Branches of physics

Physics deals with the combination of matter and energy. It also deals with a wide variety of systems, about which theories have been developed that are used by physicists. In general, theories are experimentally tested numerous times before they are accepted as correct as a description of Nature (within a certain domain of validity). For instance, the theory of classical mechanics accurately describes the motion of objects, provided they are much larger than atoms and moving at much less than the speed of light. These "central theories" are important tools for research in more specialized topics, and any physicist, regardless of his or her specialization, is expected to be literate in them.

Domains of major fields of physics

Classical mechanics

Classical mechanics is a model of the physics of forces acting upon bodies; includes sub-fields to describe the behaviors of solids, gases, and fluids. It is often referred to as "Newtonian mechanics" after Isaac Newton and his laws of motion. It also includes the classical approach as given by Hamiltonian and Lagrange methods. It deals with the motion of particles and general system of particles.

There are many branches of classical mechanics, such as: statics, dynamics, kinematics, continuum mechanics (which includes fluid mechanics), statistical mechanics, etc.

Mechanics: A branch of physics in which we study about the object and properties of an object in form of motion under the action of force.

Thermodynamics and statistical mechanics

The first chapter of The Feynman Lectures on Physics is about the existence of atoms, which Feynman considered to be the most compact statement of physics, from which science could easily result even if all other knowledge was lost.[1] By modeling matter as collections of hard spheres, it is possible to describe the kinetic theory of gases, upon which classical thermodynamics is based.

Thermodynamics studies the effects of changes in temperature, pressure, and volume on physical systems on the macroscopic scale, and the transfer of energy as heat.[2][3] Historically, thermodynamics developed out of the desire to increase the efficiency of early steam engines.[4]

The starting point for most thermodynamic considerations is the laws of thermodynamics, which postulate that energy can be exchanged between physical systems as heat or work.[5] They also postulate the existence of a quantity named entropy, which can be defined for any system.[6] In thermodynamics, interactions between large ensembles of objects are studied and categorized. Central to this are the concepts of system and surroundings. A system is composed of particles, whose average motions define its properties, which in turn are related to one another through equations of state. Properties can be combined to express internal energy and thermodynamic potentials, which are useful for determining conditions for equilibrium and spontaneous processes.

Electromagnetism and photonics

{\begin{aligned}&\nabla \cdot \mathbf {D} =\rho _{f}\\&\nabla \cdot \mathbf {B} =0\\&\nabla \times \mathbf {E} =-{\frac {\partial \mathbf {B} }{\partial t}}\\&\nabla \times \mathbf {H} =\mathbf {J} _{f}+{\frac {\partial \mathbf {D} }{\partial t}}\end{aligned}}

Maxwell's equations of electromagnetism

The study of the behaviors of electrons, electric media, magnets, magnetic fields, and general interactions of light.

Relativistic mechanics

The special theory of relativity enjoys a relationship with electromagnetism and mechanics; that is, the principle of relativity and the principle of stationary action in mechanics can be used to derive Maxwell's equations,[7][8] and vice versa.

The theory of special relativity was proposed in 1905 by Albert Einstein in his article "On the Electrodynamics of Moving Bodies". The title of the article refers to the fact that special relativity resolves an inconsistency between Maxwell's equations and classical mechanics. The theory is based on two postulates: (1) that the mathematical forms of the laws of physics are invariant in all inertial systems; and (2) that the speed of light in a vacuum is constant and independent of the source or observer. Reconciling the two postulates requires a unification of space and time into the frame-dependent concept of spacetime.

General relativity is the geometrical theory of gravitation published by Albert Einstein in 1915/16.[9][10] It unifies special relativity, Newton's law of universal gravitation, and the insight that gravitation can be described by the curvature of space and time. In general relativity, the curvature of spacetime is produced by the energy of matter and radiation.

Quantum mechanics, atomic physics, and molecular physics

The first few hydrogen atom electron orbitals shown as cross-sections with color-coded probability density

Schrödinger equation of quantum mechanics

Quantum mechanics is the branch of physics treating atomic and subatomic systems and their interaction based on the observation that all forms of energy are released in discrete units or bundles called "quanta". Remarkably, quantum theory typically permits only probable or statistical calculation of the observed features of subatomic particles, understood in terms of wave functions. The Schrödinger equation plays the role in quantum mechanics that Newton's laws and conservation of energy serve in classical mechanics—i.e., it predicts the future behavior of a dynamic system—and is a wave equation that is used to solve for wavefunctions.

For example, the light, or electromagnetic radiation emitted or absorbed by an atom has only certain frequencies (or wavelengths), as can be seen from the line spectrum associated with the chemical element represented by that atom. The quantum theory shows that those frequencies correspond to definite energies of the light quanta, or photons, and result from the fact that the electrons of the atom can have only certain allowed energy values, or levels; when an electron changes from one allowed level to another, a quantum of energy is emitted or absorbed whose frequency is directly proportional to the energy difference between the two levels. The photoelectric effect further confirmed the quantization of light.

