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Quantum mechanics
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Words: 3k
Articles: 156
Quantum mechanics models states by wavefunctions and observables by operators.
Table of contents
3k
156
Parity
Quantum mechanics
18
1
Spatial reflection
Parity
6
Photon
Quantum mechanics
13
Ground state
Quantum mechanics
31
Energy eigenvalue
Quantum mechanics
105
6
Energy eigenstate
Energy eigenvalue
21
Energy eigenspace
Energy eigenvalue
8
Excited state
Energy eigenvalue
25
1
First excited state
Excited state
13
Eigenstate
Energy eigenvalue
35
1
Momentum eigenstate
Eigenstate
22
Quantum state
Quantum mechanics
343
15
Qubit state
Quantum state
13
Quantum number
Quantum state
16
Quantum phase
Quantum state
22
Observable
Quantum state
243
9
Expectation value
Observable
15
Hamiltonian operator
Observable
209
7
Quantum symmetry of a Hamiltonian
Hamiltonian operator
53
1
Conserved generator of a continuous quantum symmetry
Quantum symmetry of a Hamiltonian
17
Unitary time evolution
Hamiltonian operator
141
4
Heisenberg picture
Unitary time evolution
22
Time-reversal symmetry in quantum mechanics
Unitary time evolution
107
2
Unitary time reversal reverses the energy spectrum
Time-reversal symmetry in quantum mechanics
37
Antiunitary time reversal preserves the energy spectrum
Time-reversal symmetry in quantum mechanics
28
Bound state
Quantum state
13
Stationary state
Quantum state
15
Planck constant
Quantum mechanics
15
Wavefunction
Quantum mechanics
272
12
Plane wave
Wavefunction
22
Probability amplitude
Wavefunction
119
4
Born rule
Probability amplitude
101
3
Wigner theorem
Born rule
44
1
Projective unitary representation
Wigner theorem
21
Energy measurement
Born rule
36
Normalizable wavefunction
Wavefunction
24
Probability density
Wavefunction
13
Probability current
Wavefunction
55
2
Probability continuity equation
Probability current
41
1
Conservation of quantum probability
Probability continuity equation
24
Gaussian wave packet
Wavefunction
28
Potential barrier
Quantum mechanics
72
2
Quantum tunnelling
Potential barrier
56
1
Finite square barrier transmission at half barrier height
Quantum tunnelling
40
Hermitian operator on a nonorthogonal two-state basis
Quantum mechanics
65
1
Commuting time-dependent two-state Hamiltonian
Hermitian operator on a nonorthogonal two-state basis
30
Second moments of a complex Gaussian wave packet
Quantum mechanics
13
Finite square well
Quantum mechanics
22
Delta potential
Quantum mechanics
77
3
Bound state in a delta potential
Delta potential
12
Multiple delta potential
Delta potential
24
Scattering by a delta potential
Delta potential
23
Quantum scattering
Quantum mechanics
662
26
Reflected wave
Quantum scattering
18
Transmission probability
Quantum scattering
25
One-dimensional S-matrix
Quantum scattering
60
1
One-dimensional transfer matrix from scattering amplitudes
One-dimensional S-matrix
18
Partial-wave S-matrix
Quantum scattering
131
4
Unitarity and reflection identities for a partial-wave S-matrix
Partial-wave S-matrix
32
Scattering length from a partial-wave S-matrix
Partial-wave S-matrix
16
Bound-state poles of a partial-wave S-matrix
Partial-wave S-matrix
30
Scattering resonance
Partial-wave S-matrix
39
Lippmann-Schwinger equation
Quantum scattering
22
Scattering amplitude
Quantum scattering
396
15
Momentum transfer
Scattering amplitude
30
Elastic scattering
Scattering amplitude
24
Diffraction
Scattering amplitude
20
Crystal scattering
Scattering amplitude
282
10
Bravais lattice
Crystal scattering
177
6
Lattice point
Bravais lattice
16
Reciprocal lattice
Bravais lattice
93
2
Wigner-Seitz cell
Reciprocal lattice
62
1
Reciprocal lattice and Wigner-Seitz cell of the unit triangular lattice
Wigner-Seitz cell
30
Body-centered cubic lattice
Bravais lattice
53
1
Reciprocal lattice of the 2023 Cambridge body-centered cubic basis
Body-centered cubic lattice
30
Crystal lattice structure factor
Crystal scattering
53
1
Reciprocal-lattice peaks of a finite crystal
Crystal lattice structure factor
28
Elastic Bragg scattering condition
Crystal scattering
24
Bound-state pole of the scattering amplitude
Scattering amplitude
23
Supersymmetric quantum mechanics
Quantum mechanics
85
3
Partner Hamiltonians
Supersymmetric quantum mechanics
14
Pöschl-Teller potential
Supersymmetric quantum mechanics
62
1
Supersymmetric factorization of the one-soliton potential
Pöschl-Teller potential
36
Reflectionless potential
Quantum mechanics
11
Position operator
Quantum mechanics
12
Momentum operator
Quantum mechanics
24
1
Canonical commutation relation
Momentum operator
13
Ehrenfest theorem
Quantum mechanics
89
3
Proof of Ehrenfest theorem from the Schrodinger equation
Ehrenfest theorem
17
Classical equations from Ehrenfest theorem
Ehrenfest theorem
28
Correspondence principle
Ehrenfest theorem
17
Angular momentum operator
Quantum mechanics
308
15
Addition of angular momentum
Angular momentum operator
143
5
Clebsch-Gordan decomposition
Addition of angular momentum
30
Highest-weight states in angular momentum addition
Addition of angular momentum
27
Angular momentum singlet state
Addition of angular momentum
39
1
Spin-one-half singlet state
Angular momentum singlet state
22
Spin-one-half triplet state
Addition of angular momentum
22
Spin angular momentum
Angular momentum operator
165
8
Spin one-half along an axis
Spin angular momentum
25
Irreducible spin representation
Spin angular momentum
19
Spin ladder operator
Spin angular momentum
7
Spin-three-halves matrices
Spin angular momentum
24
Spin coherent state
Spin angular momentum
75
3
Equatorial spin-three-halves coherent state
Spin coherent state
15
Larmor precession of a spin coherent state
Spin coherent state
32
1
Time evolution under a spin-Z Hamiltonian
Larmor precession of a spin coherent state
13
Infinite square well
Quantum mechanics
17
1
Particle in a rectangular box
Infinite square well
17
Quantum degeneracy
Quantum mechanics
13
Orbital angular momentum
Quantum mechanics
145
8
Rotation commutators for orbital angular momentum
Orbital angular momentum
8
Orbital angular momentum commutation relations
Orbital angular momentum
8
Angular momentum ladder operator
Orbital angular momentum
28
Squared orbital angular momentum in position and momentum operators
Orbital angular momentum
25
1
Spherical Laplacian from orbital angular momentum
Squared orbital angular momentum in position and momentum operators
18
Angular momentum ladder variable
Orbital angular momentum
45
1
Angular momentum of a complex-coordinate Gaussian state
Angular momentum ladder variable
25
Rotational invariance of a central-potential Hamiltonian
Orbital angular momentum
21
Quantum harmonic oscillator
Quantum mechanics
99
4
Creation and annihilation operators
Quantum harmonic oscillator
56
2
Number operator
Creation and annihilation operators
45
1
Integer spectrum of the number operator
Number operator
30
Two commensurate quantum harmonic oscillators
Quantum harmonic oscillator
26
Three-dimensional isotropic harmonic oscillator
Quantum mechanics
12
Two-dimensional isotropic harmonic oscillator
Quantum mechanics
69
2
Oscillator bilinear commutator
Two-dimensional isotropic harmonic oscillator
13
Schwinger boson representation
Two-dimensional isotropic harmonic oscillator
30
Fermi oscillator
Quantum mechanics
61
2
Projection Hamiltonian
Fermi oscillator
14
Fermionic raising and lowering operator
Fermi oscillator
24
Tensor product of quantum systems
Quantum mechanics
303
11
Multiparticle quantum state
Tensor product of quantum systems
231
7
Particle exchange operator
Multiparticle quantum state
192
6
Identical particle
Particle exchange operator
169
5
Boson
Identical particle
21
Fermion
Identical particle
47
1
Pauli exclusion principle
Fermion
26
Two identical spin-one bosons
Identical particle
83
1
Degeneracy of two identical spin-one bosons with equally spaced orbital levels
Two identical spin-one bosons
40
Decoupled Fermi oscillators
Tensor product of quantum systems
13
Kronecker product representation of local operators
Tensor product of quantum systems
22
Decoupled commuting Hamiltonian terms
Tensor product of quantum systems
19
Time-dependent perturbation theory
Quantum mechanics
71
1
Continuum transition probability at long times
Time-dependent perturbation theory
33
Time-independent perturbation theory
Quantum mechanics
125
5
First-order energy correction
Time-independent perturbation theory
18
Nondegenerate energy eigenvalue
Time-independent perturbation theory
17
First-order nondegenerate perturbation theory
Time-independent perturbation theory
17
Second-order nondegenerate perturbation theory
Time-independent perturbation theory
26
Imaginary-coupled two-level Hamiltonian
Time-independent perturbation theory
29
Degenerate perturbation theory
Quantum mechanics
99
3
Perturbation diagonal within a degenerate eigenspace
Degenerate perturbation theory
23
Exact diagonalization within a degenerate subspace
Degenerate perturbation theory
60
1
Resonant two-to-one oscillator coupling
Exact diagonalization within a degenerate subspace
39
Pauli X eigenstate
Quantum mechanics
10
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