Ciro Santilli
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Non-relativistic quantum mechanics
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"Quantum mechanics"
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"Quantum mechanics"
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4k
The first
quantum mechanics
theories developed.
Their most popular formulation has been the
Schrödinger equation
.
Table of contents
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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
link
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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
link
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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"
147
Principal quantum number (n)
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"Quantum number"
50
Azimuthal quantum number (l)
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"Quantum number"
2
s-orbital
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"Azimuthal quantum number"
0
p-orbital
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"Azimuthal quantum number"
0
d-orbital
link
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"Azimuthal quantum number"
0
f-orbital
link
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"Azimuthal quantum number"
0
Magnetic quantum number (m_l)
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"Quantum number"
38
Solutions for the Schrodinger equation with multiple particles
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"Solutions of the Schrodinger equation"
13
Solutions of the Schrodinger equation for two electrons
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"Solutions for the Schrodinger equation with multiple particles"
134
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
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
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)
link
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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
link
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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
link
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"Uncertainty principle"
10
Time-energy uncertainty principle
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"Energy operator"
14
Angular momentum operator
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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)
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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
Ciro Santilli's Homepage
Incoming links
Path integral formulation
Quantum field theory
Lecture 1
Quantum mechanics
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