Ciro Santilli
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Non-relativistic quantum mechanics
Quantum mechanics
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words:
5k
The first
quantum mechanics
theories developed.
Their most popular formulation has been the
Schrödinger equation
.
Table of contents
5k
Schrödinger equation
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Non-relativistic quantum mechanics
347
Time-independent Schrödinger equation
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Schrödinger equation
475
Derivation of the Schrodinger equation
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Schrödinger equation
62
Why are complex numbers used in the Schrodinger equation?
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Derivation of the Schrodinger equation
16
Schrodinger equation Hamiltonian
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Schrödinger equation
0
The Schrodinger equation Hamiltonian has to be Hermitian
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Schrödinger equation
15
Solutions of the Schrodinger equation
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Schrödinger equation
30
Schrödinger equation simulations
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Solutions of the Schrodinger equation
203
Why it is hard to simulate quantum systems?
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Schrödinger equation simulations
30
Schrödinger equation for a one dimensional particle
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Solutions of the Schrodinger equation
60
Schrödinger equation for a free one dimensional particle
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Solutions of the Schrodinger equation
5
Time-independent Schrödinger equation for a free one dimensional particle
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Schrödinger equation for a free one dimensional particle
0
Particle in a box
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Solutions of the Schrodinger equation
0
Quantum harmonic oscillator
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Solutions of the Schrodinger equation
81
Quantum LC circuit
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Quantum harmonic oscillator
13
Hermite polynomials
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Quantum harmonic oscillator
30
Hermite functions
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Hermite polynomials
5
Ladder operator
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Quantum harmonic oscillator
39
Quantum tunnelling
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Solutions of the Schrodinger equation
22
Schrödinger equation solution for the hydrogen atom
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Solutions of the Schrodinger equation
101
Atomic orbital
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Schrödinger equation solution for the hydrogen atom
48
Quantum number
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Schrödinger equation solution for the hydrogen atom
178
Principal quantum number (n)
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Quantum number
50
Azimuthal quantum number (l)
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Quantum number
29
s-orbital
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Azimuthal quantum number
0
p-orbital
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Azimuthal quantum number
0
d-orbital
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Azimuthal quantum number
0
f-orbital
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Azimuthal quantum number
0
Magnetic quantum number (
m
l
)
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Quantum number
157
Spin quantum number (
m
s
)
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Quantum number
0
Spectroscopic notation
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Spin quantum number
49
Solutions for the Schrodinger equation with multiple particles
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Solutions of the Schrodinger equation
4
Solutions of the Schrodinger equation for two electrons
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Solutions for the Schrodinger equation with multiple particles
134
Orbital approximation
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Solutions for the Schrodinger equation with multiple particles
7
Schrödinger equation solution for the helium atom
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Solutions for the Schrodinger equation with multiple particles
60
Hartree-Fock method
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Solutions for the Schrodinger equation with multiple particles
0
Hartree-Fock method for the helium atom
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Hartree-Fock method
0
Why do multiple electrons occupy the same orbital if electrons repel each other?
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Hartree-Fock method
55
Aufbau principle
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Hartree-Fock method
27
Electron configuration
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Aufbau principle
0
Electron configuration notation (
1
s
2
2
s
2
2
p
6
, 1s2 2s2 2p6)
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Aufbau principle
15
Why does 2s have less energy than 1s if they have the same principal quantum number?
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Aufbau principle
73
Madelung energy ordering rule
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Aufbau principle
99
Exception to the Madelung energy ordering rule
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Madelung energy ordering rule
40
Term symbol (
2
S
1
/
2
,
2
P
1
/
2
,
2
P
3
/
2
)
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Aufbau principle
308
Hund's rules (1927)
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Term symbol
97
Hund's first rule
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Hund's rules
18
Hund's second rule
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Hund's rules
0
Term symbols for carbon ground state
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Solutions for the Schrodinger equation with multiple particles
731
Schrödinger equation solution for molecule
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Solutions for the Schrodinger equation with multiple particles
0
Schrödinger equation solution for the hydrogen molecule
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Schrödinger equation solution for molecule
40
Chemical bond
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Schrödinger equation solution for molecule
0
Molecule
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Chemical bond
0
Isomer
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Molecule
24
Cis-trans isomerism
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Isomer
14
Enantiomer
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Isomer
30
Polymorphism (materials science)
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Isomer
13
Stereochemistry
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Isomer
30
Covalent bond
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Chemical bond
0
Sigma bond
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Covalent bond
0
Pi bond
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Covalent bond
0
Double bond
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Pi bond
0
Triple bond
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Pi bond
0
Ionic bond
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Chemical bond
0
Octet rule
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Chemical bond
0
Two-state quantum system
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Solutions of the Schrodinger equation
19
Bloch sphere
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Two-state quantum system
22
Pauli matrix
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Two-state quantum system
1
Born-Oppenheimer approximation
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Schrödinger equation
0
Uncertainty principle
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Schrödinger equation
371
Position and momentum space
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Uncertainty principle
138
Position representation
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Position and momentum space
72
Position operator
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Position and momentum space
25
Momentum operator
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Position and momentum space
61
Squeezed coherent state
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Position and momentum space
0
Energy operator
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Uncertainty principle
10
Time-energy uncertainty principle
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Energy operator
14
Angular momentum operator (Quantum angular momentum)
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Uncertainty principle
145
Total angular momentum operator
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Angular momentum operator
2
Complementarity (physics)
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Uncertainty principle
0
Conservation laws in Schrodinger equations
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Schrödinger equation
16
Conservation of the square amplitude in the Schrodinger equation
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Conservation laws in Schrodinger equations
48
Probability current
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Conservation of the square amplitude in the Schrodinger equation
0
Wave function (
ψ
)
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Schrödinger equation
86
Matter wave (1923, de Broglie hypothesis)
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Wave function
0
Electron diffraction experiment
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Matter wave
0
Diffraction of Cathode Rays by a Thin Film by Thomson and Reid (1927)
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Electron diffraction experiment
0
Davisson-Germer experiment (1927)
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Electron diffraction experiment
0
de Broglie relations
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Matter wave
74
Equivalent alternatives to the Schrodinger equation
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Non-relativistic quantum mechanics
0
Matrix mechanics (1925)
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Equivalent alternatives to the Schrodinger equation
114
Quantum mechanical re-interpretation of kinematic and mechanical relations by Heisenberg (1925) (Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen)
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Matrix mechanics
24
Heisenberg picture
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Matrix mechanics
11
De Broglie-Bohm theory
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Equivalent alternatives to the Schrodinger equation
3
Ancestors
Quantum mechanics
Particle physics
Physics
Natural science
Science
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Incoming links
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