Do quantum leaps happen in random directions? Regarding quantum "leaps" or "jumps" (also known as atomic electron transition) -- do these leaps happen in what would appear to be random directions, or do they happen according to some rule, such as jumping from an area of lower gravity in the direction of higher gravity?
I ask this in the context of theories which include quantum jumps. I realize it's a is a topic of some debate, but for the purposes of this question I want to focus on the theoretical or empirical nature of quantum jumps (or whatever you want to call them) rather to debate their existence. 
 A: There are no quantum leaps.  This is an errant notion from early theories that was latched onto by the public and continues to be popularized by 'pop science' programming.  It is a misunderstanding of quantum mechanics.
There are discrete states for negative energy systems, but any Hamiltonian term that allows transitions between them does so continuously.  In this sense, there are no discontinuities in time (ie, no jumping).  The Hamiltonian system that allows for (continuous) transition between eigenstates is different (usually by the inclusion of a coupling term) than the system that admits true eigenstates.
Are the transitions random?  No.  Quantum mechanics is a fully deterministic theory, as far as wavefunction evolution is concerned.  Transition amplitudes can be calculated/simulated, and will give the same result every time.  The quantum evolution, while fully deterministic, only specifies the probability of measurement.  Measurements themselves are understood to be predicted by treating $|\psi|^2$ as a random variable of measurement.
