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Title	Name	Date
[NOTES/ME-06005] Bounded Motion --- Oscillations Around Minimum $\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1\|#2\|#3\rangle}$ $\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$ $\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$ $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$ $\newcommand{\average}[2]{\langle#1\|#2\|#1\rangle}$	AK-47	24-04-08 07:04:01
[NOTES/ME-06002a]-General Properties of Motion in One Dimension $\newcommand{\DD}[2][]{\frac{d^2 #1}{d^2 #2}}$ $\newcommand{\matrixelement}[3]{\langle#1\|#2\|#3\rangle}$ $\newcommand{\PP}[2][]{\frac{\partial^2 #1}{\partial #2^2}}$ $\newcommand{\dd}[2][]{\frac{d#1}{d#2}}$ $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$ $\newcommand{\average}[2]{\langle#1\|#2\|#1\rangle}$	AK-47	24-04-08 07:04:13
[NOTES/ME-08003]-Effect of Earth's Rotation --Centrifugal Force	AK-47	24-04-08 07:04:57
[NOTES/CM-05005] Runge Lenz Vector It is proved that the Runge-Lenz vector \begin{equation} \vec{N} = \vec{v} \times \vec{L} - \frac{k\vec{r}}{r} \end{equation} is a constant of motion for the Coulomb potential \(-k/r\).	kapoor	24-04-08 04:04:16
[NOTES/SM-06001] Equilibrium Conditions for Open Systems $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$	kapoor	24-04-07 16:04:13
[NOTES/CM-02007] Conservation of Energy If the Lagrangian does not depend on time explicitly, the Hamiltonian \(H=\sum_{k=1}\frac {\partial{L}}{\partial{\dot q_k}}\dot q_k-L\) is a constant of motion. For conservative systems of many particles, the Hamiltonian coincides with the total energy. is conserved.	kapoor	24-04-07 15:04:35
[NOTES/SM-06002] Gibbs Distribution $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}$	kapoor	24-04-07 13:04:11
[NOTES/SM-06004] Grand Canonical Ensemble --- Pressure and Chemical Potential Using thermodynamics to express TdS in terms of Gibbs energy and comparing TdS expression in terms of the grand canonical partition function we obtain pressure and chemical potential function in terms of grand canonical partition function.	kapoor	24-04-07 12:04:54
[NOTES/SM-06005] Entropy and Energy in Terms of Grand Canonical Partition Function In this article various thermodynamic functions are expressed in terms of the grand canonical partition function. $\newcommand{\pp}[2][]{\frac{\partila #1}{\partial #2}}\newcommand{\Zca}{\mathcal Z}\newcommand{\Label}[1]{\label{#1}}$	kapoor	24-04-07 12:04:13
[NOTES/SM-06006] Mean Occupation Number for Identical Fermions and Bosons $\newcommand{\pp}[2][]{\frac{\partial #1}{\partial #2}}\newcommand{\Zca}{\mathcal Z}$ Using occupation number representation for identical particles, the grand canonical partition function is expressed in terms of single particle partition function. This is then used to discuss cases of identical fermions and identical bosons. Mean occupation number for fermions and bosons is obtained.	kapoor	24-04-07 12:04:52

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