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1 Fig.3.6 An arbitrary electron distribution along the x
1 Fig.3.6 An arbitrary electron distribution along the x

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... port may be expressed as the product of two real-valued variables, an effort and a flow, and all instantaneous interactions between systems or elements may be described in terms of these conjugate power variables. However, to define the energy stored in a system (i.e. its instantaneous energetic sta ...
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... a set of points tn not belonging to L that converge to t. Obviously l{J ( tn) ~ 0. Therefore from sV ( tn) 1/J ( tn) = V ( t"n) l{J ( t"n) it follows that sV ( t"n) = V ( t'n). Going to the limit, we get sV ( t) = V ( t), and consequently the equation sV = V is valid for every point of the configura ...
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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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