Evaluate the normalization constant for the eigenstates

Assignment Help Chemistry
Reference no: EM13275120

The particle on a ring problem can be used to model electronic transitions in an aromatic hydrocarbon ring (benzene, naphthalene). For a particle on a ring, a particle of mass m is xed to move on a ring of radius a in the xy plane. The Hamiltonian of this system is H^ = ~ 2 2I d 2 d2 , I is the moment of inertia, I = ma 2 and  is the angle of the x-axis in the xy plane, which ranges from 0 to 2. a) Find the energy eigenstates for the system. b) Compute the normalization constant for these eigenstates. c) What is the boundary condition for this problem? d) What does this restrict the allowed energies of the system to be? e) What is the degeneracy of the energy levels

Reference no: EM13275120

Questions Cloud

At what value of parasitic power does the addition of pump : A current generated in the stack and a stack voltage of 6.0 V. As an engineer, you have a choice to install a recirculation pump to recycle the unused hydrogen from the anode exhaust back into the anode to increase the effective fuel utilization t..
Calculate the value of each investment based : How does this affect your answers to parts A and B? What required rates of return would make you indifferent to all three options?
Find magnitude of the current density in a sample of silver : Find the magnitude of the current density in a sample of silver for which σ=6.17x10^7 S/m if: a) The electric field intensity is 1mV/meter. b) The same is a cube 2.5mm on a side having a voltage of 0.4mV between opposite faces.
Calculate the depreciation expense : You are given the following information for Calvani Pizza Co.: sales = $51,000; costs = $21,700; addition to retained earnings = $10,250; dividends paid = $800; interest expense = $4,100; tax rate = 35 percent. Calculate the depreciation expense.
Evaluate the normalization constant for the eigenstates : Find the energy eigenstates for the system. Compute the normalization constant for these eigenstates. What is the boundary condition for this problem. What does this restrict the allowed energies of the system to be? e) What is the degeneracy of t..
What is the value of the firm current liabilites : A firm's balance sheet shows current assets of $410, net fixed assets of $685, long-term debt of $320, and owners' equity of $590. What is the value of the firm's current liabilites?
Desgin a four-bit combinational circuit 2s complenmter : desgin a four-bit combinational circuit 2's complenmter.(the output generate complement of the input binary). then construct truth table for the input and correspondinf output. use kmap to find each outpt in terms of of inputs.
Find transfer function between motor voltage and pressure : The fluid travels through a conduit of negligible resistance; an accumulator is included to smooth out the pulsations of the pump. A hydraulic load (modeled by a fluid resistance R) is connected between a pipe and a reservoir (assumed at zero pres..
Why the return on equity ratio is so much less favorable : Explain why the return on equity ratio is so much less favorable than the return on assets ratio compared to the industry Return on asset 12% Industry 5 % Return on equity 16% Industry 20%.

Reviews

Write a Review

Chemistry Questions & Answers

  What is the equilibrium partial pressure (in atm) of h2s

At 295 K, Keq = 7.0 x 10-2 for the following equilibrium:  NH4HS(s) = NH3(g) + H2S(g)  What is the equilibrium partial pressure (in atm) of H2S

  Compute the volume of liquid h2o formed if the reaction

Consider the combustion reaction between 26.0 mL of liquid methanol (density=0.850g/mL) and 13.0 L of oxygen gas measured at STP. The products of the reaction are CO2(g) and H2O(g),

  Explain what are the coefficients for oh

Balance the following redox reaction as it occurs in the basic solution. What are the coefficients for OH^- an ClO^- in the balanced equation? Cr(OH)4^- (aq) _ ClO^- (aq) arrow CrO4^2- (aq) + Cl^- (aq)

  Define what is the volume of the second container

A sample of H2 gas has a pressure of 0.695 atm in a 269 mL flask. The sample is transferred to another container where it exerts a pressure of 0.330 atm. What is the volume (mL) of the second container at the same temperature

  State what is the mole fraction of no knowing

If a cylinder of NO has a volume of 20.00L and a pressure of 26.98 atm at 20 degrees Celcius, what is the mole fraction of NO knowing that there are 21.55moles of Nitrogen?

  How to react solid aluminum to produce solid iron

Solid iron(III) oxide reacts with solid aluminum to produce solid iron and solid aluminum oxide. If 50.0 grams of iron(III) oxide were mixed with 50.0 grams of aluminum, what maximum mass of iron metal could be produced?

  State how many years would it take

how many years would it take for a 10-gram sample of U-238 to decrease to 2.5 grams?

  Finding the concentration of fe2+ in equilibrium

At pH 6.00 and pE 2.10, what is the concentration of Fe2+ (mol/L) in equilibrium with Fe(OH)3?

  Explain the appropriateness of using the ideal gas law

Given a mean free path, comment on the appropriateness of using the ideal gas law to determine the number density of a sample at a critical point.

  Explain how would prepare a water in ethyl alcohol solution

How would you prepare a 25.0% water in ethyl alcohol solution using 100.0 ml of ethyl alcohol (the density of alcohol is 0.7893 g/ml)

  Calculate the molar mass (g/mol) of a gas

Calculate the molar mass (g/mol) of a gas whose root mean square speed is 796 m/s at 512 K.

  How many grams of sodium lactate should be added

How many grams of sodium lactate should be added to 1.00 L of 0.150 lactic acid ( or ) to form a buffer solution with = 4.10? Assume that no volume change occurs when the sodium lactate is added.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd