# Question: consider a quantum particle of mass m in a twodimensional...

###### Question details

Consider a quantum particle of mass m in a two-dimensional
periodic box of area L^{2}

(a) What is the number of single-particle quantum states with energy less than E ?

(b) What is the density of the single-particle states as a function of E ?

(c) If m=m_e (i.e., equal to the electron mass) and L= 1 cm (quite a sizable system), what is the numerical value of the density of single-particle quantum states?