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Chapter 4.3 Modern Atomic Theory:
Chapter 4.3 Modern Atomic Theory:

INTRODUCTION TO QUANTUM FIELD THEORY OF POLARIZED
INTRODUCTION TO QUANTUM FIELD THEORY OF POLARIZED

... is normally made in terms of time-independent eigenfunctions |ni, which are the solutions of the time-independent Schrödinger equation. In the general case when the Hamiltonian is time dependent (which happens when the atomic system interacts with an electromagnetic field), expansion (7.6) implies ...
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Harmony of Scattering Amplitudes: From gauge theory
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... understanding scattering amplitudes in gauge and gravity theories. • Harmony: Examples of remarkable relations in gauge and gravity theories. • QCD: Brief look at applications of new ideas to LHC physics • Supersymmetric gauge theory: resummation of certain planar N = 4 super-Yang-Mills scattering a ...
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Path Integrals in Quantum Field Theory

... However, the situation is a lot different when we consider field theory. The generalization of path integrals leads to a powerful formalism for calculating various observables of quantum fields. In particular, the idea that the propagator Z is the central object in the theory is fleshed out when we ...
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... building block of both quantum field theory and the General Theory of Relativity, which together describe all observed phenomena. Anything this fundamental should be tested. Much of the story of modern theoretical physics is how important symmetries do not ...
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1 Introduction and Disclaimer

... We will sketch the computation by Maulik and Okounkov of the quantum cohomology of Hilbn C2 . As you will see, the proof is somewhat indirect, but the methods used apply to general quiver varieties, and yield a variety of other great results. See [3] for a more direct proof. Due to limitations in sp ...
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... [CP, Chapters 9 and 11]. For us, this is sufficient justification for thinking of Uq (sl2 ) as related to ordinary sl2 . Comment 3.4. Notice that K acts as the identity on all Vn at q = 1. Uq (sl2 ) actually has some other finite dimensional representations where K does not act as the identity at q ...
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Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)

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Quantum Spacetime without Observers: Ontological

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Quantum Computing Devices Quantum Bits

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... theories has led to the desired clarification of mass, charge, and field. Taking all this into account, it is the abandonment of the program of finding a geometrical-mechanical theory of the electric and magnetic fields at the turn of the twentieth century that needs to be addressed. It should now b ...
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Topological quantum field theory

A topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes topological invariants.Although TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry. Donaldson, Jones, Witten, and Kontsevich have all won Fields Medals for work related to topological field theory.In condensed matter physics, topological quantum field theories are the low energy effective theories of topologically ordered states, such as fractional quantum Hall states, string-net condensed states, and other strongly correlated quantum liquid states.
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