Representation of many particle states as fock states

Related BrainMass Solutions

• Excited states of noninteracting Fermion and Bose systems

  representation in terms of occupation numbers.

• Spatial orbitals and electron states

  474265 Spatial Orbitals and Electron States In terms of one-electron integrals h and two-electron integrals J and K over spatial orbitals, what is the Hartree-Fock energy of the Be atom?

• Number of bound states in a finite square well

  a) Approximately how many bound states does the particle have in a well of the same depth but width 2L? b) Approximately how many states does the particle have in a width L but depth 2V_0?

• Derivation of Virial Theorem in Quantum Mechanics

  570256 Derivation of Virial Theorem in Quantum Mechanics Solving for Virial Theorem (look at image attached for better symbol representation) a.

• Discrete Math and Integral Solutions

  To count the number of m-particle states, consider representing some arbitrary m-particle state as follows. The Y_{r} specify how many particles there are in state r, so we can represent this by drawing r X's.

• Delta function perturbation switched on and off

  representation of the identity operator next to V(t).

• Difference between Bose-Einstein and Fermi-Dirac statistics

  So, many particle fermion states will have either zero or one particle in the single particle states. In statistical mechanics we call the restriction to at most one particle in each single particle state Fermi-Dirac statistics.

• Spin Angular Momentum

  Here is the outline: 1. since |m| <= s and m jumps by interval of 1 you have four states - so the matrix is 4x4 2. The matrix element ij is < i | S++ | j > 3. Apply S++ on the states.

• Partition functions of boxes containing bosons or fermions

  If you have two particles then r must specify the states of the two particle system and E_{r} is the energy of the two particle system r.