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Author Question: When you encounter a calculation where the integral sum of the ___________ of the particle being ... (Read 64 times)

sarasara

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on: Jul 28, 2018
When you encounter a calculation where the integral sum of the ___________ of the particle being somewhere in space is greater than ___________, then the problem is most likely caused by lack of _________. Fill in the missing words.
 
  a. Wave function, the normalization, probability
 

b. Normalization, the probability, causation
  c. Boundary conditions, 0, normalization
  d. Probability, 1, normalization
  e. Probability, 0, wave function


 

Question 2

The uncertainty principle prevents one from knowing both the ____________ and the _________ for a certain particle to arbitrary precision at the same time. What are the two correct missing words?
 
A. localization in interval of time; energy
  B. energy; momentum
  C. localization in interval of time; position
  D. energy; range of angular frequencies
  E. momentum; range of wave number


Question 3

One major difference between Young's double slit interference experiment with light and Jonsson's similar experiment with electrons is that
 
A. the electrons exhibited an interference pattern only characteristic of particles and the light exhibited an interference pattern only characteristic of waves.
  B. the light must be at low intensity to produce the interference pattern while the electrons could be propelled onto the slits at very high frequency and still produce the pattern.
  C.the wavelengths of the electrons were much smaller than that of light and therefore the slits for the electron experiment were much more difficult to produce.
  D. For the electrons, the slit widths could be larger than for those of photons because of the electrons' larger momenta.


kristenb95

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Reply #1 on: Jul 28, 2018
Answer to Question 1

d.
When the integral of the probability function over any range of values is greater than one, the function most likely has not been normalized. Normalization alters coefficients of the wave function so that the probability of the particle being somewhere on the x-axis is 1. Any values greater than 1 suggest lack of normalization.

Answer to Question 2

A.
The localization in interval of time, or , and the energy E are related by Heisenberg's uncertainty principle, whose inequality prevents arbitrary precision on either value.

Answer to Question 3

C.
It was no small feat of Jonsson to produce the slits for the 50-keV electrons. At 0.005 nm, the slits for electrons are significantly smaller than those for photons.


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sarasara

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Reply #2 on: Jul 28, 2018
TY


kristenb95

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Reply #3 on: Jul 28, 2018
You're welcome


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