Hmmm, perhaps it wouldn't be a bad idea to put together a "neurochemistry of drugs of abuse for beginners" FAQ.... mods?
Anyways, quale is correct. For good reviews of stimulant action, see [1] or [2]. [3] and [4] are research articles with more detail about the molecular action of amphetamine. Basically, amphetamine enters DA neurons by diffusing through the membrane or via the DA uptake transporter (DAT). It then acts at storage vesicles releasing DA into the cytoplasm, and also acts at the membrane to reverse the DAT. Incidentally, a large amount of DA in the cytoplasm will cause the DAT to reverse of its own accord, but amphetamine doesn't cause a sufficient intraceullular concentration to do this. Methamphetamine almost certainly functions similarly to amphetamine [no ref yet

].
xylo, you probably saw this in relation to the recent Synapse article [5]. This contains a long discussion about neurotransmitters being high, and has lots of good refs. There is indeed compelling evidence that dopamine is not the sole mediator of euphoria and stimulation; eg dopamine antagonists do not fully block the subjective effects of coke/amphetamine. It appears that DA is necessary but not sufficient for the stimulant high[5]. The authors propose that NE mediates the high and propose some experiments; I am certain we will see more research around this hypothesis in the upcoming years.
We should remember though that the brain is incredibly complex, and trying to associate different feelings with transmitters used in hundreds of millions of cells is probably a brutal oversimplification. As Rothmen et al put it, "Although it is tempting to speculate that stimulant induced positive subjective effects in humans are mediated by a single neurotransmitter, the more likely scenario is that multiple neurochemicals and brain regions contribute to the subjective experience described as the 'high'.... The possibility that NE contributes stimulant-induced positive subjective effects in humans does not rule out a role for DA in either subjective effects or stimulant addiction. For example, it is possible that even if a 'high' is mediated mostly by NE, the intense repetitive drug-taking behavior seen in severely addicted individuals is mediated by mesolimbic DA."
[1] Wise RA. Addictive drugs and brain stimulation reward. Annu Rev Neurosci 1996;19:319-40
[2] Seiden LS, Sabol KE, Ricaurte GA. Amphetamine: effects on catecholamine systems and behavior. Annu Rev Pharmacol Toxicol 1993;32:639-677.
[3] Sulzer D, Chen TK, Lau YY, Kristensen H, Rayport S, Ewing A. Amphetamine redistributes dopamine from synaptic vesicles to the cytosol and promotes reverse transport. Journal of Neuroscience, Vol 15, 4102-4108.
[4] Sara R. Jones, Raul R. Gainetdinov, R. Mark Wightman, and Marc G. Caron. Mechanisms of Amphetamine Action Revealed in Mice Lacking the Dopamine Transporter. Journal of Neuroscience, March 15, 1998, 18(6):1979-1986.
[5] Rothman RB, Baumann MH, Dersch CM, Romero DV, Rice KC, Carroll FI, Partilla JS. Amphetamine-type central nervous system stimulants release norepinephrine more potently than they release dopamine and serotonin. Synapse 2001 Jan;39(1):32-41.