Alexey
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Bell has received his an inequality, guessing, that there is a joint distribution function for four projections of spins. Then the proof of inequality was received from the unique guess radiating: all four projections of spins was exist simultaneously. Who was first received this proof and where this clause was printed?
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Theme: I write article on local, realistic interpretation of a quantum mechanics which compatible to Bell's inequality violation. Therefore I want to understand known not local realistic interpretations of a quantum mechanics. Prompt please references on them (from internet). I would not like deeply to press in a detail (for example, mathematical). But only it would be desirable to understand an Bell's inequality vaolation explaination in these interpretations . So that about it was told briefly, clearly, is accessible, on "physical language". Thank.
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Whether somebody knows what equally <int(F*Fcomp)dx>. Where F(x,t) is complex function: F=F1+i*F2, Fcomp=F*=F1-i*F2. F satisfies to the next Shredinger like linereal stochastic partial differential equation: i*h*Ft=-a*(Fxx-2*n*Fx/x+(n+1)*F/x/x)+U*F int - sing of integral by dx, Ft - first time derivative, Ftt - second time derivative, Fx - first dpase derivative, Fxx - second spase derivative, i - imaginary unity, < > - sign of averaging on casual fluctuations U, U - casual space - time, delta - correlated a white noise, a, h, n – are consts. ( If it matters - there are interesting to me the cases n=1 and n=0,5)
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Whether somebody knows where it is possible to read (in the Internet well) about the theory of passage of a wave package of a quantum particle through a potential hill (For example, through a rectangular potential hill)? I am interesting potential hill probability passage for given energy and breadth wave package. Whether there are appropriate numerical experiments? Give please the references. P.S.: Inform please about the answer by e-mail: lesha74@rambler.ru
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Algorithm of the numerical decision of stochastic Shrodinger equation.
Alexey replied to Alexey's topic in Applied Chemistry
It is a pity. I can not find the answer whether will be to occur a localization of wave function under action of casual fluctuations or not. Hoped at you something to ask. You do not know? That is whether will be a localization of wave function in the equation written above? Than you are engaged now? -
Algorithm of the numerical decision of stochastic Shrodinger equation.
Alexey replied to Alexey's topic in Applied Chemistry
Thank you for information! -
Algorithm of the numerical decision of stochastic Shrodinger equation.
Alexey replied to Alexey's topic in Applied Chemistry
Teal please, whether you are engaged stochastic Sredinger equation? -
Tell please, whether the numerical decision stochastic Schrodinger equation is applied in chemistry? For my purpose it is necessary to decide Schrodinger equations with casual potential for system of many particles and to calculate some average with the found wave function . I plan to write the appropriate program. But can be similar programs already exist? For example, there can - be some programs of molecular dynamics can solve Scredinger equation for system of many particles with casual potential (or without casual potential, but with an opportunity to program it)? Whether somebody knows about the similar programs?
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Look please my answer at your question.
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Algorithm of the numerical decision of stochastic Shrodinger equation.
Alexey replied to Alexey's topic in Applied Chemistry
>Do you ever get answers to this when you post it on forums? No. Why you ask? >Is it homework help, or thesis work? It is thesis work. Why you ask? Thank you very mach for link! -
Prompt please where it is possible to find algorithm of the numerical decision of stochastic Shrodinger equation with casual potential having zero average and delta – correlated in space and time? The equation: i*a*dF/dt b*nabla*F-U*F=0 where i - imaginary unit, d/dt - partial differential on time, F=F (x, t) - required complex function, nabla - Laplas operator, U=U (x, t)- stochastic potential. Delta-correlated potential <U(x,t)U(x`,t`)>=A*delta(x-x`) *delta(t-t`) . where delta - delta-function of Dirack, A – const, <> - simbol of average, Zero average: <U(x,t)>=0 Gaussian distributed P(U)=C*exp(U^2/delU^2) Where C, delU - constants.
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Prompt please where it is possible to find algorithm of the numerical decision of stochastic Shrodinger equation with casual potential having zero average and delta – correlated in space and time? The equation: i*a*dF/dt b*nabla*F-U*F=0 where i - imaginary unit, d/dt - partial differential on time, F=F (x, t) - required complex function, nabla - Laplas operator, U=U (x, t)- stochastic potential. Delta-correlated potential <U(x,t)U(x`,t`)>=A*delta(x-x`) *delta(t-t`) . where delta - delta-function of Dirack, A – const, <> - simbol of average, Zero average: <U(x,t)>=0 Gaussian distributed P(U)=C*exp(U^2/delU^2) Where C, delU - constants.
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Dear frands! Prompt please references to works in which it was considered the Schrodinger equation with stochastic (random) Gaussian delta-correlated potential which time-dependent and spaces-dependent and with zero average (gaussian delta-correlated noise). I am interesting what average wave function is equal. U - potential. <> - simbol of average. P(F) - density of probability of existence of size F. Delta-correlated potential which time-dependent and spaces-dependent: <U(x,t)U(x`,t`)>=A*delta(x-x`) *delta(t-t`) delta - delta-function of Dirack. A - const. Zero average: <U(x,t)>=0 Gaussian potential (existence of probability is distributed on Gauss law): P(U)=C*exp(U^2/delU^2) C - normalizing constant. delU - root-mean-square fluctuation of U.
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U - potential. <> - simbol of average. P(F) - density of probability of existence of size F. Delta-correlated potential which time-dependent and spaces-dependent: <U(x,t)U(x`,t`)>=A*:lcdelta:(x-x`) *:lcdelta:(t-t`) :lcdelta: - delta-function of Dirack. A - const. Zero average: <U(x,t)>=0 Gaussian potential (existence of probability is distributed on Gauss law): P(U)=C*exp(U^2/delU^2) C - normalizing constant. delU - root-mean-square fluctuation of U.
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Prompt please references to works in which it was considered the Schrodinger equation with stochastic (random) Gaussian delta-correlated potential which time-dependent and spaces-dependent and with zero average (gaussian delta-correlated noise). I am interesting what average wave function is equal.