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Chap 6.
Chap 6.

... values, ± 12 . The electron is said to be an elementary particle of spin 12 . The proton and neutron also have spin 12 and belong to the classification of particles called fermions, which are govened by the Pauli exclusion principle. Other particles, including the photon, have integer values of spi ...
Lecture 8 - Pauli exclusion principle, particle in a box, Heisenberg
Lecture 8 - Pauli exclusion principle, particle in a box, Heisenberg

... for a two particle system is a function of the coordinates of particle 1, x 1 , the coordinates of particle 2, x 2 and the time, i.e.   x 1, x 2, t . Such a wavefunction is governed by the Schrödinger equation as before and the energy is the total energy of the system. If particle 1 is in a state ...
Lecture5.EMfield
Lecture5.EMfield

... Notice that for the EM field, we started with the E and B fields –and showed that the relativistic “field” was a superposition of an infinite number of individual “plane wave” particles, with momentum k . The second quantization fell out naturally. ...
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Syllabus :

... the Newton formulation of mechanics and of basic electromagnetism and thermodynamics from introductory physics courses. ...
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PHYS 212 - Modern Physics - American University of Beirut

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12.5.2. QCD

... matrices for SU(2). The correspondent gauge theory thus contains 8 independent gauge fields with 8 associated gauge bosons. The latter are called gluons since they glue the quarks together to form hadrons. Like the quarks, these gluons seem to be confined permanently inside the hadrons. Evidence of ...
Orbitals and Quantum Numbers
Orbitals and Quantum Numbers

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... is impossible to find both the speed and position of an electron simultaneously. Name the scientist and idea. ...
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Lecture 9 1 Measurement and expectation values

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Building Invariants from Spinors

... In quantum mechanics, a basic quantity that is invariant under any symmetry transformation is the inner product ⟨ψ1 |ψ2 ⟩ between state vectors. Translating to the spin-z basis, we can say that if ψ1 and ψ2 are the explicit two-component vectors representing any two states, that under a rotation, th ...
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... during the emission of atomic spectra. ...
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... additional constant of the motion, the Lenz vector A, which points along the major axis of the ellipse.2,3 This results in an orbit that does not precess. Quantum mechanically, A corresponds to an additional operator  that commutes with the Hamiltonian Ĥ as shown by Pauli in his landmark paper.4 ...
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Lecture 3 Operator methods in quantum mechanics

... Although wave mechanics is capable of describing quantum behaviour of bound and unbound particles, some properties can not be represented this way, e.g. electron spin degree of freedom. It is therefore convenient to reformulate quantum mechanics in framework that involves only operators, e.g. Ĥ. Ad ...
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Chapter 3, Lecture 2

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Topological Insulators

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DirectProducts

... All angular momentum commutator relations still valid. J3 is still diagonal. But OOPS! 2 J is no longer diagonal! The best that can be done is to block diagonalize the representation m = j1 + j2 only one possible state (singlet) gives this maximum m-value! ...
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... Quantum mechanics is the basis of all of modern physics, and has been so since the 1920s ...
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... The wave-particle duality is fundamental to quantum mechanics. Light can behave like a particle (photon); matter can behave like a wave. The wavelength associated with a particle is inversely proportional to its momentum p: λ = h / p, where h is Planck’s constant. For cold atoms, the wavelength is l ...
Microsoft PowerPoint
Microsoft PowerPoint

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Symmetry in quantum mechanics

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