Problem 6 If you have a quantum system and perform a single measurement in which you...
Problem 6
If you have a quantum system and perform a single measurement in
which you measure the
observable property associated with an operator Å, what will you
measure?
no further information given on the question
Homework Answers
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Problem 6
If you have a quantum system and perform a single measurement in
which you...
I need help with this homework question: Suppose you are able to perform any quantum operations...
I need help with this homework question: Suppose you are able to perform any quantum operations on a qubit, but you are only able to measure its state in the {|0>,|1>} basis. Explain how you would go about performing a quantum measurement that would be equivalent to measuring {|+>,|->} basis. Show your result mathematically.
Consider a three-level system where the Hamiltonian and observable A are given by the matrix Aˆ...
Consider a three-level system where the Hamiltonian and
observable A are given by the matrix Aˆ = µ 0 1 0 1 0 1 0 1 0
Hˆ = ¯hω 1 0 0 0 1 0 0 0 1 (a) What are the possible
values obtained in a measurement of A (b) Does a state exist in
which both the results of a measurement of energy E and observable
A can be...
Problem 8.3 - A New Two-State System Consider a new two-level system with a Hamiltonian given...
Problem 8.3 - A New Two-State System Consider a new two-level system with a Hamiltonian given by i = Ti 1461 – 12) (2) (3) Also consider an observable represented by the operator Ŝ = * 11/21 - *12/11: It should (hopefully) be clear that 1) and 2) are eigenkets of the Hamiltonian. Let $1) be an eigenket of S corresponding to the smaller eigenvalue of S and let S2) be an eigenket of S corresponding to the larger eigenvalue....
Problem 3 For the given measurement system, which measures temperature using an RTD, of type PT100,...
Problem 3 For the given measurement system, which measures temperature using an RTD, of type PT100, that is 100 Ohms at 0 C. If R2-R3 1000 Ohms, R1 110, At what temperature the bridge will be balanced, knowing that RTD is approximated with the given 1. equation Rold(1+0.004(change in temperature)) Rew= 2. If the amplifier has a gain of 10; determine accepted RA values of Rf and Rin RS N If the output of the amplifire is limited from -2.5...
problem 2 Professor A Abdurrahman's Course on Quantum Mechanics Quantum Mechanics I- Problem Set No. 3...
problem 2
Professor A Abdurrahman's Course on Quantum Mechanics Quantum Mechanics I- Problem Set No. 3 Due to 04/30/2018. Late homework will not be accepted. Problem 1 Prove that Hint. Direct computation. Problem 2 We have been dealing with real potential V (x) so far so now suppose that V (a) is complea. Compute dt Problem 3 For the Gaussian a) 1 /4 Compute (a) (z") for all alues of n integer, and (b) Compute fors(x) given above. Hint: ?...
1 A single phase AC system Consider a single phase AC distribution system in which there...
1 A single phase AC system Consider a single phase AC distribution system in which there a single home connected to a 10kVA service transformer. Let’s assume that the primary of the distribution transformer can be modeled as an ideal 240V (rms) AC source and that the effective impedance of the transformer is 2% resistance and 3% reactance. (See lecture notes for converting % to Ohms). Connected to the secondary of the transformer is 200 ft of #6 AWG aluminum...
3.12.2 We perform an experiment in which we prepare a particle in a given quantum mechanical...
3.12.2 We perform an experiment in which we prepare a particle in a given quantum mechanical stat e and then measure the momentum of the particle. We repeat this experiment many times and obtain an average result for the momentum (p) (the expectation value of the momennum) For each of the following quantum mechanical states, give the (vector) value of (p) or, if appropriate. (p(t), where ris the time after the preparation of the state. (i) ψ(r)ocexp(ik-r (i) a particle...
Question 4: (6 points) How many quantum numbers do you have for the particle in a box model we derived in class? Ho...
