Consider an 3-dimensional ideal bose gas system whose dispersion
relation is given by
a) Find the mean occupation number of quantum state with a wave
vector
b) Find the total number of particles at excited
states and internal energy at temperature
and
express it in terms of Bose-Einstein integral and
thermal wave length
Consider an 3-dimensional ideal bose gas system whose dispersion relation is given by a) Find the mean occupation numb...
Explain the phenomena of "Bose-Einstein condensation" and find the critical temperature below which Bose-Einstein condensation takes place. Show that Bose-Einstein condensation does not occur in tow dimensions. We were unable to transcribe this imageп-1 1 gn(2) T(n) х" da 1er-1 Г(п) п-1 1 gn(2) T(n) х" da 1er-1 Г(п)
Consider a gas of fermion at . 1) At finite temperature , find the occupation number of the quantum state with energy . Explain qualitatively how this distribution would influence on the specific heat of the system. T 0 We were unable to transcribe this imageWe were unable to transcribe this image T 0
Quantum mechanics Consider a two-dimensional harmonic oscillator . If find the energy of the base state until second order in theory of disturbances and the energies of the first level excited to first order in . We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
3. Consider a gas of fermion at a) Express the mean number of particle , and mean energy by polylogarithm function a) For a gas of fermion with density of state , show that the chemical potential is given by b) At finite temperature find the occupation number of the quantum state with energy . Explain qualitatively how this distribution would influence on the specific heat of the system. T7 0 We were unable to transcribe this imageWe were unable...
Quantum Mechanics. Find the energies, degenerations and wave functions for the first three energy levels (ground state and first two excited states) of a system of two identical particles with spin , which move in a one- dimensional infinite well of size . Find corrections of energies to first order in if an attracting potential of contact is added. Show that in the case of "spinless" fermions, the previous perturbation has no effect. Step by step process with good handwriting,...
Quantum Mechanics. Find the energies, degenerations and wave functions for the first three energy levels (ground state and first two excited states) of a system of two identical particles with spin , which move in a one- dimensional infinite well of size . Find corrections of energies to first order in if an attracting potential of contact is added. Show that in the case of "spinless" fermions, the previous perturbation has no effect. Step by step process with good handwriting,...
Part B All this are multiple questions Part C Part D Part E Question 3 (MCQ QUESTION) [8 Marks) A hypothetical quantum particle in 10 has a normalised wave function given by y(x) = a.x-1.b, where o and bare real constants and i = V-1. Answer the following: a) What is the most likely x-position for the particle to be found at? Possible answers forder may change in SAKAI 14] a - b + ib a 0 Question 3 (MCQ...