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Theoretical physicist

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The corresponding physics credits are Theoretical physics and Experimental physics Physicists can also be divided into theoretical physicists and experimental physicist Of course, both theory and experiment are indispensable components in physics, so sometimes such classification is difficult to define. Only when a physicist is more theoretical, he or she is called a theoretical physicist, such as Einstein However, if we focus on experiments, we are called experimental physicists, such as Faraday
Chinese name
Theoretical physics
Discipline
physics

brief introduction

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Theoretical physics is like a skyscraper He has a solid foundation in basic mathematics and classical (before the 20th century) physics. Even if we have so many breakthroughs in physics now, we should not think that physics before the 20th century is irrelevant. In those days, the solid foundation was where we put the knowledge we enjoyed. Don't try to build your own skyscraper until you have rebuilt these foundations yourself. The lower floors of the skyscraper are made up of advanced mathematics. They let Classical physics The theory becomes more beautiful. If you want to go higher, this is necessary. After that, list some other topics. Finally, if you are crazy enough to solve those terrible and puzzling problems of mediating the contradiction between gravitational physics and the quantum world, you will need to continue to learn General relativity , superstring, M-theory, Karabi Chou compactification, etc. This is the current top of the skyscraper. There are other peaks, such as Bose Einstein condensation, Fractional quantum Hall effect , etc. As has been proved in the past few years, it is also a good topic winning the Nobel Prize. Here's a piece of advice: even if you are extremely smart, you are still likely to be trapped in some places. Surf the Internet yourself. Find more things. Tell me what you found. If this site is helpful to those who plan to enter the university, if it inspires some people, helps some people to walk along this road, and removes some obstacles on his or her way to science, then I think this site is successful. Please let me know. Here is the list of courses.
Course list, in logical order (not everything must be in this order, but this order approximately indicates the difference subject The logical relationship of. Some articles have a higher level than others)
(At the current initial stage, this page is still incomplete.)
Language: English is a prerequisite. If you haven't mastered it, learn it now. You must be able to read, write, speak and understand English, but you need not be very good. The disgusting English in this article was written by myself. That's enough. All publications are in English. Pay attention to the importance of being able to write in English. Soon you will want to publish your own results. People must be able to read and understand your material.
French, German, Spanish and Italian may also be useful, but they are not required. They are not based on our skyscrapers, so don't worry. You really need the Greek alphabet. The Greek alphabet is used a lot. Know their names, or you will make stupid mistakes when you use them in your speech. Now, start giving serious material. Don't complain that these things look a little too much. You won't get the Nobel Prize for free, and remember that all this will take our students at least five years to learn (at least one reader was surprised that he would never master these contents in five years; Indeed, I say to those who plan to spend most of their time on this study, and indeed, some undeveloped intellectual assumptions exist).

