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The Structure of Scientific Theory Change
The Structure of Scientific Theory Change

... and that a theory of theories should take this incompleteness, and the attendant role that theories play in theory construction, into account. The purpose of the present work is twofold. Its primary purpose is to indicate that this third role of theories—the construction of their successors—should b ...
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Quantum Critical Systems from ADS/CFT

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Massachusetts Institute of Technology Spring 2014

... where a† and a are a raising and a lowering operator of photons respectively, and N is a photon number operator. In the absence of coupling, the eigenstates of the uncoupled Hamiltonian or the bare states are simply a ground or excited state with photons. For example, the bare states can be labeled ...
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A Quantum Query Expansion Approach for Session Search

... retrieval performance. The Quantum Language Model (QLM) [4], a more recent QT-based IR model, successfully solved this issue. In QLM, both single terms and compound term dependencies are represented as projectors in a vector space, while queries and documents are represented as density matrices defi ...
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Effective Field Theories, Reductionism and Scientific Explanation

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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