Problem – Superposition Which states are superpositions with respect to the standard basis, and which are not? For each state that is a superposition, give a basis with respect to which it is not a superposition. |+) (1+) +I-)) +) - ||-) (15) – I-5)) #( 15) – |-5) ) #(10) – 1) )
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- Sketch the Wigner-Seitz Cell in the given 2DLattice.I need the answer as soon as possiblesolve the problem An electron with angular momentum {= 1 exists in the state X = A Where A is the normalization constant. A) Find the value of A B) If a measurement of Ldis made, what values will be obtained, and with what probabilities?
- Do both mcq in detailCan the particle in a one-dimensional box have energy degeneracy? Explain your answer in words7. Consider a particle in an infinite square well centered at x = 0 in one of its stationary states. For this problem, you may look up any integrals. Some useful ones are given in Harris. a) Compute (x) and (pr) for arbitrary n. Do this by direct computation but then describe how you could have found these results using symmetry (the symmetry can either be symmetry in the physical system, such as the shape of the wave function, or symmetry related to the expectation value integral, such as the shape of the integrand). b) Using your answer to part a), show that the uncertainty in the momentum is Apx nh for arbitrary n. Do this two ways: (i) first by using your answer to part a) and directly computating (p2) (via an integral) and (ii) by using your answer to part a) and relating (p2) to the kinetic energy operator. c) Show that the uncertainty principle holds for the ground state. 2L -
- 1) Make use of a translation operator and prove Bloch's theorem in the form : y (F+R)=e¹ky (7). An alternative equivalent form for Bloch's theorem is that the wavefunction has the form 7)=eku (F) where u (F) is lattice periodic. By substituting this into the Schrodinger equation explain the origin of energy bands.NoneI need the answer as soon as possible