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Lecture Notes - Computer Science at RPI
Lecture Notes - Computer Science at RPI

Broken Symmetries
Broken Symmetries

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4. The Hamiltonian Formalism

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...  Multiply both sides by t Ft  mv f  mvi ...
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... and initial states, characterized by two different sets of numbers (n, l, ml), leads to the selection rules indicating which transition is allowed: ...
A Gentle Introduction to Quantum Computing
A Gentle Introduction to Quantum Computing

... computers, compared to the exponential time of classical ones. This has brought about a fundamental revolution in the field of complexity theory and cryptography, among others. The problem, however, is that no large scale quantum computer has ever been built. The largest such system was just powerfu ...
Syllabus of math and physics doc
Syllabus of math and physics doc

... thread of key physics and mathematical ideas and methods. Unfortunately, with physicists and mathematicians having gone hog wild, we are losing this thread. The swell of theoretical particularizations issuing from this small set of ideas and methods overwhelm us. Most doctoral level physicists, for ...
Zero-energy states in supersymmetric matrix models
Zero-energy states in supersymmetric matrix models

UNCERTAINTY PRINCIPLE AND QUANTUM FISHER INFORMATION
UNCERTAINTY PRINCIPLE AND QUANTUM FISHER INFORMATION

... Annals of the Institute of Statistical Mathematics, 56(2), 369–381. P. Gibilisco and T. Isola (2005). On the monotonicity of scalar curvature in classical and ...
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... (10) [5 pts] Recall: A collection of vectors, v1, v2, ..., vn, is said to be linearly independent if the only linear combination of them that is zero is the trivial linear combination. That is, if x1v1 + x2v2 +...+ xnvn = 0, then it must be that x1=x2=.... =xn=0. Using this ...
An Introduction to QBism with an Application to the Locality of
An Introduction to QBism with an Application to the Locality of

... cases in which the agent is certain about the event: even probabilities 0 and 1 are measures of an agent’s (very strongly held) belief. The subjective view returns probability theory to its historic origins in gambling. An agent’s probabilities are defined by her willingness to place or accept any b ...
soliloquy: a cautionary tale
soliloquy: a cautionary tale

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Torque Torque is defined as the measure of tendency of a force to

... If both bats had the same mass, which is the measure of resistance to change motion, why is one harder to swing than the other? In the angular world, the magnitude of resistance to rotational motion is not determined only by the mass of the object. Another important descriptor of an object’s resista ...
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Photon quantum mechanics and beam splitters

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Square-root measurement for quantum

... the suboptimum quantum receiver [1]. In the Helstrom’s iterative procedure of the Bayes-cost reduction [8] and the other numerical calculation methods [21]–[23], the SRM is used to give the initial measurement process. After the paper of Helstrom’s iterative algorithm, the SRM has been investigated ...
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Rotational or Angular Motion

... The net torque now adds to zero—and the board does not rotate. The board is in rotational equilibrium. Note: This will only be true if the board is uniform and the pivot is at the center of the board, so that the gravitational force is causing no torque on the board. ...
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Angular momentum

Lecture 2
Lecture 2

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Symmetry in quantum mechanics

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