The Mathematical Beauty that led to Quantum Physics

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This course showcases the beautiful mathematics that, in the late 19th century/ early 20th century, led to the discovery of a revolutionary branch in physics: Quantum Mechanics.

Planck postulated that the energy of oscillators in a black body is quantized. This postulate was introduced by Max Planck in the derivation of his law of black body radiation in 1900. This assumption allowed Planck to derive a formula for the entire spectrum of the radiation emitted by a black body (we will also derive this spectrum in this course). Planck was unable to justify this assumption based on classical physics; he considered quantization as being purely a mathematical trick, rather than (as is now known) a fundamental change in the understanding of the world.

Calculus and Multivariable Calculus are a prerequisite to the course; other important mathematical tools (such as Fourier Series, Parseval’s theorem, binomial coefficients, etc.) will be recalled, with the emphasis being put on mathematical and physical insights rather than abstract rigour.

Who this course is for:

  • Students with a strong interest in mathematics and its beauty
  • Students who would like to improve their reasoning and insights in solving physical problems
  • The Students interested in the historical fascinating origin of Quantum Physics
  • Students interested in explanations given through the lens of mathematics

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