A Beautiful Mind- relating to criminal psychology

The movie A Beautiful Mind, does not directly connect to criminal psychology. But there are some things that could be connected to criminal psychology in a way, like later on in the movie when Alisha, his wife and Nash are arguing after Nash had just left their baby boy in the tub with the water running and he wasn't taking his pills for his schizophrenia and Alisha takes the baby out of the tub while panicking and is calling the doctor Nash is seeing a guy trying to hurt Alisha so Nash shoves her down to the ground.  When he shoves her down to the ground from any other persons perspective it would look like he is physically abusing her. Also, when Nash leaves the baby in the tub with the water running, the baby would've eventually drown if the water was kept running and that could be portrayed as an attempt of murder. Nash just kept telling Alisha that one of the guys was watching over the baby while he was in the tub, but by the way it looks to Alisha it just looks like Nash was trying to commit murder by drowning their baby boy.  Another example of how the movie could've related to criminal psychology would be when Nash is hallucinating that he works for the government. When Nash thinks he works for the government the things this so called government has him doing they want him to keep quiet about it, because the things are not legal to a sense.