1. We saw in class that a 3-dimensional ideal gas obeys pV = 3/2E, where p is the pressure, V is the volume, and E is the internal energy (average kinetic energy). Derive the corresponding formula for a two-dimensional ideal gas, i.e. a collection of noninteracting particles that moves on a plane. (Hint: suppose a two-dimensiona
See question 4 of the attached file.
See attached file.
The one dimensional parity operator (pie) is defined by attached. in other wards (phi) changes x into -x everywhere in the function (a) is it a Hermitian operator? (b) For what potentials V(x), is it possible to find a set of wave functions which are high eign- functions of the parity operator in solution of the one-dimen
Consider the Schrodinger eigenfunction equation: Please see the attached file for the fully formatted problems.
A. Given matrix A = 1 2 0 where i found the eigenvalues to be 3hw, 0, -3hw. 2 0 2 0 2 -2 then if at t=0 state-vector is 1 THEN compute the state vector at time t. 0
(See attached file for full problem description) --- 4. A particle of mass m, with energy E>0, is moving in the potential V(x) = g a. Write down the solution of the Schrodinger equation in all three regions (x<a, -a<x<a, x>a) for this situation. Assume that the particle is incident from the left. b. Write down th
(See attached file for full problem description) --- 1. Consider a particle moving in a harmonic oscillator potential V(x) = ½ kx2. A solution of the time-dependent Schrodinger equation is cn n(x)*e -i * E(n) * t / h-bar where the n are harmonic oscillator energy eigenstates. a. Calculate the energy expec
Refer to the attached jpg file. Time dependent Schrodinger equation (TDSE) in operator form.
2. (a) How does MO theory differ from Valence bond theory? (b) Explain how the above concepts of MO theory are applied to rationalize the conductivity of : i. metals ii. (SN)x [a polymer] iii. semiconductors
See attached One isotope of beryllium Be undergoes beta minus decay with a half life of around 14 seconds, and thus creates a Boron atom. The boron atom is now ionized by removing several electrons such that it can be described as a 'hydrogen like' boron ion. State how many electrons it now contains and the symbol for this i