Definitoon of trajectory in quantum physics, especially in path integrals

[roberto85]

What is the correct way to use the term trajectory in physics when discussin path integral forumaltion calculations. Here is the sentence i am trying to complete and am unsure if i may use the term trajectory:

So the wavefunction offers a much more simplistic and perhaps more beautiful way to describe a system when compared to the kernel since all effects of the past history of a particle can be defined in terms of a the wavefunction. If we were to ignore everything we knew of it's history (or did not know this information) except for it's wavefunction at a particular time; we could calculate the future of the particle's TRAJECTORY??

Or should i just alter the sentence to say we would know its future path or movement or soemthing to that effect?

Help would be greatly appreciated, many thanks

 

[roberto85]

Also I am very concenred about this statement which i obtained from richard feynman's book 'Quantum mechanics and path integrals' since this suggests the universe oberys determinism but i thought that this was not the general belief to quantum physicists. Please could someone clarify this since i don't want to include such a statement when it is clearly a very contentious thing to state. Many thanks again

Roberto

 

[roberto85]

Ive decided the word evolution is more appropriate than trajectory, but id still like to know if it is correct to say that a gigantic wavefunction could suggest determinism?? please if anyyone could help me please?
Thanks

 

[Demystifier]

The wave function and path integrals provide determinism of probability amplitudes. However, since they determine probabilities, it is possible that not EVERYTHING is deterministic. Yet, there is a possibility that they also determine something else, like Bohmian particle trajectories. In this case everything is deterministic.