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What Every Physicist Should Know About String Theory
What Every Physicist Should Know About String Theory

... describe quantum gravity, we arrive at something that is certainly important in physics, namely ordinary quantum field theory in a possibly curved spacetime. In the example that I gave, the “ordinary quantum field theory” is scalar φ3 theory, because of the particular matter system we started with a ...
APPENDIX B Fluorescent Dye Labels for Energy
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quantum teleportation
quantum teleportation

... entangled particles. These entangled particles will form a pathway for the instantaneous data transfer of the information of the particle. However for the verification of quantum teleportation it classical information line between the sending and the receiving station is necessary, which excludes in ...
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... defined from the quantum measurement to characterize the observable-independent probability space. • I showed that the counter-factual property could be characterized by the weak value. • I naturally characterized the weak value with decoherence. ...
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Embracing the quantum limit in silicon computing

Modified Weak Energy Condition for the Energy Momentum Tensor
Modified Weak Energy Condition for the Energy Momentum Tensor

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Lecture Note - U.I.U.C. Math

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An equation for the waves - University College London

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Pauline Oliveros and Quantum Sound

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Quantum Algorithms for Estimating Gauss Sums and Calculating

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Complementarity in Quantum Mechanics and Classical Statistical

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Path integrals in quantum mechanics

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001 Introduction to Quantum Mechanics, Probability Amplitudes and

... and tied up. Of course there is a theory of everything or whatever on the frontier of the subject. But here we have a piece of undergraduate physics which is universally agreed is not properly understood in its deepest underpinnings. It’s still fundamentally mysterious and it’s also quite extraordin ...
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Investigating incompatibility: How to reconcile complementarity with EPR C

... The traditional picture drawn about the Bohr-EPR debate is that of utter contrast, to which Bohr’s own reply to EPR constitutes no exception. Bohr’s reply to EPR is incompatible with EPR. This is exactly what it was intended to be right from the start and it would not be a reply in his mind if it we ...
applied theta functions
applied theta functions

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Quantum group

In mathematics and theoretical physics, the term quantum group denotes various kinds of noncommutative algebra with additional structure. In general, a quantum group is some kind of Hopf algebra. There is no single, all-encompassing definition, but instead a family of broadly similar objects.The term ""quantum group"" first appeared in the theory of quantum integrable systems, which was then formalized by Vladimir Drinfeld and Michio Jimbo as a particular class of Hopf algebra. The same term is also used for other Hopf algebras that deform or are close to classical Lie groups or Lie algebras, such as a `bicrossproduct' class of quantum groups introduced by Shahn Majid a little after the work of Drinfeld and Jimbo.In Drinfeld's approach, quantum groups arise as Hopf algebras depending on an auxiliary parameter q or h, which become universal enveloping algebras of a certain Lie algebra, frequently semisimple or affine, when q = 1 or h = 0. Closely related are certain dual objects, also Hopf algebras and also called quantum groups, deforming the algebra of functions on the corresponding semisimple algebraic group or a compact Lie group.Just as groups often appear as symmetries, quantum groups act on many other mathematical objects and it has become fashionable to introduce the adjective quantum in such cases; for example there are quantum planes and quantum Grassmannians.
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