Suppose a 1D quantum system is represented by the wavefunction in position space: (x|½(t)) = v(x, t) = Ae-3x+5it where it only exists 0 < x < . Ci 's) What is (P)?
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Here,
Wave function is given and we have to find <p>
So, for the real wave function <p>= 0
Here, wave function is not real
So
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Solved in 2 steps
- Q/ Show that the oscillating probability density is linear in arbitrary wave beams that oscillates with a frequency equal to that of a linear oscillator?Suppose that you have a 2D quantum system where X and Px are the x- component position and momentum operators and Y and Py are the y- component position and momentum operators. Which of the following commutators is not equal to 0? [Py,Y] O IX,Y] O [Px,Px] O [PxY]Suppose a 1D quantum system is represented by the wavefunction in position space: (æ|2>(t)) = b(x, t) = Ae -3x+5it where it only exists () < x < ! Normalize the wavefunction, i.e., what is A?
- if th wavefunetion is: P (x) = AélxI a) calculate A so that Ycx) is normalızed b) calculate th wave function momentum space ocp)Check your understanding Rank the following wave packets according to position uncertainty momentum uncertainty a) c) 4(x) سته 4(x) X X b) d) 4(x) io الله 4(x) N X X An introduction to the uncertainty principle: 5/6Suppose a 1D quantum system is represented by the wavefunction in position space: (æ]Þ(t)) = v(x, t) = Ae -3x+5it %3D where it only exists 0 < x <. What is (X)?