Whether the wave function ψ ( r → 1 , r → 2 ) = ( 1 2 ) [ ψ C ( r → 1 ) ψ E ( r → 2 ) + ψ C ( r → 1 ) ψ F ( r → 2 ) ] is possible for two-particle system and it represent an entangled state if particle 1 is an electron that can be in state C or D ,particle 2 is a proton that can be in state E or F .

Question

Want to see the full answer?

Answer 1

Question

Chapter 41.8, Problem 41.8TYU

To determine

Whether the wave function ψ(r→1,r→2)=(12)[ψC(r→1)ψE(r→2)+ψC(r→1)ψF(r→2)] is possible for two-particle system and it represent an entangled state if particle 1 is an electron that can be in state C or D ,particle 2 is a proton that can be in state E or F.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Problem 3. Consider the two example systems from quantum mechanics. First, for a particle in a box of length 1 we have the equation h² d²v 2m dx² EV, with boundary conditions (0) = 0 and (1) = 0. Second, the Quantum Harmonic Oscillator (QHO) V = EV h² d² 2m da² +ka²) 1 +kx² 2 (a) Write down the states for both systems. What are their similarities and differences? (b) Write down the energy eigenvalues for both systems. What are their similarities and differences? (c) Plot the first three states of the QHO along with the potential for the system. (d) Explain why you can observe a particle outside of the "classically allowed region". Hint: you can use any state and compute an integral to determine a probability of a particle being in a given region.

A particle of mass 1.60 x 10-28 kg is confined to a one-dimensional box of length 1.90 x 10-10 m. For n = 1, answer the following. (a) What is the wavelength (in m) of the wave function for the particle? m (b) What is its ground-state energy (in eV)? eV (c) What If? Suppose there is a second box. What would be the length L (in m) for this box if the energy for a particle in the n = 5 state of this box is the same as the ground-state energy found for the first box in part (b)? m (d) What would be the wavelength (in m) of the wave function for the particle in that case? m

Given that at time t = 0 a particle’s wave function is given by ψ(x, 0) =Ax/a, if 0 ≤ x ≤ a,A(b − x)/(b − a), if a ≤ x ≤ b, with A0, Otherwise.a and b as constants, answer the following questions; a) Find the normalization constant A in terms of the constants a and b. b) Sketch ψ(x, 0) as a function of x. c) Where is the particle most likely to be found at time t = 0? d) What is the probability of finding the particle to the left of a?