Recent content by chuckschuldiner

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    Graduate Alternate approach to proving the virial theorem?

    Hi guys, In quantum mechanics, the virial theorem for a system in its ground state is proved by a very nice scaling technique (Nielsen and Martin, PRB, 1985). I was trying to do something similar in classical mechanics and arrived at the virial theorem but i am not sure about why it should...
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    Graduate The Metal-Dielectric Interface in a Capacitor

    Hi everyone, I have been reading a recent Nature paper (Stengel and Spaldin, 2006) where ab initio simulations on SrRuO_3/SrTiO_3/SrRu_O3 nanocapacitors have been performed to investigate the origin of the so-called dead layer effect in thin-film nanocapacitors. They arrive at several...
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    Undergrad Electron distribution on capacitors

    To induce the most charge on the plates of a capacitor, you should have a high-permittivity material as the dielectric . Since, for a given applied voltage, Q is directly proportional to capacitance, and capacitance is in turn proportional to the dielectric constant, capacitors which use...
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    Undergrad Electron distribution on capacitors

    In classical electrostatics, the charge resides only at the metal-dielectric interface as a delta-function. There is no charge distribution inside the metal for if this were the case , electric fields would exist inside the metal. However, in real metal electrodes the free charges do form a...
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    Graduate Continuity of Electric Field at metal-dielectric interface in capacitor

    Hello Guys According to Classical electrostatics, when you apply a voltage across a capacitor, +Q and -Q charges are induced on a delta region at the interface of the dielectric and the metal electrode. The electric field inside the dielectric is finite and constant while the electric field in...
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    Graduate What is the role of Pauli's exclusion principle in superfluidity?

    Hi MD...sorry i thought you were a grad student! You may have heard of Pauli's exclusion principle in the context of electrons in atoms which states that no two identical electrons can have the same quantum numbers. i.e n,l,m and the spin quantum number say 's' cannot all be the same for two...
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    Graduate What is the role of Pauli's exclusion principle in superfluidity?

    hi ZapperZ...in hindsight, u are probably right. for some reason, i assumed OP was a grad student like me!
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    Graduate What is the role of Pauli's exclusion principle in superfluidity?

    I am not an expert but i will say whatever i know. In the case of Bose-Einstein statistics one can have as many particles (bosons) as one likes occupying a particular energy eigenstate. Contrast this with Fermi-Dirac statistics where you can have a maximum of one fermion occupying a...
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    Graduate What is the role of Pauli's exclusion principle in superfluidity?

    Graduate student E Kim and Prof M Chan from Penn State have published results in Nature, Science and PRL recently on the probable observation of supersolid Helium. Though these results have to be confirmed, this means that all states of matter can Bose-Einstein condense. So weird!
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    Graduate Better potential than Lennard-Jones for Carbon Carbon interactions?

    Have you considered using the Tersoff potential. Unlike, LJ it is not a pair potential so it should be more accurate. You can do some literature search to see if people have used tersoff like potentials for nanotubes. As far as i know, http://www.ivec.org/GULP/" is one of the MD programs that...
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    Graduate Is there any approximation to the two particle density matrix

    Hi The author calls it the two particle density matrix. The reference is Phys Rev B, Vol 71, 165104 (2005) The page number is 165104-3
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    Graduate Is there any approximation to the two particle density matrix

    Let phi(x) and phi_dagger(x) be field operators which satisfy the appropriate commutation relations. Then is there any analytic approximation for the two particle density matrix given by <phi_dagger(x)phi_dagger(x')phi(x')phi(x)> Thanks!
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    Graduate Question regarding electronic ground state

    scarecrow thanks but can u explain in some more detail? gokul this is from a paper " quantum mechanical stress and a generalized virial theorem for clusters and solids", phys rev b vol 37 (pp 8167). the paper deals with providing a quantum mechanical framework for stress and force but...
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    Graduate Question regarding electronic ground state

    hi can anyone please help me I came across this statement "Since we only consider the electronic ground state of the system, there can be no net force or torque acting upon the subsystem of classically behaving nuclei". Can anyone explain what this means?