suppose a quanton has a spin state [4/5 -3/5] what is the probability we will determine a quanton in such a state to have sy = -1/2h?
suppose a quanton has a spin state [4/5 -3/5] what is the probability we will determine...
4. Spin (10 marks) Suppose an electron is in a state such that its spin can be described by a linear superposition of the eigenspinors of S +A 32 2/22 (a) Normalise the state. (b) What are the possible outcomes of a measurement of the z-component of the spin? What is the probability of each possible result? (c) What are the expectation value and uncertainty of the z-component of the spin? (d) What are the possible results of measuring the...
[3] A spin-1/2 particle is in the state IW) 1/311) +i2/3|). (a) A measurement is made of the x component of the spin. What is the probability that the spin will be in the +z direction? (b) Suppose a measurement is made of the spin in the z direction and it is found that the particle has m,#1/2. what is the state after the measurement? (c) Now a second measurement is made immediately after to determine the spin in the...
1-3i An electron is in the spin state x A a. Determine the normalization constant A b. Find the expectation value for S c. Find the expectation values for Sx d. Find the expectation values for Sz e. If you measure S on this electron, what values you get, and what is the probability of cachn? f. If you measure on this electron, what values you get, and what is the probability of cachn? g. If you measure Sy on...
3 of 5 Problem #2 (show all your work!) spin For the state +), calculate the expectation values and uncertainties for measurements of S, Sy, and S,
Q7R.2 Suppose we have a box that emits electrons in a definite but unknown spin state | ψ). If we send electrons
The Cartesian components Sx, Sy, and Sz, of spin satisfy the commutation relation [Sx, Sy] = ihsz Measurements of Sy are performed on an ensemble of systems prepared in the state given by 14 ) = (3+i) I+) + (1 + 5i) |-) where =) are the Sy eigenkets v. Give the possible outcomes of an Sx measurement and the probability for each outcome. vi. Determine the exact uncertainty Osz in Sy and compare with the smallest value it can...
Please show work clearly :) Thank you!
[i/13] Question: Suppose the spin state of an electron is 4) = What is the probability that, when the y-spin is measured, the result will be +h/2? A) 0.169 B) 0.029 C) 0.971 D) 0.986
à 154 5. The example in question 4 was for a singlet state, which use spin 20 2px 2px 2pz wavefunctions to impart the antisymmetry property. For triplets, the This is a 1812s1 "space" wavefunctions are used to enforce the antisymmetry triplet state property. For example, the proper antisymmetric wavefunction for a 2s'1s1 spinup-spinup configuration is: (1.2) - 92s(r.)41s(2) – 42s (r2)4s(r)) 2)915}a(1)a(2) V2 2px 2py 2pz a. Let's see what happens if the two electrons are in the same...
b 2. Suppose a spin-2 particle is in the state that particle. 2,0) + 2,1) Find the expectation value of S, for D 3. In the t spin-1/2 basis, consider the two operators 2 1 12d B- (2 i A= ni 2 (a) Find the commutator [A, B (b) Suppose we measure a number of particles in state |t), using A and B. Find the average values (A) and (B) from these measurements. (c) Use the uncertainty principle to find...