In 1924, Louis de Broglie proposed that not only do light waves sometimes exhibit particle-like properties, but particles may also exhibit wave-like properties. Two different formulations of quantum mechanics were presented following de Broglie's suggestion. The wave mechanics of Erwin Schrödinger (1926) involves the use of a mathematical entity, the wave function, which is related to the probability of finding a particle at a given point in space. The matrix mechanics of Werner Heisenberg (1925) makes no mention of wave functions or similar concepts but was shown to be mathematically equivalent to Schrödinger's theory. A particularly important discovery of the quantum theory is the uncertainty principle, enunciated by Heisenberg in 1927, which places an absolute theoretical limit on the accuracy of certain measurements; as a result, the assumption by earlier scientists that the physical state of a system could be measured exactly and used to predict future states had to be abandoned. Quantum mechanics was combined with the theory of relativity in the formulation of Paul Dirac. Other developments include quantum statistics, quantum electrodynamics, concerned with interactions between charged particles and electromagnetic fields; and its generalization, quantum field theory.

String Theory

A possible candidate for the theory of everything, this theory combines the theory of general relativity and quantum mechanics to make a single theory. This theory can predict about properties of both small and big objects. This theory is currently under developmental stage.

Optics

Optics is the study of light motions including reflection, refraction, diffraction, and interference.

Condensed matter physics

The study of the physical properties of matter in a condensed phase.

High-energy particle physics and nuclear physics

Particle physics studies the nature of particles, while nuclear physics studies the atomic nuclei.

Cosmology

Cosmology studies how the universe came to be, and its eventual fate. It is studied by physicists and astrophysicists.

Interdisciplinary fields

To the interdisciplinary fields, which define partially sciences of their own, belong e.g. the

agrophysics is a branch of science bordering on agronomy and physics
astrophysics, the physics in the universe, including the properties and interactions of celestial bodies in astronomy.
biophysics, studying the physical interactions of biological processes.
chemical physics, the science of physical relations in chemistry.
computational physics, the application of computers and numerical methods to physical systems.
econophysics, dealing with physical processes and their relations in the science of economy.
environmental physics, the branch of physics concerned with the measurement and analysis of interactions between organisms and their environment.
engineering physics, the combined discipline of physics and engineering.
geophysics, the sciences of physical relations on our planet.
mathematical physics, mathematics pertaining to physical problems.
medical physics, the application of physics in medicine to prevention, diagnosis, and treatment.
physical chemistry, dealing with physical processes and their relations in the science of physical chemistry.
physical oceanography, is the study of physical conditions and physical processes within the ocean, especially the motions and physical properties of ocean waters
psychophysics, the science of physical relations in psychology
quantum computing, the study of quantum-mechanical computation systems.
sociophysics or social physics, is a field of science which uses mathematical tools inspired by physics to understand the behavior of human crowds

Summary

The table below lists the core theories along with many of the concepts they employ.

Theory	Major subtopics	Concepts
Classical mechanics	Newton's laws of motion, Lagrangian mechanics, Hamiltonian mechanics, kinematics, statics, dynamics, chaos theory, acoustics, fluid dynamics, continuum mechanics	Density, dimension, gravity, space, time, motion, length, position, velocity, acceleration, Galilean invariance, mass, momentum, impulse, force, energy, angular velocity, angular momentum, moment of inertia, torque, conservation law, harmonic oscillator, wave, work, power, Lagrangian, Hamiltonian, Tait–Bryan angles, Euler angles, pneumatic, hydraulic
Electromagnetism	Electrostatics, electrodynamics, electricity, magnetism, magnetostatics, Maxwell's equations, optics	Capacitance, electric charge, current, electrical conductivity, electric field, electric permittivity, electric potential, electrical resistance, electromagnetic field, electromagnetic induction, electromagnetic radiation, Gaussian surface, magnetic field, magnetic flux, magnetic monopole, magnetic permeability
Thermodynamics and statistical mechanics	Heat engine, kinetic theory	Boltzmann's constant, conjugate variables, enthalpy, entropy, equation of state, equipartition theorem, thermodynamic free energy, heat, ideal gas law, internal energy, laws of thermodynamics, Maxwell relations, irreversible process, Ising model, mechanical action, partition function, pressure, reversible process, spontaneous process, state function, statistical ensemble, temperature, thermodynamic equilibrium, thermodynamic potential, thermodynamic processes, thermodynamic state, thermodynamic system, viscosity, volume, work, granular material
Quantum mechanics	Path integral formulation, scattering theory, Schrödinger equation, quantum field theory, quantum statistical mechanics	Adiabatic approximation, black-body radiation, correspondence principle, free particle, Hamiltonian, Hilbert space, identical particles, matrix mechanics, Planck's constant, observer effect, operators, quanta, quantization, quantum entanglement, quantum harmonic oscillator, quantum number, quantum tunneling, Schrödinger's cat, Dirac equation, spin, wave function, wave mechanics, wave–particle duality, zero-point energy, Pauli exclusion principle, Heisenberg uncertainty principle
Relativity	Special relativity, general relativity, Einstein field equations	Covariance, Einstein manifold, equivalence principle, four-momentum, four-vector, general principle of relativity, geodesic motion, gravity, gravitoelectromagnetism, inertial frame of reference, invariance, length contraction, Lorentzian manifold, Lorentz transformation, mass–energy equivalence, metric, Minkowski diagram, Minkowski space, principle of relativity, proper length, proper time, reference frame, rest energy, rest mass, relativity of simultaneity, spacetime, special principle of relativity, speed of light, stress–energy tensor, time dilation, twin paradox, world line

