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All Branches of Physics

Ben edited this page May 26, 2020 · 6 revisions

Resources:

The content draws on algebra, calculus, differential equations, PDE, and linear algebra.

It's not clear to me how

fit mathematically as syntax rules

collections of derivations

Classical Mechanics

Rockets

Simple Harmonic Motion

https://en.wikibooks.org/wiki/A-level_Physics_(Advancing_Physics)/Simple_Harmonic_Motion/Mathematical_Derivation

Circuits

Kirchhoff's circuit laws

Atomic physics

Bohr Model

http://dev.physicslab.org/Document.aspx?doctype=3&filename=AtomicNuclear_BohrModelDerivation.xml

Fluid Dynamics

Atmospheric

https://en.wikipedia.org/wiki/Primitive_equations

Thermodynamics

Bridgman's thermodynamic equations

https://en.wikipedia.org/wiki/Bridgman%27s_thermodynamic_equations

Statistical Physics

Ideal Gas Law

Electrodynamics

https://en.wikipedia.org/wiki/Casimir_effect#Derivation_of_Casimir_effect_assuming_zeta-regularization

Maxwell's equations

Astrophysics

Kepler's laws of planetary motion

https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion

  1. The orbit of a planet is an ellipse with the Sun at one of the two foci.
  2. A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
  3. The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

https://en.wikipedia.org/wiki/Raychaudhuri_equation

http://physics.stackexchange.com/questions/13694/second-law-of-black-hole-thermodynamics/13751#13751

Wheeler-DeWitt equation

https://en.wikipedia.org/wiki/Wheeler%E2%80%93DeWitt_equation

http://arxiv.org/abs/physics/9806004
From Newton's Laws to the Wheeler-DeWitt Equation
John W. Norbury

http://www.technologyreview.com/view/416113/deriving-the-arrow-of-time/
http://arxiv.org/abs/0910.5836
Claus Kiefer

https://journals.aps.org/prd/abstract/10.1103/PhysRevD.38.2468
Derivation of the Wheeler-DeWitt equation from a path integral for minisuperspace models
Phys. Rev. D 38, 2468 – Published 15 October 1988
Jonathan J. Halliwell

Cosmology

Planetary Physics

Quantum Mechanics

https://en.wikipedia.org/wiki/Topological_quantum_field_theory

https://en.wikipedia.org/wiki/Chern%E2%80%93Simons_theory

Heisenberg Uncertainty principle

https://en.wikipedia.org/wiki/Uncertainty_principle

http://applet-magic.com/Uncertainty.htm

http://www.pa.msu.edu/~mmoore/Lect23_HeisUncPrinc.pdf

http://www.tjhsst.edu/~2011akessler/notes/hup.pdf

http://onlinelibrary.wiley.com/store/10.1002/9781118148419.app1/asset/app1.pdf;jsessionid=4CFD6011BBB927AB23F952A141BDCCB2.f01t03?v=1&t=i40nrg66&s=d81e9e459fb49564af92fd8a8e98516c9c5b64b3

Planck's Law

http://bado-shanai.net/Map%20of%20Physics/mopPlancksderivBRL.htm

https://nanohub.org/wiki/DerivationofPlancksLaw

https://en.wikipedia.org/wiki/Planck's_law

http://disciplinas.stoa.usp.br/pluginfile.php/48089/course/section/16461/qsp_chapter10-plank.pdf

https://www.youtube.com/watch?v=syQbWP-7WC4

Dirac equation

https://en.wikipedia.org/wiki/Dirac_equation

https://www.youtube.com/watch?v=fcU1It6rTMg

http://www2.warwick.ac.uk/fac/sci/physics/current/teach/module_home/px435/dirac.pdf

http://arxiv.org/vc/quant-ph/papers/0607/0607001v1.pdf

http://physics.stackexchange.com/questions/65102/derivation-of-dirac-equation-using-the-lagrangian-density-for-dirac-field

http://quantummechanics.ucsd.edu/ph130a/130_notes/node45.html

Schrodinger equation

python bin/list_connection_sets.py | grep -i schrodinger
derivation_of_Schrodinger_Eq

https://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation

How to Derive the Schrodinger Equation
http://arxiv.org/pdf/physics/0610121.pdf

https://www.youtube.com/watch?v=IsX5iUKNT2k

http://www.physics.utah.edu/~starykh/phys7640/Lectures/FeynmansDerivation.pdf

Schrödinger equation derived from complex Gaussian propagator with no prior physical assumptions
http://arxiv.org/abs/1407.5954

Relativity

relativistic equations of motion

Derivation of the relativistic momentum and relativistic equation of motion from Newton's second law and Minkowskian space-time geometry
http://arxiv.org/abs/1408.3381

Mass-energy relation

http://www.science20.com/curious_inquirer/most_famous_equation_physics_and_its_derivation-89948

Superconductivity

String Theory

https://en.wikipedia.org/wiki/Bosonic_string_theory

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF#Physics