Ciro Santilli
$£ Sponsor €¥
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
Schrödinger equation
toc
nosplit
words:
3k
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
3k
Schrödinger equation simulations
link
nosplit
Solutions of the Schrodinger equation
203
Why it is hard to simulate quantum systems?
link
nosplit
Schrödinger equation simulations
30
Schrödinger equation for a one dimensional particle
link
nosplit
Solutions of the Schrodinger equation
60
Schrödinger equation for a free one dimensional particle
link
nosplit
Solutions of the Schrodinger equation
5
Time-independent Schrödinger equation for a free one dimensional particle
link
nosplit
Schrödinger equation for a free one dimensional particle
0
Particle in a box
link
nosplit
Solutions of the Schrodinger equation
0
Quantum harmonic oscillator
link
nosplit
Solutions of the Schrodinger equation
81
Quantum LC circuit
link
nosplit
Quantum harmonic oscillator
13
Hermite polynomials
link
nosplit
Quantum harmonic oscillator
30
Hermite functions
link
nosplit
Hermite polynomials
5
Ladder operator
link
nosplit
Quantum harmonic oscillator
39
Quantum tunnelling
link
nosplit
Solutions of the Schrodinger equation
22
Schrödinger equation solution for the hydrogen atom
link
nosplit
Solutions of the Schrodinger equation
101
Atomic orbital
link
nosplit
Schrödinger equation solution for the hydrogen atom
48
Quantum number
link
nosplit
Schrödinger equation solution for the hydrogen atom
178
Principal quantum number (n)
link
nosplit
Quantum number
50
Azimuthal quantum number (l)
link
nosplit
Quantum number
29
s-orbital
link
nosplit
Azimuthal quantum number
0
p-orbital
link
nosplit
Azimuthal quantum number
0
d-orbital
link
nosplit
Azimuthal quantum number
0
f-orbital
link
nosplit
Azimuthal quantum number
0
Magnetic quantum number (
m
l
)
link
nosplit
Quantum number
157
Spin quantum number (
m
s
)
link
nosplit
Quantum number
0
Spectroscopic notation
link
nosplit
Spin quantum number
49
Solutions for the Schrodinger equation with multiple particles
link
nosplit
Solutions of the Schrodinger equation
4
Solutions of the Schrodinger equation for two electrons
link
nosplit
Solutions for the Schrodinger equation with multiple particles
134
Orbital approximation
link
nosplit
Solutions for the Schrodinger equation with multiple particles
7
Schrödinger equation solution for the helium atom
link
nosplit
Solutions for the Schrodinger equation with multiple particles
60
Hartree-Fock method
link
nosplit
Solutions for the Schrodinger equation with multiple particles
0
Hartree-Fock method for the helium atom
link
nosplit
Hartree-Fock method
0
Why do multiple electrons occupy the same orbital if electrons repel each other?
link
nosplit
Hartree-Fock method
55
Aufbau principle
link
nosplit
Hartree-Fock method
27
Electron configuration
link
nosplit
Aufbau principle
0
Electron configuration notation (
1
s
2
2
s
2
2
p
6
, 1s2 2s2 2p6)
link
nosplit
Aufbau principle
15
Why does 2s have less energy than 1s if they have the same principal quantum number?
link
nosplit
Aufbau principle
73
Madelung energy ordering rule
link
nosplit
Aufbau principle
99
Exception to the Madelung energy ordering rule
link
nosplit
Madelung energy ordering rule
40
Term symbol (
2
S
1
/
2
,
2
P
1
/
2
,
2
P
3
/
2
)
link
nosplit
Aufbau principle
308
Hund's rules (1927)
link
nosplit
Term symbol
97
Hund's first rule
link
nosplit
Hund's rules
18
Hund's second rule
link
nosplit
Hund's rules
0
Term symbols for carbon ground state
link
nosplit
Solutions for the Schrodinger equation with multiple particles
731
Schrödinger equation solution for molecule
link
nosplit
Solutions for the Schrodinger equation with multiple particles
0
Schrödinger equation solution for the hydrogen molecule
link
nosplit
Schrödinger equation solution for molecule
40
Chemical bond
link
nosplit
Schrödinger equation solution for molecule
0
Molecule
link
nosplit
Chemical bond
0
Isomer
link
nosplit
Molecule
24
Cis-trans isomerism
link
nosplit
Isomer
14
Enantiomer
link
nosplit
Isomer
30
Polymorphism (materials science)
link
nosplit
Isomer
13
Stereochemistry
link
nosplit
Isomer
30
Covalent bond
link
nosplit
Chemical bond
0
Sigma bond
link
nosplit
Covalent bond
0
Pi bond
link
nosplit
Covalent bond
0
Double bond
link
nosplit
Pi bond
0
Triple bond
link
nosplit
Pi bond
0
Ionic bond
link
nosplit
Chemical bond
0
Octet rule
link
nosplit
Chemical bond
0
Two-state quantum system
link
nosplit
Solutions of the Schrodinger equation
19
Bloch sphere
link
nosplit
Two-state quantum system
22
Pauli matrix
link
nosplit
Two-state quantum system
1
Ancestors
Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
Particle physics
Physics
Natural science
Science
Ciro Santilli's Homepage
Incoming links
Schrödinger equation
Time-independent Schrödinger equation