Professor M does Science
The Heisenberg picture in second quantization
39:37
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The Hamiltonian in terms of quantum field operators
23:12
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The Hamiltonian in second quantization
15:52
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Operators in terms of quantum field operators
21:17
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Commutators and anticommutators of field operators
13:19
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Quantum field operators
15:59
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Problems + Solutions!
2:40
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Homogeneous first order ordinary differential equations
17:29
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Differential equation for concentric circles
9:39
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Separable first order ordinary differential equations
19:04
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Channel update: launching maths videos!
1:50
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2-state quantum systems: energy eigenstates
21:13
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2-state quantum systems: energy eigenvalues
19:53
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2x2 matrices in terms of Pauli matrices
16:02
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The Pauli matrices
16:58
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The hydrogen spectral series
24:57
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The hydrogen atom energy spectrum
22:27
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The hydrogen atom ground state
29:53
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Hydrogen atom: eigenvalues and eigenfuctions
38:04
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3D isotropic quantum harmonic oscillator: eigenvalues and eigenstates
30:58
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The quantum virial theorem
22:55
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Schrödinger vs. Heisenberg pictures of quantum mechanics
35:12
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Hydrogen atom: power series solution
46:14
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3D isotropic quantum harmonic oscillator: power series solution
39:41
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The hydrogen atom
18:43
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Two interacting quantum particles: relative motion
30:10
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The spherical harmonics
23:24
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Degeneracies of the 3D quantum harmonic oscillator
23:29
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The 3D quantum harmonic oscillator
22:41
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Eigenvalues and eigenstates in tensor product state spaces
11:24
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Coherent state wave function || Concepts
14:59
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Coherent state wave function || Maths
16:27
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The displacement operator in quantum mechanics
20:08
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Minimum uncertainty states in quantum mechanics
24:50
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The time-energy uncertainty principle
18:14
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Quasi-classical states: does the quantum harmonic oscillator ACTUALLY oscillate??
22:40
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Coherent states in quantum mechanics
22:06
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Constants of motion in quantum mechanics
8:49
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The Ehrenfest theorem
23:56
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Functions of operators in quantum mechanics
19:28
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The radial equation of central potentials
24:42
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Central potentials in quantum mechanics
14:46
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Commutator algebra in quantum mechanics
8:11
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The time evolution operator in quantum mechanics
17:50
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Unitary operators in quantum mechanics
19:51
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Hermite polynomials and the quantum harmonic oscillator
26:40
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Eigenstates of the quantum harmonic oscillator
18:48
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Eigenvalues of the quantum harmonic oscillator
17:12
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Even and odd operators in quantum mechanics
21:55
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Ladder and number operators of the quantum harmonic oscillator
15:27
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The parity operator in quantum mechanics
19:27
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The quantum harmonic oscillator
11:06
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Density operator for mixed quantum states
20:09
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Pure vs. mixed quantum states
13:25
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Orbital angular momentum eigenfunctions
22:52
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Orbital angular momentum eigenvalues
16:26
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Orbital angular momentum in quantum mechanics
17:51
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The Schrödinger equation
18:40
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Useful notation for angular momentum eigenvalues
16:38
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Angular momentum eigenvalues
24:46
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The Heisenberg uncertainty principle || Proof
12:40
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The Heisenberg uncertainty principle || Deep dive
18:36
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Expectation values in quantum mechanics
19:13
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Ladder operators in angular momentum
21:48
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State collapse in quantum mechanics
11:18
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Angular momentum in quantum mechanics
17:30
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Measurements in quantum mechanics || Mathematical details
13:49
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Measurements in quantum mechanics || Concepts
10:08
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Changing basis in second quantization
11:10
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Changing basis in quantum mechanics
9:42
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Two body operators in second quantization
16:19
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One body operators in second quantization
20:11
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Fermion creation and annihilation operators
17:35
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Boson creation and annihilation operators
14:37
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Fock space: variable number of quantum particles
7:42
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Occupation number representation of quantum states
19:32
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Density operator for pure quantum states
16:12
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Bosons and fermions: the symmetrization postulate
17:47
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Is quantum mechanics "broken"? | Exchange degeneracy
9:23
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Symmetric and antisymmetric states of many quantum particles
14:45
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Permutation operators in quantum mechanics
17:35
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Identical particles in quantum mechanics
8:13
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Projection operators in quantum mechanics
11:27
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Tensor product state spaces
13:52
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Compatible observables in quantum mechanics
15:41
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Hermitian operators in quantum mechanics
13:42
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Eigenvalues and eigenstates in quantum mechanics
17:51
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Matrix formulation of quantum mechanics
10:53
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Representations in quantum mechanics
15:08
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Try it yourself: the adjoint operator in quantum mechanics
6:10
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What happens after a quantum measurement?
15:14
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Infinite square well in quantum mechanics
18:28
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Operators in quantum mechanics
13:07
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Dirac notation: state space and dual space
17:20
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Position and momentum operators acting on wave functions
14:08
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The translation operator in quantum mechanics
9:47
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Wave functions in quantum mechanics
19:19