Question

An electron is in a general spin function given by ? = ?1? + ?2? where...

An electron is in a general spin function given by ? = ?1? + ?2? where ?1 and ?2

are constants. Calculate (a) ?z ? , (b) ?2 ? , and (c) (?x2 + ?y2 ) ? . (d) What is the relationship between ?1 and ?2 if we require that ? is normalized?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An electron (a spin-1/2 particle) sits in a uniform magnetic field pointed in the x-direction: B...
An electron (a spin-1/2 particle) sits in a uniform magnetic field pointed in the x-direction: B = B0xˆ. a) What is the quantum Hamiltonian for this electron? Express your answer in terms of B0, other constants, and the spin operators Sx, Sy and Sz, and then also write it as a matrix (in z basis). b) What are the energy eigenvalues, and what are the associated normalized eigenvectors (in terms of our usual basis)? You may express the eigenvectors either...
Given the function f(x, y, z) = (x2 + y2 + z2 )−1/2 a) what is...
Given the function f(x, y, z) = (x2 + y2 + z2 )−1/2 a) what is the gradient at the point (12,0,16)? b) what is the directional derivative of f in the direction of the vector u = (1,1,1) at the point (12,0,16)?
How do I solve this? Given a free electron. The Z-component of the electron's spin angular...
How do I solve this? Given a free electron. The Z-component of the electron's spin angular momentum is +ℏ/2 at some initial time t=0. The electron's spin is then measured at three different times, t=1 s, t=2 s, t=3 s respectively. The x-component of the spin is measured at t=1, and the y-component is measured at t=2. FInally, the z-component is measured at t=3. What is the probability to measure the value −ℏ/2 at time t=1 seconds? What is the...
2.1 Calculate the tangent plane to the following surfaces in the given point (a) x2 +...
2.1 Calculate the tangent plane to the following surfaces in the given point (a) x2 + y2 = 2, P = (1.1, a), where a is any number. (b) z = √x2+y2, P = (3, 4, 5). (Does the surface have a key plane in origin?). (c) z = 1.
2.1 Calculate the tangent plane to the following surfaces in the given point (a) x2 +...
2.1 Calculate the tangent plane to the following surfaces in the given point (a) x2 + y2 = 2, P = (1.1, a), where a is any number. (b) z = √x2+y2, P = (3, 4, 5). (Does the surface have a key plane in origin?). (c) z = 1.
Calculate ∫ ∫S f(x,y,z)dS for the given surface and function. x2+y2+z2=144, 6≤z≤12; f(x,y,z)=z2(x2+y2+z2)−1.
Calculate ∫ ∫S f(x,y,z)dS for the given surface and function. x2+y2+z2=144, 6≤z≤12; f(x,y,z)=z2(x2+y2+z2)−1.
2) The spin only magnetic susceptibility of an octahedral V (Z = 23) is 3.87 BM....
2) The spin only magnetic susceptibility of an octahedral V (Z = 23) is 3.87 BM. (a) What is the oxidation state of V in this complex? ( b) if the gap between HOMO and LUMO is 18000cm-1 , calculate LFSE (or CFSE). 3) An electron is removed from the above-mentioned system. (a) Will DO become larger or smaller? (b) If the DO value changes by 30%, calculate the estimate value for the LFSE. (ignore Jahn-Teller effect) (c) If you...
1.suppose that Y1 and Y2 are independent random variables 2.suppose that Y1 and Y2each have a...
1.suppose that Y1 and Y2 are independent random variables 2.suppose that Y1 and Y2each have a mean of A and a variance of B 3.suppose X1 and X2 are related to Y1 and Y2 in the following way: X1=C/D x Y1 X2= CY1+CY2 4.suppose A, B, C, and D are constants What is the expected value of the expected value of X1 given X2{E [E (X1 | X2)]}? What is the expected value of the expected value of X2 given...
57. a. Use polar coordinates to compute the (double integral (sub R)?? x dA, R x2...
57. a. Use polar coordinates to compute the (double integral (sub R)?? x dA, R x2 + y2) where R is the region in the first quadrant between the circles x2 + y2 = 1 and x2 + y2 = 2. b. Set up but do not evaluate a double integral for the mass of the lamina D={(x,y):1≤x≤3, 1≤y≤x3} with density function ρ(x, y) = 1 + x2 + y2. c. Compute??? the (triple integral of ez/ydV), where E= {(x,y,z):...
particle of mass m moves under a conservative force where the potential energy function is given...
particle of mass m moves under a conservative force where the potential energy function is given by V = (cx) / (x2 + a2 ), and where c and a are positive constants. Find the position of stable equilibrium and the period of small oscillations about it.