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The Infinite Square Well 6.1 Separability of Schrödinger`s Equation
The Infinite Square Well 6.1 Separability of Schrödinger`s Equation

... the stationary state Ψn (x, t). This interpretation is also reasonable from a linear algebra point of view – the decomposition coefficients cm tell us how much Ψm (x, t) is in Ψ(x, t), and so it is easy to predict the state selected by measurement. The story is only mildly different for other operat ...
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Slide 1

... Measurement necessarily involves interactions between observer and the observed system Matter and radiation are the entities available to us for such measurements The relations p = h/l and E = hn are applicable to both matter and to radiation because of the intrinsic nature of wave-particle duality ...
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Learning Goal: To learn about the impulse-momentum

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3.6 The Feynman-rules for QED For any given action (Lagrangian

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... • Compton showed Dp = hkinitial - hkfinal, so an photon (wave) is particle-like • DeBroglie hypothesized a particle could be wave-like, l = h/p • Davisson and Germer demonstrated wave-like interference phenomena for electrons to complete the duality model L1 January 20 ...
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Relativity Problem Set 9 - Solutions Prof. J. Gerton October 23, 2011

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quantum field theory course version 03

... x : R → C in the space C of all possible configurations (states) of the system. This path satisfies Newton’s equation of motion a = F/m, which is a second order differential equation ẍ = F (x, ẋ, t). For instance, if the force is conservative and independent of velocity and time, this becomes dV x ...
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... 5. Shor’s Algorithm A student suggested the following idea. In the presentation in class of Shor’s algorithm, in the simple case (where r devided Q) we pick many random k’s, k1 , k2 , . . ., where we have ki = mi Q/r. We claimed that as long as one of the mi ’s is coprime with r, we are OK. The stu ...
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Less than perfect wave functions in momentum-space

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... on poly(n,T) qubits, such that any 2-outcome measurement on | performable by a circuit of size T can be simulated in poly(n,T) time by a suitable measurement M’ on the unique ground state of H Application: Trusted quantum advice is equivalent to trusted classical advice + untrusted quantum advice ...
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Lagrangian, functional integrals, effective action

... Definition 1.5.1. The notion of k-connectivity of graphs is given as follows: • A graph is k-edge-connected if it cannot be disconnected by removal of any set of k edges. • A graph is k-vertex-connected if it cannot be disconnected by removal of any set of k − 1 vertices. Here what one means by remo ...
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Tunneling and the Vacuum Zero

... stead of the factor kB T as is usually done. We shall see that the equation (9) will allow us to give an accurate description of the escape rate at low temperatures. In the Kramers theory, two quantities are essential to calculate the escape rate. One is the probability P(t) of finding the particle ...
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Topological Coherence and Decoherence

... Suppose initial state is at origin: Then, since ...
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Schedule - University of Houston

... can be achieved in special cases, is to stratify the parameter space in such a way that these solutions are locally analytic within each (connected component of a) stratum. Moreover, we wish to understand the transitions between strata, and also have control over what happens at the intersections of ...
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Path integral formulation

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