TL;DR
This paper introduces modern mathematical physics by exploring electromagnetism, quantum mechanics, relativity, and differential geometry, emphasizing intrinsic formulations and the electromagnetic bundle U(1).
Contribution
It provides an integrated, geometric perspective on electromagnetism and related physical theories, combining classical and quantum approaches in a comprehensive manner.
Findings
Unified geometric formulation of electromagnetic laws
Insight into the covariant derivative in gravitation
Explanation of the electromagnetic bundle U(1)
Abstract
This work is an introduction to modern mathematical physics. We begin with Maxwell laws and vector calculus, pass next to consider the action and the Feynman integral in quantum mechanics, next relativity and differential geometry to formulate the electromagnetic laws in intrinsic form. Next we see gravitation to study the covariant derivative. We end with the electromagnetic bundle U(1). It contains the know-how + the know-why. The text is written in Spanish. 340 pps.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies