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Non-relativistic quantum mechanics
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words: 5k
articles: 99
The first
quantum mechanics
theories developed.
Their most popular formulation has been the
Schrödinger equation
.
Table of contents
5k
99
Schrödinger equation
Non-relativistic quantum mechanics
5k
93
Time-independent Schrödinger equation
Schrödinger equation
603
1
Solving the Schrodinger equation with the time-independent Schrödinger equation
Time-independent Schrödinger equation
500
Derivation of the Schrodinger equation
Schrödinger equation
133
1
Why are complex numbers used in the Schrodinger equation?
Derivation of the Schrodinger equation
71
Schrodinger equation Hamiltonian
Schrödinger equation
The Schrodinger equation Hamiltonian has to be Hermitian
Schrödinger equation
15
Solutions of the Schrodinger equation
Schrödinger equation
3k
65
Schrödinger equation simulations
Solutions of the Schrodinger equation
233
1
Why it is hard to simulate quantum systems?
Schrödinger equation simulations
30
Schrödinger equation for a one dimensional particle
Solutions of the Schrodinger equation
60
Schrödinger equation for a free one dimensional particle
Solutions of the Schrodinger equation
150
2
Plane wave function
Schrödinger equation for a free one dimensional particle
68
Time-independent Schrödinger equation for a free one dimensional particle
Schrödinger equation for a free one dimensional particle
30
Particle in a box
Solutions of the Schrodinger equation
1
Quantum well
Particle in a box
Quantum harmonic oscillator
Solutions of the Schrodinger equation
168
4
Quantum LC circuit
Quantum harmonic oscillator
13
Hermite polynomials
Quantum harmonic oscillator
35
1
Hermite functions
Hermite polynomials
5
Ladder operator
Quantum harmonic oscillator
39
Quantum tunnelling
Solutions of the Schrodinger equation
22
Schrödinger equation solution for the hydrogen atom
Solutions of the Schrodinger equation
612
11
Atomic orbital
Schrödinger equation solution for the hydrogen atom
48
Quantum number
Schrödinger equation solution for the hydrogen atom
463
9
Principal quantum number
(n)
Quantum number
50
Azimuthal quantum number
(l)
Quantum number
29
4
s-orbital
Azimuthal quantum number
p-orbital
Azimuthal quantum number
d-orbital
Azimuthal quantum number
f-orbital
Azimuthal quantum number
Magnetic quantum number
(
m
l
)
Quantum number
157
Spin quantum number
(
m
s
)
Quantum number
49
1
Spectroscopic notation
Spin quantum number
49
Solutions for the Schrodinger equation with multiple particles
Solutions of the Schrodinger equation
2k
35
Separable state
(Product state)
Solutions for the Schrodinger equation with multiple particles
Solutions of the Schrodinger equation for two electrons
Solutions for the Schrodinger equation with multiple particles
134
Orbital approximation
Solutions for the Schrodinger equation with multiple particles
7
Schrödinger equation solution for the helium atom
Solutions for the Schrodinger equation with multiple particles
60
Hartree-Fock method
Solutions for the Schrodinger equation with multiple particles
732
12
Hartree-Fock method for the helium atom
Hartree-Fock method
Why do multiple electrons occupy the same orbital if electrons repel each other?
Hartree-Fock method
55
Aufbau principle
Hartree-Fock method
677
9
Electron configuration
Aufbau principle
Electron configuration notation
(
1
s
2
2
s
2
2
p
6
, 1s2 2s2 2p6)
Aufbau principle
15
Why does 2s have less energy than 1s if they have the same principal quantum number?
Aufbau principle
73
Madelung energy ordering rule
Aufbau principle
139
1
Exception to the Madelung energy ordering rule
Madelung energy ordering rule
40
Term symbol
(
2
S
1
/
2
,
2
P
1
/
2
,
2
P
3
/
2
)
Aufbau principle
423
3
Hund's rules
(1927)
Term symbol
115
2
Hund's first rule
Hund's rules
18
Hund's second rule
Hund's rules
Term symbols for carbon ground state
Solutions for the Schrodinger equation with multiple particles
731
Schrödinger equation solution for molecule
Solutions for the Schrodinger equation with multiple particles
152
16
Schrödinger equation solution for the hydrogen molecule
Schrödinger equation solution for molecule
40
Chemical bond
Schrödinger equation solution for molecule
112
14
Molecule
Chemical bond
112
6
Ball-and-stick model
Molecule
1
Isomer
Molecule
111
4
Cis-trans isomerism
Isomer
14
Enantiomer
Isomer
30
Polymorphism
(materials science)
Isomer
13
Stereochemistry
Isomer
30
Covalent bond
Chemical bond
4
Sigma bond
Covalent bond
Pi bond
Covalent bond
2
Double bond
Pi bond
Triple bond
Pi bond
Ionic bond
Chemical bond
Octet rule
Chemical bond
Two-state quantum system
Solutions of the Schrodinger equation
42
2
Bloch sphere
Two-state quantum system
22
Pauli matrix
Two-state quantum system
1
Born-Oppenheimer approximation
Schrödinger equation
Uncertainty principle
Schrödinger equation
842
10
Position and momentum space
Uncertainty principle
296
4
Position representation
Position and momentum space
72
Position operator
Position and momentum space
25
Momentum operator
Position and momentum space
61
Squeezed coherent state
Position and momentum space
Energy operator
Uncertainty principle
24
1
Time-energy uncertainty principle
Energy operator
14
Angular momentum operator
(Quantum angular momentum)
Uncertainty principle
151
1
Total angular momentum operator
Angular momentum operator
2
Complementarity
(physics)
Uncertainty principle
Conservation laws in Schrodinger equations
Schrödinger equation
64
2
Conservation of the square amplitude in the Schrodinger equation
Conservation laws in Schrodinger equations
48
1
Probability current
Conservation of the square amplitude in the Schrodinger equation
Wave function
(
ψ
)
Schrödinger equation
163
5
Matter wave
(1923, de Broglie hypothesis)
Wave function
77
4
Electron diffraction experiment
Matter wave
3
2
Diffraction of Cathode Rays by a Thin Film by Thomson and Reid (1927)
Electron diffraction experiment
Davisson-Germer experiment
(1927, Electron diffraction pattern)
Electron diffraction experiment
3
de Broglie relations
Matter wave
74
Equivalent alternatives to the Schrodinger equation
Non-relativistic quantum mechanics
152
4
Matrix mechanics
(1925)
Equivalent alternatives to the Schrodinger equation
149
2
Quantum mechanical re-interpretation of kinematic and mechanical relations by Heisenberg (1925)
(Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen)
Matrix mechanics
24
Heisenberg picture
Matrix mechanics
11
De Broglie-Bohm theory
Equivalent alternatives to the Schrodinger equation
3
Ancestors
(6)
Quantum mechanics
Particle physics
Physics
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Path integral formulation
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Lecture 1
Quantum mechanics
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