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On the conundrum of deriving exact solutions from approximate
On the conundrum of deriving exact solutions from approximate

... R. Doll et al. / Chemical Physics 347 (2008) 243–249 ...
Some Quantum Operators with Discrete Spectrum but Classically
Some Quantum Operators with Discrete Spectrum but Classically

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The Quantum Phases of Matter The Harvard community has made

... being played by a smaller velocity associated with the lattice Hamiltonian. Moreover, many such states are described by a quantum field theory which is invariant under conformal transformations of spacetime, and hence Section 3 will describe ‘conformal’ quantum matter. Section 4 will turn to ‘compre ...
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... couple of numbers, and we arrive at the answer, which is just one single figure. We may do the simple subtraction 4 - 1 = 3 but if we are just told the answer, 3, we may suggest an infinite number of ways to arrive at it: 5 - 2, for example, or 6 -3, or 1 + 2. Our original formula 4 - 1 thus contain ...
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Bohr model - Net Texts

... In 1925 a new kind of mechanics was proposed, quantum mechanics in which Bohr's model of electrons traveling in quantized orbits was extended into a more accurate model of electron motion. The new theory was proposed by Werner Heisenberg. Another form of the same theory, modern quantum mechanics, wa ...
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Theoretical examination of quantum coherence in a photosynthetic

... which can be specified by magnitude of reorganization energy, the electronic coupling can be treated perturbatively. This treatment yields Förster theory (23), which describes incoherent hopping between pigments. In the opposite limit, when the reorganization energies are small, it is possible to tr ...
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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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