Everand Logo

Welcome to Everand!

  • Discover millions of ebooks, audiobooks, and so much more with a free trial

    Only $11.99/month after trial. Cancel anytime.

    A Mathematical Introduction to Dirac's Formalism
    A Mathematical Introduction to Dirac's Formalism
    A Mathematical Introduction to Dirac's Formalism
    Ebook374 pages10 hours

    A Mathematical Introduction to Dirac's Formalism

    By S.J.L. van Eijndhoven and J. de Graaf

    ()

    Read preview

    About this ebook

    This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part.

    The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.

    LanguageEnglish
    PublisherElsevier Science
    Release dateOct 1, 1986
    ISBN9780080880211
    A Mathematical Introduction to Dirac's Formalism

    Related to A Mathematical Introduction to Dirac's Formalism

    Titles in the series (32)

    View More
    View More

    Related ebooks

    Physics For You

    View More
    View More

    Related podcast episodes

    Related articles

    • Article

      Why Mathematicians Should Stop Naming Things After Each Other

      Sep 2, 2020

      Any student of modern math must know what it feels like to drown in a well of telescoping terminology. For a high-profile example, let’s take the Calabi-Yau manifold, made famous by string theory. A Calabi-Yau manifold is a compact, complex Kähler ma

      6 min read

    • Article

      Physicists Attack Math’s $1,000,000 Question

      Apr 4, 2017

      Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.

      4 min read

    • Article

      The Math That Takes Newton Into the Quantum World

      Feb 28, 2019

      In my 50s, too old to become a real expert, I have finally fallen in love with algebraic geometry. As the name suggests, this is the study of geometry using algebra. Around 1637, René Descartes laid the groundwork for this subject by taking a plane,

      9 min read

    • Article

      How Black Holes Nearly Ruined Time

      Jan 24, 2019

      An Introduction to the Black Hole Institute Fittingly, the Black Hole Initiative (BHI) was founded 100 years after Karl Schwarzschild solved Einstein’s equations for general relativity—a solution that described a black hole decades before the first a

      6 min read

    • Article

      The Quantum Mechanics of Fate: How time travel might explain some of science’s biggest puzzles.

      Jan 30, 2014

      The objective world simply is, it does not happen,” wrote mathematician and physicist Hermann Weyl in 1949. From his point of view, the universe is laid out in time as surely as it is laid out in space. Time does not pass, and the past and future are

      6 min read

    • Article

      When Gravity Breaks Down

      Feb 15, 2019

      When Gravity Breaks Down
      5 min read

    • Article

      The Sacred, Spherical Cows of Physics: Theoretical physics milks symmetry to power its newest tool.

      May 1, 2014

      Early in their training, many physics students come across the idea of spherical cows. Cows in the real world—even at their most plump and well-fed—are hardly spherical, and this makes it tricky to calculate things like, say, how their volume or surf

      11 min read

    • Article

      The Strange Similarity of Neuron and Galaxy Networks

      Jul 25, 2019

      Christof Koch, a leading researcher on consciousness and the human brain, has famously called the brain “the most complex object in the known universe.” It’s not hard to see why this might be true. With a hundred billion neurons and a hundred trillio

      6 min read

    • Article

      The Search For Wormholes

      Aug 11, 2022

      The Search For Wormholes
      11 min read

    • Article

      With Prof Brain Greene

      Dec 31, 2016

      Theoretical physicist Brian Greene has spent his life understanding the gravity of the smallest questions of our Universe. A world leader in superstring theory, Prof Greene is the Director of the Institute for Strings, Cosmology, and Astroparticle Ph

      6 min read

    • Article

      Actually, There Is a Time Like the Present

      Nov 30, 2017

      We’ve all heard it before: There’s no time like the present. Broadly speaking, of course, it means to “seize the opportunity right now,” or maybe in my case, to avoid procrastinating. From a psychological perspective, this makes a lot of sense. As hu

      4 min read

    • Article

      A Brief History of the Grand Unified Theory of Physics

      Mar 16, 2017

      Particle physicists had two nightmares before the Higgs particle was discovered in 2012. The first was that the Large Hadron Collider (LHC) particle accelerator would see precisely nothing. For if it did, it would likely be the last large accelerator

      18 min read

    • Article

      Let’s Rethink Space: Does space exist without objects, or is it made by them?

      Jan 14, 2016

      Space is brutally egalitarian. When you become separated from your lover, the two of you retain no tighter a physical connection than do two lumps of coal. In this way, space serves as the organizing principle of the natural world—the glue that binds

      26 min read

    • Article

      The Metaphysical Baggage of Physics: Lee Smolin argues that time is more fundamental than physical laws.

      Jan 30, 2014

      An issue on time would not be complete without a conversation with Lee Smolin. High school dropout, theoretical physicist, and founding member of the Perimeter Institute for Theoretical Physics in Waterloo, Canada, Smolin’s life and work reflect many

      7 min read

    • Article

      How the Universe Remembers Information

      Feb 28, 2019

      It was one of the great missed connections of physics. In 1965 a particle theorist derived a formula for the collision of elementary particles. Twenty years later two gravitation theorists, using completely different techniques, derived a formula for

      6 min read

    • Article

      The Theory Of Gravity

      Jan 20, 2022

      The Theory Of Gravity
      1 min read

    • Article

      Physics Has Demoted Mass

      Nov 9, 2017

      You’re sitting here, reading this article. Maybe it’s a hard copy, or an e-book on a tablet computer or e-reader. It doesn’t matter. Whatever you’re reading it on, we can be reasonably sure it’s made of some kind of stuff: paper, card, plastic, perha

      10 min read

    Related categories

    Reviews for A Mathematical Introduction to Dirac's Formalism

    0 ratings

    0 ratings0 reviews

    What did you think?

    Tap to rate

    Review must be at least 10 words

      Book preview

      A Mathematical Introduction to Dirac's Formalism - S.J.L. van Eijndhoven

      Enjoying the preview?
      Page 1 of 1