The hamiltonian of a spin in a magnetic field is given by a(bbysy+b, s), where α and the three components of b are all constants. (a) compute the energies and corresponding eigenstates of this system (b) let by-0 and b = 0. (i) use the energies and eigenstates for this case to determine the time evolution ψ(t) of a state with initial condition ψ(0) (ii) calculate the expectation values 〈s) and (s) as a function of tine. (iii) use a taylor expansion to show that the time-evolution operator u(t) exp(-iht/h) can be written as (e)s()i - isin(ut)x, where i is the identity operator, x (2/h)s, and w ab/2. hint: use the pauli matrix representation of the spin operator and show that

Answer: a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same sign as the  -4.0  µc charge.======electricstatic force between two point charges  is given by    where k is coulomb's constant,  8.99×10⁹  n·m²/c², q₁ and q₂ are the point charges, and r is the distance between the two point charges.assign positive to q₁let q₁ =  6.0 µc, q₂ = -4.0  µc, q₀ represent the charge at the origin, and q₃ represent this new charge to place.the charge at the origin q₀ would experience the following force f₀₁ from q₁, with r = 6.0 m (note that 1  µc = 10⁻⁶ c)    the force from q₂    the force from q₃    the net force on the origin charge, q₀, has to be zero for no electrostatic forcehaving an equation where k and q₀ can be divided out of the equation will allow us to solve for q₃    isolating:     a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same as the  -4.0  µc charge

Can give more details  

Compounds is the answer

Ibelieve it would be ddt