Check for bad fusable link
Usually located in the smaller wire running to the starter solenoid
The alternator or a poor wiring connection.
Check for blown fuse(s) or blown fusible link(s).
test the voltage on the battery first, then on the alternator. If its good then it could just be the diode in the alternator. I would suggest you replace it becuase eventually your alternator will die and the battery will not get charged leaving you stranded somewhere. It is possible to just be a battery but you wont know unless you have the battery tested. check the voltage on the battery and the alternator before you do anything else.
wires, connecters, terminals
it could mean that you have a loose battery cable that needs to be tightened
Fusable Link?
The alternator/generator
no you cannot kill your alternator by switching your battery from one car to another
battery http://www.all-battery.co.uk/laptop-batteries/dell-inspiron-6000.htm
bad wiring harnest
Could be the alternator is going bad and check the charge level of the battery. Check all the fluids of the vehicle. But mainly it could be alternator to check that start the car and then disconnect the negative wire from the battery if car dies then alternator is bad if its going then it could be something else.
There is probably a problem with the ABS system