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[NOTES/EM-03007]-Work done in field of a point charge

We discuss the path independence of the work done by static electric field. This leads to, as in mechanics, introduction of the electric potential. An expression of the electric potential is derived by an explicit computation of work done by on a unit positive charge by the electric field of a point charge $q$. For an arbitrary distribution of charges, the electric potential is obtained by making use of the superposition principle.

[NOTES/EM-03005]-Multipole Expansion of Potential

The large distance expansion of potential due to a localized charge distribution is obtained. The first three terms receiving contributions from the monopole, the dipole moment and the quadrupole moment are explicitly displayed. Important properties of dipole and quadrupole moment are discussed.

[SUNDAY-PHYSICS/CV-LEC-04] Taylor Series Expansion

[Sample PDF Document WITH TOC] Defining Electric and Magnetic Fields

TABLE OF CONTENTS

The electric field is defined as the force experienced by a unit positive charge in the direction of the electric field. A charge moving in magnetic field experiences a force perpendicular to the velocity and the magnetic field. The fields are defined in terms of the force experienced by a unit positive charge as described below.

[NOTES/TH-09001] Postulates of Thermodynamics

There exist particular states of simple systems, that are characterized, macroscopically by the internal energy, the volume $V$ and the mole numbers $N_1,N_2,\cdots,N_k$ of the chemical components.

[NOTES/QM-25005] Einstein $A$ and $B$ Coefficients

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[NOTES/QM-13010] Dirac Delta Function Potential -Direct integration of the Schr\"{o}dinger equation

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The energy eigenfunctions and eigenvalues for a particle in delta function potential are derived. It is found that, for an attractive delta function potential there is only one bound state.

[NOTES/QM-11007] Time Variation of Average Values

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Starting from the time dependent Schrodinger equation, it is proved that the average value a dynamical variable $\hat F$obeys the equation\begin{equation} {d\over dt}\, \langle \hat{F} \rangle = \,\langle{\partial\over \partial t} \hat{F} \rangle + {1\over i\hbar} \langle\, [\hat{F},\hat{H} ]\, \rangle.\end{equation}

[NOTES/QM-11006] Optics Mechanics Analogy Road to Wave Mechanics

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Making use of analogy between optics ad mechanics we motivate the introduction of the Schrodinger equation.
Here Fermi's "Lectures on Quantum Mechanics" has been followed very closely..

[NOTES/QM-11004] Time Reversal Symmetry

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Time reversal operation in quantum mechanics of one particle is discussed.

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