a.Consider a hypothetical gas of four distinguishable particles, labeled W, X, Y and Z. Assume that...

a.Consider a hypothetical gas of four distinguishable particles, labeled W, X, Y and Z. Assume that they are distributed between only two translational quantum states of energies 2E and 4E. How many different configurations of this gas are there?

b.Consider a hypothetical gas of three distinguishable particles, labeled A, B and C. Each of the particles has only three quantum states of energies 5E, 10E and 15E. How many different configurations of this gas have a total energy of 30E?

c.Consider a hypothetical gas of three identical particles, each of which has only three quantum states of energies 3E, 6E and 9E. List all the different configurations of this gas that have a total energy of 18E assuming that the particles are (i) identical bosons and (ii) identical fermions.

d.Consider a hypothetical gas of four identical bosons, each of which has only four quantum states of energies E, 2E, 3E and 4E. Suppose the total energy of the gas is fixed at 12E. Determine the probability of finding all four particles in the same quantum state.

Expert Solution

genius_generous answered 2 years ago

are gas particles distinguishable or indistinguishable

Assume the following preference order for four goods, w, x, y, and z, of a total...

Assume the following preference order for four goods, w, x, y, and z, of a total of 26 people: # of people 9 6 2 4 5 W X Y Y Z Z Y X Z X X Z Z X Y Y W W W W You want to extract the will of the group and employ different rules. What is the group's preference order when you employ: A) Plurality Vote B) Condorcet Vote C) Borda Count D) "Vote...

Please explain this prolog code line by line. union([X|Y],Z,W) :- member(X,Z), union(Y,Z,W). union([X|Y],Z,[X|W]) :- \+ member(X,Z),...

Please explain this prolog code line by line. union([X|Y],Z,W) :- member(X,Z), union(Y,Z,W). union([X|Y],Z,[X|W]) :- \+ member(X,Z), union(Y,Z,W). union([],Z,Z).

Assume that the variables w, x, y, and z are stored in memory locations 16, 32,...

Assume that the variables w, x, y, and z are stored in memory locations 16, 32, 48, and 128 respectively. Translate the following algorithmic operations into MIPS language equivalents: [Assume $s1 is the base register, and $s1 contains the address of memory location 0] if ((x – y) ³ w) then set x to y else: set x to z endif

The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(7,8,10,11,13) + D(5,...

The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(7,8,10,11,13) + D(5, 9, 15). (25 points) a) Draw the K-Map and find the minimal sum-of-products expression for this function. b) Draw the circuit implementing this expression c) Give all input pair or pairs where transition between them would create a timing hazard d) Draw the timing diagram showing the glitch corresponding to the pair or one of the pairs. Assume ALL gate delays are equal e)...

Solve the following system : w ′ + y = sin x y ′ − z...

Solve the following system : w ′ + y = sin x y ′ − z = ex z ′ + w + y = 1; w(0) = 0, y(0) = 1, z(0) = 1

A paint company has four manufacturing plants (W, X, Y, and Z) that require 30,000, 20,000,...

A paint company has four manufacturing plants (W, X, Y, and Z) that require 30,000, 20,000, 10,000, and 20,000 paint cans, respectively. Three paint can suppliers (A, B, and C) have indicated their willingness to supply up to 40,000, 20,000, and 30,000 cans per month, respectively. The total cost (shipping plus price) of delivering 100 cans from each supplier to each manufacturing plant is as below. Manufacturing plant supplier W X Y Z A $54 $48 $50 $46 B 52...

Consider the configuration of particles shown below. These four particles form a square in the x-y...

Consider the configuration of particles shown below. These four particles form a square in the x-y plane with sides of 5.2 cm. Particle 1 is an electron, particles 2 and 3 are protons, while particle 4 is a neutron. The electron moves in the +y direction at 1.1x105 m/s, while the other three particles are essentially motionless. a) Find the electric field at particle 1’s location and the electric force acting on it. b) Find the electric potential at particle...

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and...

Four particles are in a 2-D plane with masses, x- and y- positions, and x- and y- velocities as given in the table below: m x y vx vy 1 7.6 kg -2.6 m -4.7 m 3 m/s -4.1 m/s 2 9.3 kg -3.5 m 3.6 m -4.9 m/s 5 m/s 3 8.9 kg 4.4 m -5.5 m -5.9 m/s 2 m/s 4 8.6 kg 5.4 m 2.5 m 4.2 m/s -2.9 m/s 1) What is the x position of...

Suppose x,y ∈ R and assume that x < y. Show that for all z ∈...

Suppose x,y ∈ R and assume that x < y. Show that for all z ∈ (x,y), there exists α ∈ (0,1) so that αx+(1−α)y = z. Now, also prove that a set X ⊆ R is convex if and only if the set X satisfies the property that for all x,y ∈ X, with x < y, for all z ∈ (x,y), z ∈ X.

Question