please we careful ,i had
changed notation.if you have any doubt comment me. thank you.
Figure 3. Double delta-function potential. X +a V(x) 2. Consider the symmetric, attractive double delta function potential illustrated in Fig. 3 where α is a positive constant. There are two lengths...
*Problem 2.27 Consider the double delta-function potential V (x) -α[6(x + a) + δ( )], x- a where α and a are positive constants. (a) Sketch this potential. (b) How many bound states does it possess? Find the allowed energies, for a- h2/ma and for α h2/4ma, and sketch the wave functions.
3. This problem relates to the bound states of a finite-depth square well potential illustrated in Fig. 3. A set of solutions illustrated in Fig. 4, which plots the two sides of the trancendental equation, the solutions to which give the bound state wave functions and energies. In answering this problem, refer to the notation we used in class and that on the formula sheet. Two curves are plotted that represent different depths of the potential well, Voi and Vo2...
1. A particle of mass m moves in the one-dimensional potential: x<-a/2 x>a/2 Sketch the potential. Sketch what the wave functions would look like for α = 0 for the ground state and the 1st excited state. Write down a formula for all of the bound state energies for α = 0 (no derivation necessary). a) b) Break up the x axis into regions where the Schrödinger equation is easy to solve. Guess solutions in these regions and plug them...
Problem 4.1 - Odd Bound States for the Finite Square Well Consider the finite square well potential of depth Vo, V(x) = -{ S-V., –a sx sa 10, else In lecture we explored the even bound state solutions for this potential. In this problem you will explore the odd bound state solutions. Consider an energy E < 0 and define the (real, positive) quantities k and k as 2m E K= 2m(E + V) h2 h2 In lecture we wrote...