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Quantum mechanics

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scattering amplitude
probability amplitude in quantum scattering theory
scattering theory
method for studying scattering of waves and particles
instanton
An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. More precisely, it is a solution to the equations of motion of the classical field theory on a Euclidean spacetime.
canonical commutation relation
relation satisfied by conjugate variables in quantum mechanics
nuclear structure
internal structure of the atomic nucleus
unitarity
In quantum physics, unitarity is (or a unitary process has) the condition that the time evolution of a quantum state according to the Schrödinger equation is mathematically represented by a unitary operator. This is typically taken as an axiom or basic postulate of quantum mechanics, while generalizations of or departures from unitarity are part of speculations about theories that may go beyond quantum mechanics. A unitarity bound is any inequality that follows from the unitarity of the evolution operator, i.e. from the statement that time evolution preserves inner products in Hilbert space.
Conjugate variables
variables that are Fourier transform duals
ultracold atom
atom maintained at temperatures close to 0 kelvins, usually in an atomic physics laboratory
relativistic particle
elementary particle which moves close to the speed of light
Weyl equation
relativistic wave equation describing massless fermions
transmission coefficient
coefficient describing the amplitude, intensity, or total power of a transmitted wave relative to an incident wave
Wigner 3-j symbol
coefficients coupled with angular momentum
Second sound
quantum mechanical phenomenon in which heat transfer occurs by wave-like motion
Kohn–Sham equations
one-electron Schrödinger equation of a fictitious system
semiclassical physics
physical model treating some aspects in terms of quantum mechanics and others by classical physics
Drell–Yan process
Process in high-energy hadron–hadron scattering
intersystem crossing
excited state dynamic in chemistry and physics
6-j symbol
sum of multiples of four 3j symbols
Bethe–Salpeter equation
equation for two-body bound states
quantum vortex
quantized flux circulation of some physical quantity
position and momentum space
physical spaces representing position and momentum, Fourier transform duals
Implicate and explicate order
quantum physics concepts developed by David Bohm regarding wholeness and non-locality
Fano resonance
type of scattering resonance
Molecular electronic transition
expectation value
expected value of a quantum measurement
Kubo formula
Quantum mechanics mathematical equation
avoided crossing
quantum physics and chemistry phenomenon
classical limit
concept of modern physics theories that they should, under some circumstances, approximate the predictions of classical physics
partial wave analysis
technique in quantum mechanics for solving scattering problems
Fubini–Study metric
Kähler–Einstein metric on a complex projective space
Complete set of commuting observables
concept in quantum mechanics
quantum dynamics
study of quantum systems changing with time
quantum geometry
set of mathematical concepts propagating geometric concepts
matrix element
in physics
Kapitsa–Dirac effect
Diffraction of matter by a standing wave of light
Representation theory of the Lorentz group
representation of the symmetry group of spacetime in special relativity
timeline of quantum mechanics
development of quantum mechanics, quantum field theories and quantum chemistry
quantum point contact
transistor
open quantum system
quantum mechanical system that interacts with a quantum-mechanical environment
relativistic dynamics
combination of relativistic and quantum concepts
quantum machine
human-made device whose collective motion follows the laws of quantum mechanics
Faddeev equations
first quantization
converting classical mechanics to quantum mechanics
scattering length
Concept in quantum mechanics
dynamical mean field theory
method to determine the electronic structure of strongly correlated materials
Quantum-confined Stark effect
Effect in quantum electronics
relativistic electron beam
stream of elections moving at relativistic speeds
functional integration
integral of a functional over a space of curves
Einstein–Brillouin–Keller method
Semi-classical method for compouting quantum eigenvalues
Lindblad equation
In quantum mechanics, the Franke–Gorini–Kossakowski–Sudarshan–Lindblad (FGKSL) master equation (named after Valentin Franke, Vittorio Gorini, Andrzej Kossakowski, George Sudarshan and Göran Lindblad), Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) master equation, master equation in Lindblad form, quantum Liouvillian, or Lindbladian is one of the general forms of Markovian master equations describing open quantum systems. It generalizes the Schrödinger equation to open quantum systems; that is, systems in contact with their surroundings. The resulting dynamics are no longer unitary, but still sa
quantum operation
class of transformations that quantum systems and processes can undergo; a completely positive linear map between spaces of trace class operators that maps a trace 1 operator to an operator of trace at most 1
9-j symbol
symbol used in quantum mechanics
Efimov state
physical effect in few-body systems
strongly correlated material
materials with electrical properties that cannot be explained by non-interacting entities
C-number
The term c-number (classical number) is an old nomenclature introduced by Paul Dirac which refers to real and complex numbers. It is used to distinguish from operators (q-numbers or quantum numbers) in quantum mechanics.
quantum hydrodynamics
The study of hydrodynamic-like systems which demonstrate quantum mechanical behavior
dynamical picture
multiple equivalent ways to mathematically formulate the dynamics of a quantum system
Holstein–Primakoff transformation
Transformation in quantum mechanics
quantum graph
metric graph equipped with a differential operator acting on functions on the graph
coherent control
method for controlling dynamical processes by light