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INTRODUCTION TO MECHANICS Introduction On the face of it
INTRODUCTION TO MECHANICS Introduction On the face of it

Winter 2006 Colloquium Series Physics Department University of Oregon 4:00 Thursdays, 100 Willamette
Winter 2006 Colloquium Series Physics Department University of Oregon 4:00 Thursdays, 100 Willamette

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... elliptic curve cryptography). In short, if a quantum computer is created today, we’re doomed! But there’s hope: the field of post-quantum cryptography is about creating cryptographic systems that can resist quantum computers. These experimental systems are based on different mathematical problems th ...
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Quantum Coherence between States with Even and Odd Numbers of Electrons

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Preferred Basis in a Measurement Process

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The two-state vector description of a quantum system
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... y direction. The particles’ spins point in the x − z plane in the direction n̂ which makes an angle θ with the z axis. Stage2 is to measure it weakly: the beam passes through a Stern-Gerlach device that measures the spin weakly in the z direction. It succeeds doing so because its gradient of the mag ...
Exam #: Printed Name: Signature: PHYSICS
Exam #: Printed Name: Signature: PHYSICS

... a) Prove the three-dimensional virial theorem valid in Quantum Mechanics for stationary states: 2hT i = h~r · ∇V i, where T and V are the kinetic and potential energies respectively of a particle and ~r is its position. Hint: In classical (i.e. non-quantum) mechanics one usually starts by evaluating ...
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... Bruce Schumm writes (Deep Down Things, 2004): “What is spin and this oddly construed spin-space in which it lives? On the one hand it is quite real [corresponds to angular momentum]. On the other hand, a particle with no spatial extent [electron is point particle] shouldn’t possess angular momentum ...
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... Single valued: A single-valued function is function that, for each point in the domain, has a unique value in the range. Continuous: The function has finite value at any point in the given space. Differentiable: Derivative of wave function is related to the flow of the particles. Square integrable: ...
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... Angular Momentum Operator • L is important to us because electrons are constantly changing direction (turning) when they are confined to atoms and molecules • L is a vector operator in quantum mechanics • Lx : operator for projection of L on a x-axis • Ly : operator for projection of L on a y-axis ...
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... interesting, firstly that such a simple deformation is possible (varying only the coefficients w.r.t the standard PBW basis), and secondly that the excedance statistic appears here. We note that it is essential that the covariant indices are permuted, while the contravariant indices are in standard ...
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Efficient Simulation of One-Dimensional Quantum Many

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2010 midterm exam solutions

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Light in a Twist: Orbital Angular Momentum Miles Padgett

Optically polarized atoms_ch_2_old
Optically polarized atoms_ch_2_old

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Symmetry in quantum mechanics

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