Homework 3: Due in class on Monday, Oct 21st, 2013
... whose specific form we will not need, but for S = 1/2 it is ~σ /2. Such a system has 2S + 1 degenerate states for ~h = 0, which is 2 for S = 1/2. Initially, the system is prepared in a state having a definite projection of the spin on the field, |N i, where N measures the component of the spin along ...
... whose specific form we will not need, but for S = 1/2 it is ~σ /2. Such a system has 2S + 1 degenerate states for ~h = 0, which is 2 for S = 1/2. Initially, the system is prepared in a state having a definite projection of the spin on the field, |N i, where N measures the component of the spin along ...
Bethe-Salpeter Equation with Spin
... • Where G is the two-particle Green’s function and all the fields are in the Heisenberg representation. These are the fully dressed fields with their self-interactions. The fields ‘a’ and/or ‘b’ can be spin-1/2, spin-0 or spin-1. • The original derivation (done by both Bethe & Salpeter and Schwinge ...
... • Where G is the two-particle Green’s function and all the fields are in the Heisenberg representation. These are the fully dressed fields with their self-interactions. The fields ‘a’ and/or ‘b’ can be spin-1/2, spin-0 or spin-1. • The original derivation (done by both Bethe & Salpeter and Schwinge ...
semester ii
... relation - Schrodinger picture and Heisenberg picture - behaviour of state kets and observables in Schrodinger picture and Heisenberg picture - Heisenberg equation of motion Ehrenfest’s theorem - time evolution of base kets - transition amplitude – energy eigenket and eigen values of a simple harmon ...
... relation - Schrodinger picture and Heisenberg picture - behaviour of state kets and observables in Schrodinger picture and Heisenberg picture - Heisenberg equation of motion Ehrenfest’s theorem - time evolution of base kets - transition amplitude – energy eigenket and eigen values of a simple harmon ...
An introduction to Quantum Optics
... • Light can behave like a classical particle » One photon interferences • Light can behave like a non classical state » Two photon interferences ...
... • Light can behave like a classical particle » One photon interferences • Light can behave like a non classical state » Two photon interferences ...
the squared modulus of the wave function is the probability density
... First, let’s shortly recapitulate what we told about probability density. Recently, we talked about the probability of finding a particle in the x region between x and x + dx in a 1-D quantum well. This probability Is related to the particle-in-the-well wavefunction as: ...
... First, let’s shortly recapitulate what we told about probability density. Recently, we talked about the probability of finding a particle in the x region between x and x + dx in a 1-D quantum well. This probability Is related to the particle-in-the-well wavefunction as: ...
Quantum Field Theory I
... where the angular frequency ω and the wave vector ~k are related as ~k 2 ω= ...
... where the angular frequency ω and the wave vector ~k are related as ~k 2 ω= ...
Boltzmann factors and partition functions revisited
... Quantized molecular energy levels can often be written to very good approximation as the sum of independent contributions from translational, rotational, vibrational and electronic motions (17.45) vib elec ε = εtrans + εrot i j + εk + ε ` ...
... Quantized molecular energy levels can often be written to very good approximation as the sum of independent contributions from translational, rotational, vibrational and electronic motions (17.45) vib elec ε = εtrans + εrot i j + εk + ε ` ...
PPTX
... If a deformed commutator applies to the coordinates of a fundamental constituent, then its effect on a macroscopic object (composed of N such constituents) should decrease as 1/N • what is a fundamental constituent? • geometrical properties of space-time property of each particle ...
... If a deformed commutator applies to the coordinates of a fundamental constituent, then its effect on a macroscopic object (composed of N such constituents) should decrease as 1/N • what is a fundamental constituent? • geometrical properties of space-time property of each particle ...
Quantum Field Theory
... For the reasons explained above we need to extend our single particle Hilbert space. We introduce a multi-particle Hilbert space which is called a Fock space. It consists of states labelled by the momenta (and later also spins, as well as any other quantum numbers) of an arbitrary number of particle ...
... For the reasons explained above we need to extend our single particle Hilbert space. We introduce a multi-particle Hilbert space which is called a Fock space. It consists of states labelled by the momenta (and later also spins, as well as any other quantum numbers) of an arbitrary number of particle ...
Chapter 41. One-Dimensional Quantum Mechanics
... A Particle in a Rigid Box Consider a particle of mass m confined in a rigid, one‐ dimensional box. The boundaries of the box are at x = 0 and x = L. 1. The particle can move freely between 0 and L at constant speed and thus with constant kinetic constant speed and thus with constant kinetic ene ...
... A Particle in a Rigid Box Consider a particle of mass m confined in a rigid, one‐ dimensional box. The boundaries of the box are at x = 0 and x = L. 1. The particle can move freely between 0 and L at constant speed and thus with constant kinetic constant speed and thus with constant kinetic ene ...
