=You are given a free particle (no potential) Hamiltonian Îdependent wave-functionsV₁(x, t)V₂(x, t)==sin(27x)e-it 2²mħ² d²2m dx22 sin(x)e 2m + sin(2x)е¯`-it hm²-it 2hr 2mand two time-(1)(2)● What is the probability to find a quantum particle described by these functionsin the range x = [0, 0.5] at t = 1 ?(Note that you should always use normalizedfunctions for questions on probability.)

Given Data: The Hamiltonian of the particle is, H=−ℏ22md2dx2.The two wavefunctions are…

You are given a free particle (no potential) Hamiltonian Ĥ dependent wave-functions ¥₁(x, t) V₂(x, t) -it 2h² m = = sin(2x)е 2 sin(x)e ● What is the probability to find a quantum particle described by these functions in the range x = [0,0.5] at t = 1 ? 2 e-ithm + sin(2x)e-¯ (Note that you should always use normalized functions for questions on probability.) -2m dx² h²d² and two time- 。-it 2h 2 m

You are given a free particle (no potential) Hamiltonian Ĥ dependent wave-functions ¥₁(x, t) V₂(x, t) -it 2h² m = = sin(2x)е 2 sin(x)e ● What is the probability to find a quantum particle described by these functions in the range x = [0,0.5] at t = 1 ? 2 e-ithm + sin(2x)e-¯ (Note that you should always use normalized functions for questions on probability.) -2m dx² h²d² and two time- 。-it 2h 2 m