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Lecture 3: The Wave Function
Lecture 3: The Wave Function

How to determine a quantum state by measurements: The Pauli... with arbitrary potential
How to determine a quantum state by measurements: The Pauli... with arbitrary potential

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... • A classical register with n bits can be in one of the 2n posible states. • A quantum register can be in a superposition of ALL 2n posible states. ...
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... 16. Describe Compton effect and derive an expression for the shift in wavelength of the scattered beam. 17.Consider a square potential barrier on which is incident a beam of particles of energy E. Calculate the reflected intensity and transmitted intensity, if the barrier height is V and width is a. ...
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... repeating this experiment suitably many times and ge the error probability down to less than 2−n . Now we can use the same idea as we did in showing BPP ∈ P/poly. There are only 2n − 1 possible λs and the error probability is less than 2−n . The randomized algorithms makes some random choices in the ...
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... Let us begin by stating that there are certain things which we must simply accept and there is no way to prove them. They are the things that we postulate must be true. They cannot be proven but if they are accepted then what follows bears out in the real world. As such QM offers a tool to predict t ...
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... (a) Expand out the time evolution operator Uint (t) = e−iHint t to linear order for this impulse interaction. This is a good approximation since ∆t is very small (and the interaction strength λ is also assumed to be small). [3 mks.] (b) Evaluate carefully the time evolved state after the interaction ...
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Q.M3 Home work 1 Due date 8.11.15 1
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... where θ and ϕ are parameters 1) Is this state normalized? If yes,prove it. If not, normalize it. 2)Find a state |Bi that is orthogonal to |Ai. Make sure |Bi is normalized. 3) Express |hi and |si in the {|Ai, |Bi} basis. 4) What are possible outcomes of a hardness measurement on the state |Ai, and wi ...
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Measurement in quantum mechanics

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