6. Start from state function Ja; to>, apply time evolution operator to write Ja; t, to> in terms of Ja; to>. Nowapply time reversal operator to both sides, go through all the steps and show that:a) H and O commute if O is antiunitary.b) Hand O anticommute if O is unitary.c) Write down the Schrodinger equation for a spinless particle in the time reversed frame and findthe wavefunction in relation to a non-time-reversed case.d) For part (c), what are the cases when this result is not valid. Prove your point.

The time evolved state can be written using the unitary time evolution operator as follows:…

6. Start from state function ja; to, apply time evolution operator to write la; t, to> in terms of ja; to>. Now apply time reversal operator to both sides, go through all the steps and show that: a) H and O commute if O is antiunitary. b) H and O anticommute if e is unitary. c) Write down the Schrodinger equation for a spinless particle in the time reversed frame and find the wavefunction in relation to a non-time-reversed case.

6. Start from state function ja; to, apply time evolution operator to write la; t, to> in terms of ja; to>. Now apply time reversal operator to both sides, go through all the steps and show that: a) H and O commute if O is antiunitary. b) H and O anticommute if e is unitary. c) Write down the Schrodinger equation for a spinless particle in the time reversed frame and find the wavefunction in relation to a non-time-reversed case.