Probability Wave Reflection in Quantum Bound States?

In a number of previous notes, we suggested writing a quantum conditional probability P(p/x)=a(p)exp(ipx)/W(x) at each x point. This follows, it seems, from a free particle conditional probability exp(ipx) which mimics the description of a photon. In other words, probability (in a smoothed out mathematical model representing actual stochastic motion) behaves similar to a photon wave. In this note, we wish to examine the interpretation of exp(-ipx) in more detail. A particle with -p momentum should travel from right to left, yet this term is considered in a left-to-right scheme. We suggest that exp(-ipx) may represent reflection at each x. If a(p)=a(-p), this reflection has no added phase shift, while if a(p)=-a(-p) it has an added phase shift of 3.14. In addition, a reflection picture seems to be more in keeping with the idea of a stochastic system