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Two-particle Harmonic Oscillator in a One
Two-particle Harmonic Oscillator in a One

... During the last decades, there has been great interest in the model of a harmonic oscillator confined to boxes of different shapes and sizes [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23]. Such a model has been suitable for the study of several physical problems, r ...
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... statistical mechanics, their re-examination led to path integral formulations such as the lattice QCD [3]. In lattice theories quantum uctuations explore the full gauge group manifold, and classical dynamics of Yang–Mills elds plays no role. We propose to re-examine here the path integral formulat ...
The Theorem of Ostrogradsky
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... It might seem curious that Ostrogradsky did not appreciate the importance of his construction to fundamental theory. However, one must recall that the researchers of his time were just beginning to make the connection between energy functionals and the concept of stability — which in those days mea ...
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Effective Field Theories, Reductionism and Scientific Explanation Stephan Hartmann
Effective Field Theories, Reductionism and Scientific Explanation Stephan Hartmann

... small photon energies within the framework of the quantum theory of fields developed by Paul Dirac a couple of years earlier. Euler and Heisenberg derived a non-linear modification of Maxwell’s equations which could however be interpreted in an intuitive way. Another early example of an EFT is Fermi’s ...
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Effective Field Theory, Past and Future

“Shut The Front Door!”: Obviating the Challenge of Large
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... Physics has been slowly and reluctantly beginning to address the role and fundamental basis of the ‘observer’ which has until now also been considered metaphysical and beyond the mandate empirical rigor. It is suggested that the fundamental premise of the currently dominant view of ‘Cognitive Theory ...
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... to classes of space-times picked out by dynamical equations for the inertiogravitational field. Before going into more detail, let me situate these theories with respect to a cube that is even more fascinating — at least for a physicist — than the Rubik cube. I shall call it the “”Bronstein cube” si ...
PDF - University of California, Berkeley
PDF - University of California, Berkeley

Dilute Fermi and Bose Gases - Subir Sachdev
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... dynamics discussed in several contributions to this conference. Given an unstable system we have two ways to achieve that its state will remain within its state Hilbert space, either by switching off the interaction responsible for the decay or by a permanent Zeno-type system monitoring. A natural q ...
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... In this lecture I review the progress achieved during the past decade on the mathematical description of quantum mechanical matter interacting with the quantized radiation field. My main focus will be on the results I have obtained in collaboration with Jürg Fröhlich and Israel Michael Sigal [8, 9 ...
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... new viewpoints will be presented in this chapter, e.g., considering a gauge for describing inhomogeneous fields, and the description of spin-orbit coupling. The application of the tight-binding approach to spin-dependent transport calculations will be treated in some detail since this is a more rece ...
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Yang–Mills theory

Yang–Mills theory is a gauge theory based on the SU(N) group, or more generally any compact, semi-simple Lie group. Yang–Mills theory seeks to describe the behavior of elementary particles using these non-Abelian Lie groups and is at the core of the unification of the electromagnetic and weak forces (i.e. U(1) × SU(2)) as well as quantum chromodynamics, the theory of the strong force (based on SU(3)). Thus it forms the basis of our understanding of particle physics, the Standard Model.
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