This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while...

Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level?The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and ...

At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wr...

From award-winning physicist, public intellectual, and the bestselling author of A Universe from Nothing Lawrence Krauss, comes “a masterful blend of history, modern physics, and cosmic perspective that empowers the reader to not only embrace our understanding of the universe, but also revel in what remains to be discovered” (Neil deGrasse Tyson, American Museum of Natural History).In this grand poetic vision of the universe, Lawrence Krauss tells the dram...

A New York Times Notable Book: A particle physicist's "engaging and remarkably clear" look at the dimensions that may exist beyond the ones we know ( The New York Times Book Review).The universe has many secrets. It may hide additional dimensions of space other than the familiar three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now.Warped Passages is a brilliantly readabl...

'A primer for the magical, near inexplicable world of quantum mechanics... Mind-blowing' Dara Ó BriainQuantum theory is so shocking that Einstein could not bring himself to accept it. It is so important that it underpins all modern sciences. Without it, we'd have no molecular biology, no understanding of DNA, no genetic engineering, no computers.A century after the development of quantum mechanics, In Search of Schrödin...

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators...

Twenty years after Stephen Hawking's 9-million-copy selling A Brief History of Time, pioneering theoretical physicist Sean Carroll takes our investigation into the nature of time to the next level. You can't unscramble an egg and you can't remember the future. But what if time doesn't (or didn't!) always go in the same direction? Carroll's paradigm-shifting research suggests that other universes experience time running in the opposite direction to our own. Exploring subjects from ...

**Two world-renowned scientists present an audacious new vision of the cosmos that “steals the thunder from the Big Bang theory.” —**Wall Street JournalThe Big Bang theory—widely regarded as the leading explanation for the origin of the universe—posits that space and time sprang into being about 14 billion years ago in a hot, expanding fireball of nearly infinite density. Over the last three decades the theory has been repeatedly revised to address such is...

"A worthy addition to the Feynman shelf and a welcome follow-up to the standard-bearer, James Gleick's Genius." —Kirkus ReviewsPerhaps the greatest physicist of the second half of the twentieth century, Richard Feynman changed the way we think about quantum mechanics, the most perplexing of all physical theories. Here Lawrence M. Krauss, himself a theoretical physicist and a best-selling author, offers a unique scientific biography: a rollicking narrative coupled ...

An understanding of nature's final laws may be within our grasp - a way of explaining forces and symmetries and articles that does not require further explanation. 'This starting point, to which all explanations can be traced, is what I mean by a final theory', says Steven Weinberg in this extraordinary book. In it he discusses beauty, the weakness of philosophy, the best ideas in physics and the honour of accepting a world without god.

Modern physics is heady stuff. It seems that barely a week goes by without some new astounding science story; some revelation about hidden dimensions, multiple universes, the holographic principle or incredible cosmic coincidences. But is it true? What evidence do we have for super-symmetric squarks', or superstrings vibrating in an 11-dimensional space-time? How do we know that we live in a multiverse? How can we tell that the universe is a hologram projected from information encoded on i...