# Weinberg Lectures On Quantum Mechanics

On this page you can read or download Weinberg Lectures On Quantum Mechanics in PDF format. We also recommend you to learn related results, that can be interesting for you. If you didn't find any matches, try to search the book, using another keywords.

lecture notes quantum mechanics

We say that a particle has spin s if its inner degree of freedom is described by a representation of the rotations group of dimension 2s +For example, ”spin 1 ” can be described by a representation 2 of dimension 2, and ”spin 1” can be described by a representation of dimensionIn order to make this abstract statement clearer we will look at several examples. • •lecture notes quantum mechanics part

ˆ Thus the time-independent Schr¨dinger equation can be written as the eigenvalue equation of operator H o ˆ Hψ = Eψ which is the same as what we met in the introduction. And the expectation value of the total energy is ∫ ∫ ∫ 2 2 ˆ ⟨H⟩ = ψ ∗ Hψdx = E |ψ| dx = E |Ψ| dx = E (Notice that the normalization of Ψ entails the normalization of ψ.) Moreover, ( ) ( ) ˆ ˆ ˆ ˆ ˆ H 2 ψ = H Hψ = H (Eψ) = E Hψ = E 2 ψ and hence ⟨ 2⟩ H = So the variance of H is ⟨ ⟩ 2 2 σH = H 2 − ⟨H⟩ = E 2 − E 2 = 0 But remember, if σ = 0.lectures on quantum mechanics

.We expose the Schr¨dinger quantum mechanics with traditional applications to Hydrogen atom: o the calculation of ., the Heiseno berg representation, the selection rules, the calculation of quantum and classical scattering of light (Thomson’s cross section), photoeﬀect (Sommerfeld’s cross section), quantum and classical scattering of electrons (Rutherford’s cross section), normal. theoretical concepts: the introduction of the quantum stationary states, charge density and electric current density, quantum magnetic moment, electron spin and spin.
English ▼