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References

Feynman, Richard Phillips; Leighton, Robert Benjamin; Sands, Matthew Linzee (1963). The Feynman Lectures on Physics. p. 1. ISBN 978-0-201-02116-5.. Feynman begins with the atomic hypothesis, as his most compact statement of all scientific knowledge: "If, in some cataclysm, all of scientific knowledge were to be destroyed, and only one sentence passed on to the next generations ..., what statement would contain the most information in the fewest words? I believe it is ... that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another. ..." vol. I p. I–2
Perot, Pierre (1998). A to Z of Thermodynamics. Oxford University Press. ISBN 978-0-19-856552-9.
Clark, John O.E. (2004). The Essential Dictionary of Science. Barnes & Noble Books. ISBN 978-0-7607-4616-5.
Clausius, Rudolf (1850). "LXXIX". On the Motive Power of Heat, and on the Laws which can be deduced from it for the Theory of Heat. Dover Reprint. ISBN 978-0-486-59065-3.
Van Ness, H.C. (1969). Understanding Thermodynamics. Dover Publications, Inc. ISBN 978-0-486-63277-3.
Dugdale, J. S. (1998). Entropy and its Physical Meaning. Taylor and Francis. ISBN 978-0-7484-0569-5.
Landau and Lifshitz (1951, 1962), The Classical Theory of Fields, Library of Congress Card Number 62-9181, Chapters 1–4 (3rd edition is ISBN 0-08-016019-0)
Corson and Lorrain, Electromagnetic Fields and Waves ISBN 0-7167-1823-5
Einstein, Albert (November 25, 1915). "Die Feldgleichungen der Gravitation". Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin: 844–847. Retrieved 2006-09-12.
Einstein, Albert (1916). "The Foundation of the General Theory of Relativity". Annalen der Physik. 354 (7): 769–822. Bibcode:1916AnP...354..769E. doi:10.1002/andp.19163540702. Archived from the original (PDF) on 2006-08-29. Retrieved 2006-09-03.

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[1] Feynman, Richard Phillips; Leighton, Robert Benjamin; Sands, Matthew Linzee (1963). The Feynman Lectures on Physics. p. 1. ISBN 978-0-201-02116-5.. Feynman begins with the atomic hypothesis, as his most compact statement of all scientific knowledge: "If, in some cataclysm, all of scientific knowledge were to be destroyed, and only one sentence passed on to the next generations ..., what statement would contain the most information in the fewest words? I believe it is ... that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another. ..." vol. I p. I–2

[Perot-2] Perot, Pierre (1998). A to Z of Thermodynamics. Oxford University Press. ISBN 978-0-19-856552-9.

[3] Clark, John O.E. (2004). The Essential Dictionary of Science. Barnes & Noble Books. ISBN 978-0-7607-4616-5.

[4] Clausius, Rudolf (1850). "LXXIX". On the Motive Power of Heat, and on the Laws which can be deduced from it for the Theory of Heat. Dover Reprint. ISBN 978-0-486-59065-3.

[5] Van Ness, H.C. (1969). Understanding Thermodynamics. Dover Publications, Inc. ISBN 978-0-486-63277-3.

[6] Dugdale, J. S. (1998). Entropy and its Physical Meaning. Taylor and Francis. ISBN 978-0-7484-0569-5.

[7] Landau and Lifshitz (1951, 1962), The Classical Theory of Fields, Library of Congress Card Number 62-9181, Chapters 1–4 (3rd edition is ISBN 0-08-016019-0)

[8] Corson and Lorrain, Electromagnetic Fields and Waves ISBN 0-7167-1823-5

[Ein1915-9] Einstein, Albert (November 25, 1915). "Die Feldgleichungen der Gravitation". Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin: 844–847. Retrieved 2006-09-12.

[Ein1916-10] Einstein, Albert (1916). "The Foundation of the General Theory of Relativity". Annalen der Physik. 354 (7): 769–822. Bibcode:1916AnP...354..769E. doi:10.1002/andp.19163540702. Archived from the original (PDF) on 2006-08-29. Retrieved 2006-09-03.

Branches of physics
Divisions	Theoretical Computational Experimental Applied
Classical	Classical mechanics Acoustics Classical electromagnetism Optics Thermodynamics Statistical mechanics
Modern	Quantum mechanics Special relativity General relativity Particle physics Nuclear physics Quantum chromodynamics Atomic, molecular, and optical physics Condensed matter physics Cosmology Astrophysics
Interdisciplinary	Atmospheric physics Biophysics Chemical physics Engineering physics Geophysics Materials science Mathematical physics
See also	History of physics Nobel Prize in Physics Timeline of physics discoveries Theory of everything