Ciro Santilli
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中国独裁统治 China Dictatorship 新疆改造中心、六四事件、法轮功、郝海东、709大抓捕、2015巴拿马文件 邓家贵、低端人口、西藏骚乱
Solutions of the Schrodinger equation
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"Schrödinger equation"
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"Schrödinger equation"
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https://en.wikipedia.org/wiki/List_of_quantum-mechanical_systems_with_analytical_solutions
As always, the best way to get some intuition about an equation is to solve it for some simple cases, so let's give that a try with different fixed potentials.
Table of contents
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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"
15
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"
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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"
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Term symbols for carbon ground state
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"Solutions for the Schrodinger equation with multiple particles"
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Schrödinger equation solution for molecule
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"Solutions for the Schrodinger equation with multiple particles"
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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
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Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
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Schrödinger equation
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