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physics.ed-ph2007★ 30 cited
The physical meaning of Lagrange multipliers
Hasan Karabulut
A rule to assign a physical meaning to Lagrange multipliers is discussed. Examples from mechanics, statistical mechanics and quantum mechanics are given.
math-ph2007★ 15 cited
Distributed Gaussian polynomials as q-oscillator eigenfunctions
Hasan Karabulut
Karabulut and Sibert (\textit{J. Math. Phys}. \textbf{38} (9), 4815 (1997)) have constructed an orthogonal set of functions from linear combinations of equally spaced Gaussians. In…
cond-mat.stat-mech2007★ 3 cited
Direct simulation for a homogenous gas
Hasan Karabulut
A probabilistic analysis of the direct simulation of a homogeneous gas is given. A hierarchy of equations similar to the BBGKY hierarchy for the reduced probability densities is de…