Question

13. For the following questions assume that the potential is given by: $V(x \le -a) = \infty$ $V(-a \le x \le 3a) = 0$ $V(x \ge 3a) = \infty$ (a) Write the boundary conditions for this problem. (b) Write Schrödinger equation for this problem. (c) Assume the general solution for this equation is $\psi(x) = A\sin[k(x + a)]$. What will be the energy? (d) What is the wavelength of the ground state in terms of $a$?

          13. For the following questions assume that the potential is given by:
$V(x \le -a) = \infty$
$V(-a \le x \le 3a) = 0$
$V(x \ge 3a) = \infty$
(a) Write the boundary conditions for this problem. (b) Write Schrödinger equation for this
problem. (c) Assume the general solution for this equation is $\psi(x) = A\sin[k(x + a)]$.
What will be the energy? (d) What is the wavelength of the ground state in terms of $a$?

13. For the following questions assume that the potential is given by:
V(x ≤ -a) = ∞
V(-a ≤ x ≤ 3a) = 0
V(x ≥ 3a) = ∞
(a) Write the boundary conditions for this problem. (b) Write Schrödinger equation for this
problem. (c) Assume the general solution for this equation is ψ(x) = Asin[k(x + a)].
What will be the energy? (d) What is the wavelength of the ground state in terms of a?

Added by Jesus R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Frank Deng

05/08/2022

Step 1

- V(-a<=x<=3a) = 0 implies that the wave function must satisfy the Schrödinger equation within this region. - V(x>=3a) = \infty implies that the wave function must be zero at x = 3a. Show more…

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For the following questions assume that the potential is given by: V(x<=-a)=infty V(-a<=x<=3a)=0 V(x>=3a)=infty (a) Write the boundary conditions for this problem. (b) Write Schrödinger equation for this problem. (c) Assume the general solution for this equation is psi (x)=Asin[k(x+a)]. What will be the energy? (d) What is the wavelength of the ground state in terms of a ? 13. For the following questions assume that the potential is given by V(-a= V(-a<<3a=0 V(3a)= (a) Write the boundary conditions for this problem. (b) Write Schrodinger equation for this What will be the energy? (d) What is the wavelength of the ground state in terms of ?