The constant potential not depend on the spatial coordinate

Assignment Help Chemistry
Reference no: EM13270264

Consider an electron moving from left to right (toward positive x) in a constant potential of V = 2.0 eV with total energy, E = 5.0 eV. Let the electron be described as a free particle such that the constant potential DOES NOT depend on the spatial coordinate, x.

a) Solve for the exact free particle wavefunction describing the electron.

b) Can you use the momentum operator to obtain for the precise momentum of the electron? If so, what is the eigenvalue?

c) On the basis of your answer from part b, what knowledge can you have of the position of the electron? Can you relate this to the shape of the potential?

Reference no: EM13270264

Questions Cloud

What is the combined mass of all the people : A rectangular boat is overloaded so that the water level (in fresh water) is just one centimeter (1.0 cm) below the top of the boat. what is the combined mass of all the people and the boat combined
Estimate and plot the vapor pressure of neat methacrylate : Estimate and plot the vapor pressure (atm) of neat methacrylate, dioctyl phthalate and 2,3,7,8-octachlorodibenzodioxin over the temperature range 0oC-25oC.
What is cost of equity raised by selling new common stock : Trahan Lumber Company hired you to help estimate its cost of capital. You obtained the following data: D1 = $1.25; P0 = $15.00; g = 5.00% (constant); and F = 6.00%. What is the cost of equity raised by selling new common stock?
What is the bank cost of preferred stock : Sixth Fourth Bank has an issue of preferred stock with a $6.40 stated dividend that just sold for $126 per share.
The constant potential not depend on the spatial coordinate : Consider an electron moving from left to right (toward positive x) in a constant potential of V = 2.0 eV with total energy, E = 5.0 eV. Let the electron be described as a free particle such that the constant potential DOES NOT depend on the spatia..
Write a brief summary of your assessment findings : Write a brief summary of your assessment findings and what significant discoveries did you make about the individual you chose to assess?
How will individual health insurance change in 2014 : How will individual health insurance change in 2014 now that the Supreme Court decision deemed the 2010 health-care-reform law as constitutional?
Explain the difference in ph units between the initial ph : What is the difference (in pH units) between the initial pH of a 0.20 M NH3 / 0.20 M NH4Cl buffer to the pH of the buffer after the addition of 10.0 mL of 0.10 M HCl to 65.0 mL of the buffer
Find the output voltage and total impedance : There is a 3 ohm resistor and j4 ohm inductor in series with each other. There is a 4 ohm resistor, a -j13 ohm capacitor, and a 10 ohm resistor in series with each other.These two series circuits are in parallell with each other.

Reviews

Write a Review

Chemistry Questions & Answers

  What will the volume of the ball be

basketball with a volume of 3.50 Liters is left in a car when the temperature is 298 K. What will the volume of the ball be as the car heats up to 305 K during the day?

  Explain the temperature of the calorimeter and its contents

The temperature of the calorimeter and its contents increases from 20.00 C to 23.69 C. What is the heat capacity of the calorimeter (J/C)

  State electron from the ground state to the energy level

these three particles which would require radiation of the lowest wavelenth to excite its electron from the ground state to the second energy level?

  What is the osmotic pressure of a solution

What is the osmotic pressure of a solution made from dissolving 85.0 g of glucose, rm C_6H_{12}O_6, in 300 mL of water at 45.0{^circ}C?

  Determine the concentration of salt

What is the concentration of g salt per 100 g water of a saturated solution in which 3.82 g of salt are dissolved in 9.54 g of water?

  How many moles of gas are there in a container

how many moles of gas are there in a 45.0 l container at 25.0 degress celcius and 500.0 mm hg

  Compute the value of vap for this liquid

A certain liquid has a vapor pressure of 92.0 Torr at 23.0 °C and 400.0 Torr at 45.0 °C. Calculate the value of ?H°vap for this liquid.

  How many grams of water are present in the sample

The freezing point (Tf) for t-butanol is 25.50°C and Kf is 9.1°C/m. Usually t-butanol absorbs water on exposure to the air. If the freezing point of a 9.2-g sample of t-butanol is measured as 24.59°C, how many grams of water are present in the sam..

  State what will be the new ph and the change in ph

If you prepare a liter of 0.02 M acetic acid and 0.01 M sodium acetate, what will be the pH if the pKa of acetic acid is 4.76? b) If you add 1 ml of 5 M NaOH to the 1 liter above, what will be the new pH and the change in pH?

  How many moles of oxygen are consumed

how many moles of oxygen are consumed each time 0.500 mole of P2O5 is formed?

  Calculate the amount of naf in milligrams

Water supply in a city is fluoridated by adding NaF. The preferred concentration of F- is 1.6ppm.calculate the amount of Naf in milligrams should be added per gallon (treated water) if the water supply is 0.2 ppm in F-?

  Explain if the imaging agent had an initial rate

If the imaging agent had an initial rate of 7500 decays per minute (dpm) and if the imagine required 1 hour to complete, what would the decay rate be immediately after the test is completed?

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