{"product_id":"9781783266395","title":"From Spinors To Quantum Mechanics","description":"\u003cp\u003e\u003ci\u003eFrom Spinors to Quantum Mechanics\u003c\/i\u003e discusses group theory and its use in quantum mechanics. Chapters 1 to 4 offer an introduction to group theory, and it provides the reader with an exact and clear intuition of what a spinor is, showing that spinors are just a mathematically complete notation for group elements. Chapter 5 contains the first rigorous derivation of the Dirac equation from a simple set of assumptions. The remaining chapters will interest the advanced reader who is interested in the meaning of quantum mechanics. They propose a novel approach to the foundations of quantum mechanics, based on the idea that the meaning of the formalism is already provided by the mathematics.\u003c\/p\u003e\u003cp\u003eIn the traditional approach to quantum mechanics as initiated by Heisenberg, one has to start from a number of experimental results and then derive a set of rules and calculations that reproduce the observed experimental results. In such an inductive approach the underlying assumptions are not given at the outset. The reader has to figure them out, and this has proven to be difficult. The book shows that a different, bottom-up approach to quantum mechanics is possible, which merits further investigation as it demonstrates that with the methods used, the reader can obtain the correct results in a context where one would hitherto not expect this to be possible.\u003c\/p\u003e\u003cb\u003eContents: \u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eIntroduction to Groups\u003c\/li\u003e\n\u003cli\u003eSpinors in the Rotation Group\u003c\/li\u003e\n\u003cli\u003eSpinors in the Homogeneous Lorentz Group\u003c\/li\u003e\n\u003cli\u003eThe Dirac Equation from Scratch\u003c\/li\u003e\n\u003cli\u003eTowards a Better Understanding of Quantum Mechanics\u003c\/li\u003e\n\u003cli\u003eThe Hidden-Variables Issue and the Bell Inequalities\u003c\/li\u003e\n\u003cli\u003eEquivalence of the Bohr-Sommerfeld and Dirac Theories for the Hydrogen Atom\u003c\/li\u003e\n\u003cli\u003eThe Problem of the Electron Spin within a Magnetic Field\u003c\/li\u003e\n\u003cli\u003eThe Double-Slit Experiment and the Superposition Principle\u003c\/li\u003e\n\u003cli\u003eA Caveat About the Limitations of Group Theory\u003c\/li\u003e\n\u003cli\u003eSpin and Angular Momentum as Vector and Bi-Vector Concepts\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students and researchers in the field of quantum mechanics.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eOffers an excellent introduction to the group theory covered\u003c\/li\u003e\n\u003cli\u003eContains a new approach to the foundations of quantum mechanics, with some interesting results\u003c\/li\u003e\n\u003cli\u003eCorrects a number of mathematical errors in the existing literature, e.g. in relation with the anomalous g-factor of the electron\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Imperial College Press","offers":[{"title":"Default Title","offer_id":47139917070576,"sku":"9781783266395","price":60.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781783266395_p0.jpg?v=1763724585","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781783266395","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}