Suppose we have a potential V(x) such that V(x)=0 for x<=0, and V(x)=-V_(0) for x>0 (where V_(0) is
positive). Imagine a free particle wave of energy E the form psi (x,t)=e^(i(kx-omega t)) coming from the left (i.e.,
coming in from negative infinity). What are k and omega in terms of E ? What is the overall solution to the
time-independent Schrödinger equation over all real x, i.e., what is the full wave on the left (x<0), and
what is the wave on the right (x>0) ?
6. Suppose we have a potential V() such that V() = 0 for x < 0, and V(x) = -V for x > 0 (where V is
coming in from negative infinity). What are k and w in terms of E? What is the overall solution to the time-independent Schrodinger equation over all real . i.e..what is the full wave on the left (x < 0. and what is the wave on the right ( > 0)?