Basic Mathematics

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Are you familiar with numbers? Add, subtract, multiply, divide, square root, etc?
Many online courses about mathematics can be found here! (More than you need)
Natural number: 1, 2, 3
Integer:..., - 2, - 1, 0, 1, 2
fraction:
real number :Sqrt(2) = 1.4142135 ... , pi = 3.14159265... , e= 2.7182818..., ...
complex : 2+3i, eia=cos a+i sin a,... They are very important!
set theory Open set , compact space, topology.
You may think it strange that they are really useful in physics.
Dave E. Joyce's trigonometric function curriculum
This is a must: Professor James Binney's Plural Course
(Almost) All of them are here! (K. Kubota, Kentucky). You can also see Chris Pope's handout: Methods1-ch1 Methods1-ch2
Complex plane Cauchy Theorem and contour integral (G. Cain, Atlanta)
Algebraic equation. Approximation method. Series expansion: Talylor series. solution complex Equation. Trigonometric function: sin (2x)=2sin x cos x, etc.
Infinitesimal. Differential. Find the differential of basic functions (sin, cos, exp).
Integral, if possible, integrate the basic function.
Differential equations. Linear equations
Fourier transform. The use of plural numbers. series Convergence of.
Complex plane. Cauchy Theorem and Contour integration method (Now this is very interesting).
Gamma function (enjoy learning his nature)
Gauss integral Probability theory.
These are for beginners. Some content may be used as a complete lecture course. Most of these contents are necessary in physical theory. You don't need to complete all these courses when you begin to learn the later contents, but remember to come back and finish those you missed for the first time.
One set from Harvard A very good handout;
Lagrange and Hamilton equation More explanations of
A. A. Louro's optical handout
Alfred Huan's“ statistical mechanics ”Textbook
Thermodynamics handout of Professor Donald B. Melrose
Classical mechanics: statics (force, stress); Hydrostatics Newton's law
Action Principle. Hamilton Equation. Lagrange (Don't skip, it's very important!)
Harmonic oscillator Pendulum.
wave equation Liquids and gases. Viscosity Navier Stokes equation Viscosity and friction.
Optics: refraction and reflection. Lens and mirror. Telescope and microscope. Introduction to Wave Propagation. Doppler effect. Huygens principle of wave superposition. Wave front. Caustics.
Statistical Mechanics and Thermodynamics: First, Second and Third Laws of Thermodynamics.
Boltzmann Distribution.
Carnot cycle Entropy. Warm engine.
Phase transition. Thermodynamic model.
Ising model (The technology of solving 2D Ising model is postponed to the later).
Plonk The radiation law of (as a prelude to quantum mechanics)
Electronics: Circuits. Ohm's law Capacitance, inductance, use complex numbers to calculate their effects. Transistors, diodes (their working principles will be learned later).
Mathematica for Students of Science by James Kelly Angus MacKinnon, Computational Physics
W. .J. Spence, Electromagnetism
Bo Thide EM Field theory text (advanced)
Jackson Exercises already done in the book, set 1/set 2
Introduction to QM and special relativity: Michael Fowler
An alternative Introduction
Niels Walet lecture course on QM (Manchester) lecture notes
Even the purest theorists may be interested in some aspects of computational physics.
Electromagnetic maxwell Theory. Maxwell's law (uniform and non-uniform)
Maxwell's law in medium. Boundary. Solve the equations in these cases:
Vacuum and homogeneous medium( electromagnetic wave );
In a box (waveguide);
On the boundary (refraction and reflection);
(non relativistic) quantum mechanics. Bohr atom
virtue Buluo Meaning relation (energy frequency, momentum - wave number
Schrodinger equation (with potential and magnetic field)
Allenfest theorem
A particle in the box
Hydrogen atom, give the detailed solution process. Zeeman effect Stark effect
operator : energy, momentum, angular momentum, production and Annihilation operator
The reciprocal relationship between them.
Introduction to Scattering Theory of Quantum Mechanics. S matrix Radioactive decay.
Atoms and molecules. Chemical bonding. Track. Atomic and molecular spectra. Emission and absorption of light. quantum Select the rule. Magnetic moment.
Solid State Physics: notes by Chetan Nayak (UCLA)
Solid state physics Crystal. Bragg reflection. Crystal group. Dielectric constant And diamagnetism Permeability bloch Spectrum. Fermi level Conductors, semiconductors and insulators. Specific heat. Electrons and holes. Transistors. superconductivity. Hall effect.
