Geometric Algebra and Applications to Physics

ISBN-13: 9780367389789 / Angielski / Miękka / 2019 / 184 str.

Venzo de Sabbata; Bidyut Kumar Datta

Opis

Bringing geometric algebra to the mainstream of physics pedagogy, this book presents geometric algebra as a discipline within mathematical physics and shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. It introduces the essential features of postulates and their underlying framework; bivectors, multivectors, and their operators; spinor and Lorentz rotations; and Clifford algebra, extending some of these topics into three dimensions. Well-known for their research in general relativity, the authors cover Maxwell's equations, electromagnetic waves' states of polarization, the Dirac equation, wave functions, fiber bundles, and the quantization of gravity.

Spis treści

The Basis for Geometric Algebra. Multivectors. Euclidean Plane. The Pseudoscalar and Imaginary Unit. Real Dirac Algebra. Spinor and Quaternion Algebra. Maxwell Equations. Electromagnetic Field in Space and Time (Polarization of Electromagnetic Waves). General Observations and Generators of Rotations (Neutron Interferometer Experiment). Quantum Gravity in Real Space-Time (Commutators and Anticommutators).

O autorze

de Sabbata, Venzo; Datta, Bidyut Kumar