Consider n identical particles. assume that the particle-particle interactions can be neglected and that the lamiltonian is the sum of n identical and independent hamiltonian operators with known cigenvalues i (a) what is te energy of the ground state (in terms of the eigevas) if these particles are spin-0 bosons? what is the energy if the particles are spin-1/2 fermions and their amiltonians do not depend on spin? (b) consider the case of hree such particles and write down the ground state wavefunctions for bosons in terms of the single particle wave functions ψ,#2, and s. (c) now write down the ground state wavefunctions for three identical fermions. add in spin degrees of freedom (e. g. ψ1.t or as necessary.

Jessie ran 5000 meters from the cops and an average speed of 6 meters / second before he got caught . how long did he run?

Explain the difference between each pair of concepts. a. frequency and relative frequency b. percentage and relative frequency a. select the correct choice below. a. frequency is the total number of observations in a data set. relative frequency is the number of times a particular distinct value occurs. b. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of a value to the total number of observations. c. frequency is the total number of observations in a data set. relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency. d. frequency is the number of times a particular distinct value occurs. relative frequency is the ratio of the frequency of two different values.

Which statement describes the formation of our sun? a disk formed of long trails of stars coiled into a spiral. it formed an elliptical flattened disk. heat and gases contracted within a nebula. gravity pushed stars away from a center core.