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Problem Set 4 Solutions
Problem Set 4 Solutions

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Towards an Exact Mechanical Analogy of Particles and Fields.

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... the Fermi liquid state in certain materials, such as doped SrTiO3, far from any (at least magnetic) quantum critical point. In these materials the energy scale in the scattering rate, which is not EF, becomes increasingly irrelevant as a system transitions from an n =  2 regime to n <  2, as can be ...
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... liquid (non viscous, compact, surface tension free). The presence of vacuum energy is confirmed by several experimental works including Casimir [3] effect and a considerable research has been made to convert vacuum energy into electromagnetic fields [4,5]. Every charged particle is associated with c ...
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Conductivity and the Current-Current Correlation Measure

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Density of states



In solid-state and condensed matter physics, the density of states (DOS) of a system describes the number of states per interval of energy at each energy level that are available to be occupied. Unlike isolated systems, like atoms or molecules in gas phase, the density distributions are not discrete like a spectral density but continuous. A high DOS at a specific energy level means that there are many states available for occupation. A DOS of zero means that no states can be occupied at that energy level. In general a DOS is an average over the space and time domains occupied by the system. Localvariations, most often due to distortions of the original system, are often called local density of states (LDOS). If the DOS of an undisturbedsystem is zero, the LDOS can locally be non-zero due to the presence of a local potential.
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