The Mathematical Beauty that led to Quantum Physics

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The Mathematical Beauty that led to Quantum Physics [TutsNode.com] - The Mathematical Beauty that led to Quantum Physics 05 Derivation of the Stefan-Boltzman Law
  • 009 Deriving the Stefan-Boltzmann Law part1.mp4 (230.5 MB)
  • 009 Deriving the Stefan-Boltzmann Law part1.en.srt (12.2 KB)
  • 007 Calculation of the Series 1_n^4.en.srt (11.1 KB)
  • 002 Energy per Volume per Wavelength and Energy per Volume.en.srt (9.3 KB)
  • 001 Classical vs Quantum.en.srt (7.8 KB)
  • 003 Planck's Integral.en.srt (7.6 KB)
  • 010 Deriving the Stefan-Boltzmann Law part2.en.srt (6.6 KB)
  • 005 Parseval's Theorem.en.srt (4.8 KB)
  • 006 Ultraviolet Catastrophe and Energy per Unit Surface.en.srt (4.5 KB)
  • 004 Brief Summary of Fourier Analysis.en.srt (4.0 KB)
  • 008 Putting Results Together.en.srt (2.5 KB)
  • 007 Calculation of the Series 1_n^4.mp4 (199.5 MB)
  • 002 Energy per Volume per Wavelength and Energy per Volume.mp4 (166.0 MB)
  • 001 Classical vs Quantum.mp4 (144.7 MB)
  • 003 Planck's Integral.mp4 (142.4 MB)
  • 010 Deriving the Stefan-Boltzmann Law part2.mp4 (126.9 MB)
  • 005 Parseval's Theorem.mp4 (90.2 MB)
  • 006 Ultraviolet Catastrophe and Energy per Unit Surface.mp4 (83.8 MB)
  • 004 Brief Summary of Fourier Analysis.mp4 (76.7 MB)
  • 008 Putting Results Together.mp4 (43.9 MB)
01 Introduction
  • 001 Introduction.en.srt (2.8 KB)
  • 002 Introduction to the blackbody problem.en.srt (5.7 KB)
  • 003 Definition of blackbody.en.srt (3.8 KB)
  • 002 Introduction to the blackbody problem.mp4 (113.8 MB)
  • 003 Definition of blackbody.mp4 (77.6 MB)
  • 001 Introduction.mp4 (54.7 MB)
03 Quantization_ Systems of Particles
  • 002 Systems of Particles, Binomial Coefficient.en.srt (10.2 KB)
  • 004 Sterling's Approximation.en.srt (8.0 KB)
  • 005 Preparing to maximize the Number of Arrangements.en.srt (6.8 KB)
  • 003 Number of Arrangements of the Particles into the Energy Levels.en.srt (4.6 KB)
  • 001 Distribution of the Average Energy, Planck's idea.en.srt (3.4 KB)
  • 002 Systems of Particles, Binomial Coefficient.mp4 (159.8 MB)
  • 004 Sterling's Approximation.mp4 (146.1 MB)
  • 005 Preparing to maximize the Number of Arrangements.mp4 (127.9 MB)
  • 003 Number of Arrangements of the Particles into the Energy Levels.mp4 (83.3 MB)
  • 001 Distribution of the Average Energy, Planck's idea.mp4 (66.6 MB)
04 Derivation of the Average Energy per Mode
  • 002 Expression for the Energy per Mode.en.srt (9.8 KB)
  • 004 Calculation of the Average Energy per Mode part 1.en.srt (8.0 KB)
  • 001 Maximizing the Number of Arrangements.en.srt (7.7 KB)
  • 005 Calculation of the Average Energy per Mode part 2.en.srt (7.6 KB)
  • 003 Planck's Mathematical Trick.en.srt (3.9 KB)
  • 002 Expression for the Energy per Mode.mp4 (179.3 MB)
  • 005 Calculation of the Average Energy per Mode part 2.mp4 (159.5 MB)
  • 004 Calculation of the Average Energy per Mode part 1.mp4 (152.0 MB)
  • 001 Maximizing the Number of Arrangements.mp4 (142.1 MB)
  • 003 Planck's Mathematical Trick.mp4 (81.4 MB)
02 Analysis of blackbody cavities
  • 002 Wave equation for Electromagnetic Waves.en.srt (3.0 KB)
  • 004 Satisfaction of Boundary Conditions.en.srt (7.8 KB)
  • 005 Number of Modes per Frequency.en.srt (6.6 KB)
  • 006 Average Energy per Mode.en.srt (6.4 KB)
  • 001 Irrelevance of Shape of the Cavity.en.srt (5.9 KB)
  • 003 Solution to the Wave Equation.en.srt (4.4 KB)
  • 004 Satisfaction of Boundary Conditions.mp4 (128.2 MB)
  • 005 Number of Modes per Frequency.mp4 (127.0 MB)
  • 001 Irrelevance of Shape of the Cavity.mp4 (114.4 MB)
  • 006 Average Energy per Mode.mp4 (104.3 MB)
  • 003 Solution to the Wave Equation.mp4 (90.3 MB)
  • 002 Wave equation for Electromagnetic Waves.mp4 (55.1 MB)
  • TutsNode.com.txt (0.1 KB)
  • [TGx]Downloaded from torrentgalaxy.to .txt (0.6 KB)
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Description


Description

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 his 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.

In 1905, Albert Einstein adapted the Planck postulate to explain the photoelectric effect, but Einstein proposed that the energy of photons themselves was quantized (with photon energy given by the Planck–Einstein relation), and that quantization was not merely a “mathematical trick”. Planck’s postulate was further applied to understanding the Compton effect, and was applied by Niels Bohr to explain the emission spectrum of the hydrogen atom and derive the correct value of the Rydberg constant.

In addition to the very useful mathematical tools that will be presented and discussed thoroughly, the students have the opportunity to learn about the historical aspects of how Planck tackled the blackbody problem.

Calculus and multivariable Calculus are a prerequisite to the course; other important mathematical tools (such as: Fourier Series, Perseval’s theorem, binomial coefficients, etc.) will be recalled, with emphasis being put on mathematical and physical insights rather than abstract rigor.
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
Students interested in the historical fascinating origin of Quantum Physics
Students interested in explanations given through the lens of mathematics

Requirements

Calculus (especially derivatives, integrals, limits)
Multivariable Calculus
Basics of Fourier Analysis

Last Updated 5/2020



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3.4 GB
seeders:20
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The Mathematical Beauty that led to Quantum Physics

Torrent hash: B65F6FD093E4692E4F5EC58FC012850D82315C20