Question 4: (6 points) How many quantum numbers do you have for the particle in a box model we derived in class? How many quantum numbers do you have for a Hydrogen atom? If the two are different, explain why this is so. Note: You do not need to account for spin in this problem.
Hello, I need help with a problem for my Quantum Mechanics class. Please explain as if...
Hello, I need help with a problem for my Quantum Mechanics class. Please explain as if I am learning for the first time. I want to be able to understand and do problems like this on my own. Thank you in advance for your help! The infinite square well has solutions that are very familiar to us from previous physics classes. However, in this class we learn that a quantum state of the system can be in a superposition state...
Please answer the question in full and show all work. We have seen that the absolute...
Please answer the question in full and show all work.
We have seen that the absolute square of the wave function VI,t) can be interpreted as the probability density for the location of the particle at time t. We have also seen that a particle's quantum state can be represented as a linear combination of eigenstates of a physical observable Q: V) SIT) where Q n ) = qn|n) and represents the probability to find the particle in the eigenstate...
Consider a three-level system where the Hamiltonian and
observable A are given by the matrix Aˆ = µ 0 1 0 1 0 1 0 1 0
Hˆ = ¯hω 1 0 0 0 1 0 0 0 1 (a) What are the possible
values obtained in a measurement of A (b) Does a state exist in
which both the results of a measurement of energy E and observable
A can be...
Problem 8.3 - A New Two-State System Consider a new two-level system with a Hamiltonian given by i = Ti 1461 – 12) (2) (3) Also consider an observable represented by the operator Ŝ = * 11/21 - *12/11: It should (hopefully) be clear that 1) and 2) are eigenkets of the Hamiltonian. Let $1) be an eigenket of S corresponding to the smaller eigenvalue of S and let S2) be an eigenket of S corresponding to the larger eigenvalue....
Problem 3 For the given measurement system, which measures temperature using an RTD, of type PT100, that is 100 Ohms at 0 C. If R2-R3 1000 Ohms, R1 110, At what temperature the bridge will be balanced, knowing that RTD is approximated with the given 1. equation Rold(1+0.004(change in temperature)) Rew= 2. If the amplifier has a gain of 10; determine accepted RA values of Rf and Rin RS N If the output of the amplifire is limited from -2.5...
problem 2
Professor A Abdurrahman's Course on Quantum Mechanics Quantum Mechanics I- Problem Set No. 3 Due to 04/30/2018. Late homework will not be accepted. Problem 1 Prove that Hint. Direct computation. Problem 2 We have been dealing with real potential V (x) so far so now suppose that V (a) is complea. Compute dt Problem 3 For the Gaussian a) 1 /4 Compute (a) (z") for all alues of n integer, and (b) Compute fors(x) given above. Hint: ?...
3.12.2 We perform an experiment in which we prepare a particle in a given quantum mechanical stat e and then measure the momentum of the particle. We repeat this experiment many times and obtain an average result for the momentum (p) (the expectation value of the momennum) For each of the following quantum mechanical states, give the (vector) value of (p) or, if appropriate. (p(t), where ris the time after the preparation of the state. (i) ψ(r)ocexp(ik-r (i) a particle...
Question 4: (6 points) How many quantum numbers do you have for the particle in a box model we derived in class? How many quantum numbers do you have for a Hydrogen atom? If the two are different, explain why this is so. Note: You do not need to account for spin in this problem.
Hello, I need help with a problem for my Quantum Mechanics class. Please explain as if I am learning for the first time. I want to be able to understand and do problems like this on my own. Thank you in advance for your help! The infinite square well has solutions that are very familiar to us from previous physics classes. However, in this class we learn that a quantum state of the system can be in a superposition state...
Please answer the question in full and show all work.
We have seen that the absolute square of the wave function VI,t) can be interpreted as the probability density for the location of the particle at time t. We have also seen that a particle's quantum state can be represented as a linear combination of eigenstates of a physical observable Q: V) SIT) where Q n ) = qn|n) and represents the probability to find the particle in the eigenstate...
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