I am a mechanical engineering 3rd year bachelors student. However, after completion of bachelors, i am going to pursue theoretical physics for masters. Next sem i am to work on my major project ( like a research paper). Is there some topic i can work on, which has elements of Theoretical Physics like quantum mechanics, special relativity, statistical mech or Electromagnetic theory etc. and at the same time has applications in mechanical engineering? Quantum mech is preferred.