the cells that make up our bodies today. Super-Earths And Life is all about how these fields, astronomy and biology, together with geology, can help answer one of our most powerful and primal questions: are we alone in the universe? HarvardX requires individuals who enroll in its courses on edX to abide by the terms of the edX honor code: https://www.edx.org/edx-terms-service . HarvardX will take appropriate corrective action in response to violations of the edX honor code, which may include dismissal from the HarvardX course; revocation of any certificates received for the HarvardX course; or other remedies as circumstances warrant. No refunds will be issued in the case of corrective action for such violations. Enrollees who are taking HarvardX courses as part of another program will also be governed by the academic policies of those programs. HarvardX pursues the science of learning. By registering as an online learner in an HX course, you will also participate in research about learning. Read our research statement: http://harvardx.harvard.edu/research-statement to learn more. Harvard University and HarvardX are committed to maintaining a safe and healthy educational and work environment in which no member of the community is excluded from participation in, denied the benefits of, or subjected to discrimination or harassment in our program. All members of the HarvardX community are expected to abide by Harvard policies on nondiscrimination, including sexual harassment, and the edX Terms of Service. If you have any questions or concerns, please contact [email protected] and/or report your experience through the edX contact form: https://www.edx.org/contact-us .

Are you interested in investigating materials and their properties with unsurpassed accuracy and fidelity? Synchrotrons and XFELs (X-ray free-electron lasers) are considered to be Science’s premier microscopic tools. They're used in scientific disciplines as diverse as molecular biology, environmental science, cultural heritage, catalytical chemistry, and studies of the electronic properties of novel materials - to name but a few examples. This course provides valuable insights into this broad spectrum of scientific disciplines, from the generation of x-rays - via a description of the machines that produce intense x-ray sources - to modern experiments performed using these facilities.

Knowing the geometrical structure of the molecules around us is one of the most important and fundamental issues in the field of chemistry. This course introduces the two primary methods used to determine the geometrical structure of molecules: molecular spectroscopy and gas electron diffraction. In molecular spectroscopy, molecules are irradiated with light or electric waves to reveal rich information, including: Motions of electrons within a molecule (Week 1), Vibrational motions of the nuclei within a molecule (Week 2), and Rotational motions of a molecule (Week 3). In the gas electron diffraction method, molecules are irradiated with an accelerated electron beam. As the beam is scattered by the nuclei within the molecule, the scattered waves interfere with each other to generate a diffraction pattern. In week 4, we study the fundamental mechanism of electron scattering and how the resulting diffraction images reveal the geometrical structure of molecules. By the end of the course, you will be able to understand molecular vibration plays an important role in determining the geometrical structure of molecules and gain a fuller understanding of molecular structure from the information obtained by the two methodologies. FAQ Do I need to buy a textbook? No, you can learn the contents without any textbooks. However, if you hope to learn more on the subjects treated in this course, you are recommended to read the textbook introduced below: Kaoru Yamanouchi, “Quantum Mechanics of Molecular Structures,” Springer-Verlag, 2012.

This three-module sequence of courses covers advanced topics in quantum computation and quantum information, including quantum error correction code techniques; efficient quantum computation principles, including fault-tolerance; and quantum complexity theory and quantum information theory. Prior knowledge of quantum circuits and elementary quantum algorithms is assumed. These courses are the second part in a sequence of two quantum information science subjects at MIT. The three modules comprise: 8.371.1x : Quantum states, noise and error correction 8.371.2x : Efficient quantum computing - fault tolerance and complexity 8.371.3x: Advanced quantum algorithms and information theory This third 8.371.3x course module draws upon quantum complexity and quantum information theory, to cover in depth advanced quantum algorithms and communication protocols, including Hamiltonian simulation, the hidden subgroup problem, linear systems, and noisy quantum channels. A prior course (or strong background) in quantum mechanics is required. Knowledge of linear algebra is also strongly recommended, and other helpful math topics to know include probability and finite fields. This course has been authored by one or more members of the Faculty of the Massachusetts Institute of Technology. Its educational objectives, methods, assessments, and the selection and presentation of its content are solely the responsibility of MIT. For more information about MIT’s Quantum Curriculum, visit quantumcurriculum.mit.edu .

This is the fourth of a series of four modules that cover calculus-based mechanics. You will explore simple harmonic motion through springs and pendulums. This short course will culminate in the ability to use the Taylor Formula to approximate a variety of other situations as simple harmonic motion. The modules are based on material in MIT's Physics I, which is required for all MIT undergraduates, and is being offered as an XSeries on edX. Please visit the Introductory Mechanics XSeries Program Page to learn more and to enroll in all four modules. To understand the material in this course you should have taken Mechanics: Kinematics and Dynamics , Mechanics: Momentum and Energ y, and Mechanics: Rotational Dynamics .

From February 3 to May 28, 2020, we are offering Effective Field Theory in a Live Archive format. This means that the course features and materials will once again all be available, staff will engage with learners in the discussion forum, and there will be updates to the course content. ----------------- 8.EFTx is an online version of MIT's graduate Effective Field Theory course. The course follows the MIT on-campus class 8.851 as it was given by Professor Iain Stewart in the Fall of 2013, and includes his video lectures, resource material on various effective theories, and a series of problems to facilitate learning the material. Anyone can register for the online version of the course. When the course is being taught on campus, students at MIT or Harvard may also register for 8.851 for course credit. Effective field theory (EFT) provides a fundamental framework to describe physical systems with quantum field theory. In this course you will learn both how to construct EFTs and how to apply them in a variety of situations. We will cover the majority of the common tools that are used by different effective field theories. In particular: identifying degrees of freedom and symmetries, formulating power counting expansions (both dimensional and non-dimensional), field redefinitions, bottom-up and top-down effective theories, fine-tuned effective theories, matching and Wilson coefficients, reparameterization invariance, and various examples of advanced renormalization group techniques. Examples of effective theories we will cover are the Standard Model as an effective field theory, integrating out the massive W, Z, Higgs, and top, chiral perturbation theory, non-relativistic effective field theories including those with a large scattering length, static sources and Heavy Quark Effective Theory (HQET), and a theory for collider physics, the Soft-Collinear Effective Theory (SCET). Course Flow Since this is an advanced graduate physics course, you will find that self-motivation and interaction with others is essential to learning the material. The purpose of the online course is to set you up with a foundation, to teach you to speak the language of EFT, and to connect you with other students and researchers that are interested in learning or broadening their exposure to this subject. Each week you will complete automatically graded homework problems to test your understanding and to help you master the material. You are expected to discuss the homework with other people in the class, but your online responses must be done individually. To facilitate these interactions there will be a forum for student-to-student discussions, with threads to cover different topics, and moderators with experience in this field. Student learning and discussions will also be prompted by questions posed after each lecture topic. There will be no tests or final exam, but at the end of the course each student will give a 30-minute presentation on an EFT topic of their choosing. The subject of effective field theory is rich and diverse, and far broader than we will be able to cover in a single course. The presentations will create an opportunity for you to learn about additional subjects beyond those in lecture from your fellow students. To facilitate this learning opportunity, each student will be required to watch and grade five presentations from among their fellow students. Since this is a graduate course, we anticipate that learning the subject and having the 8.EFTx materials available as an online resource will be more valuable to most of you than obtaining a grade. Therefore anyone who registers for the course will be able to retain access to the course materials after the course has ended. Note that when the course is archival mode that the problems can be attempted and checked in the same manner as when the course was running.