nuclear physics isotope Radioactivity. Fission and fusion Droplet model Nuclear Quantum number Magic number Nuclear. Isospin. Tangchuan Theory.
See John Heinbockel, Virgunia.
See Chr. Pope: Methods2
G.'t Hooft: Lie groups, in Dutch + exercises
Special functions and polynomials (you don't need to remember these, as long as you can understand them)
More solutions to (partial) differential equations and integral equation Skills.
Extreme value principle and approximation techniques based on it.
Difference equation Generates a function. Hilbert space
functional integrals introduction.
Peter Dunsby's lecture course on tensors and special relativity
Michigan notes on (advanced) Quantum Mechanics
Special relativity. Lorentz transformation Lorentz contraction, Time dilation E=mc2. 4-vector and 4-tensor. Maxwell equation The transformation rules of. Relativistic Doppler effect.
Advanced quantum mechanics: Hilbert spaces. Atomic transition Emission and absorption of light. Stimulated emission. density matrix Explanation of quantum mechanics. Bell inequality Transition to relativistic quantum mechanics: dirac Equation, fine structure. Electrons and positrons. BCS theory of superconductivity. Quantum Hall effect. Advanced scattering theory. dispersion relation Perturbation deployment. WKB Approx Extreme value principle. Bose Einstein condensation. Superfluid liquid helium
More phenomenological theories: Subatomic Particle (meson, baryon , photons, leptons, quarks) and cosmic rays; Material properties and chemistry; Nuclear isotope; phase transition Astrophysics (planetary systems, stars, galaxies, redshifts, supernovae); cosmology cosmological models Inflationary-era theory Microwave background radiation ); Detection technology.
Introduction + exercises by G. 't Hooft
Alternative: Sean M. Carrol's lecture notes on GR
Pierre van Baal's notes on QFT
General relativity Gauge tensor. Spatiotemporal curvature Einstein's gravitational equation. Schwartz Child black hole Lisnell Wrottstrom black hole. Perihelion movement. Gravitational lens Cosmic model Gravitational radiation
Quantum field theory . Classic Field: Scalar field , Dirac Spinor Field, Young Mills vector field.
Interaction, perturbation expansion. spontaneous Symmetry Broken, Goldstone model. Higgs Mechanism
particle And field: Fokker Space. Antiparticle Feynman Rules. send meson Hehe Germany Gelman - Levy Sigma model. Cyclograph. Unitarianism, causality and dispersion relation Renormalization (Pauli Villas; dimension renormalization). quantum Normative theory: Normative fixation, Fazeyev Popov determinant, Slavnov Identity , BRST symmetry. Renormalization group Progressive freedom.
Soliton ,Skyrmions. Magnetic monopole And instantons Quark confinement Mechanism. 1/N expansion Operator product expansion. Beta Sapetta equation. The standard model is established. P and CP damage. CPT theorem spin And statistics. Supersymmetry
Introduction + exercises
A more general site for superstrings
Superstring theory.
More online handouts can be found here
Books There are many books on various topics in theoretical physics.
Here are a few books:
H. Margenau and G.M. Murphy, The Mathematics of Physics and Chemistry, D. v.Nostrand Comp.
R. Baker, Linear Algebra, Rinton Press
L. E. Reichl: A Modern Course in Statistical Physics, 2nd ed.
R. K. Pathria: Statistical Mechanics
M. Plischke & B. Bergesen: Equilibrium Statistical Physics
L. D. Landau & E. M. Lifxxxxz: Statistical Physics, Part 1
S.-K. Ma, Statistical Mechanics, World Scientific
J.D. Jackson, Classical Electrodynamics, 3rd ed., Wiley & Sons.
A. Das & A.C. Melissinos, Quantum mechanics, Gordon & Breach
A.S. Davydov, Quantum Mechanics. Pergamon Press
E. Merzbacher, Quantum Mechanics, Wiley & Sons
R. Shankar, Principles of Quantum Mechanics, Plenum
J.J. Sakurai, Advanced Quantum Mechanics, Addison-Wesley
B. de Wit & J. Smith, Field Theory in Particle Physics, North-Holland
I.J.R. Aitchison & A.J.G. Hey, Gauge Theories in Particles Physics, Adam Hilger
L.H. Ryder, Quantum Field Theory, Cambridge Univ. Press
C. Itzykson & J.-B. Zuber, Quantum Field Theory, McGraw-Hill.
M.B. Green, J.H. Schwarz & E. Witten, Superstring theory, Vols. I & II, Cambridge Univ. Press
J. Polchinski, String Theory, Vols. I & II, Cambridge Univ. Press
Other useful textbooks and booklists can be found here: mathematics, physics (many of them are for entertainment, rather than basic reading materials for understanding the world)
There have been some responses. I thank Rob van Linden, Robert Tough, Thuy Nguyen, Tina Witham, Jerry Blair, Jonathan Martin and others.
Last revised: February 20, 2003