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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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A Novel Approach to Relativistic Dynamics - Integrating Gravity, Electromagnetism and Optics (Hardcover, 1st ed. 2023)
Loot Price: R4,224
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A Novel Approach to Relativistic Dynamics - Integrating Gravity, Electromagnetism and Optics (Hardcover, 1st ed. 2023)
Series: Fundamental Theories of Physics, 210
Expected to ship within 12 - 19 working days
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This self-contained monograph provides a mathematically simple and
physically meaningful model which unifies gravity,
electromagnetism, optics and even some quantum behavior. The
simplicity of the model is achieved by working in the frame of an
inertial observer and by using a physically meaningful least action
principle. The authors introduce an extension of the Principle of
Inertia. This gives rise to a simple, physically meaningful action
function. Visualizations of the geometryare obtained by plotting
the action function. These visualizations may be used to compare
the geometries of different types of fields. Moreover, a new
understanding of the energy-momentum of a field emerges. The
relativistic dynamics derived here properly describes motion of
massive and massless objects under the influence of a gravitational
and/or an electromagnetic field, and under the influence of
isotropic media. The reader will learn how to compute the
precession of Mercury, the deflection of light, and the Shapiro
time delay. Also covered is the relativistic motion of binary
stars, including the generation of gravitational waves, a
derivation of Snell's Law and a relativistic description of spin.
We derive a complex-valued prepotential of an electromagnetic
field. The prepotential is similar to the wave function in quantum
mechanics. The mathematics is accessible to students after standard
courses in multivariable calculus and linear algebra. For those
unfamiliar with tensors and the calculus of variations, these
topics are developed rigorously in the opening chapters. The
unifying model presented here should prove useful to upper
undergraduate and graduate students, as well as to seasoned
researchers.
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