
Dielectrics - II
... In the previous lecture we obtained a multipole expansion of the potential due to a continuous charge distribution. We discussed in some detail, the dipole part of this expansion and will be doing so in further detail later in this lecture. Let us make some comments on the quadrupoleterm. The most e ...
... In the previous lecture we obtained a multipole expansion of the potential due to a continuous charge distribution. We discussed in some detail, the dipole part of this expansion and will be doing so in further detail later in this lecture. Let us make some comments on the quadrupoleterm. The most e ...
geom exam review chapters 1_2_3_4_7
... 24. Find the slope of the line that passes through the points: (a) (1, 4) and (3, 2) (b) (12, -2) and (-2, -16) ...
... 24. Find the slope of the line that passes through the points: (a) (1, 4) and (3, 2) (b) (12, -2) and (-2, -16) ...
§3.2 Corresponding Parts of Congruent Triangles
... . Add 1to bothsides. b d b d a c ab cd If then ...
... . Add 1to bothsides. b d b d a c ab cd If then ...
20 ElectroMagnetic field: energy, momentum and angular momentum
... Note that only the entire surface-integral of the ElectroMagnetic stress tensor has a clear physical meaning. One has to be careful with the identification of the ElectroMagnetic stress tensor with the local momentum flux per unit area per unit time. In fact the ElectroMagnetic stress tensor is defi ...
... Note that only the entire surface-integral of the ElectroMagnetic stress tensor has a clear physical meaning. One has to be careful with the identification of the ElectroMagnetic stress tensor with the local momentum flux per unit area per unit time. In fact the ElectroMagnetic stress tensor is defi ...
3-2 - gibsongeometry
... Use the diagram above. Which lines, if any, must be parallel if are supplementary? It is given that ...
... Use the diagram above. Which lines, if any, must be parallel if are supplementary? It is given that ...
Chapter 16. Addition of Angular Momenta
... when we did not have computers but it is now obsolete. Moreover, angular momentum was very important at a time when many physicists and chemists applied quantum mechanics to calculate the properties of atoms. There is little interest in doing such calculations today. However, if you want to learn mo ...
... when we did not have computers but it is now obsolete. Moreover, angular momentum was very important at a time when many physicists and chemists applied quantum mechanics to calculate the properties of atoms. There is little interest in doing such calculations today. However, if you want to learn mo ...
Noether's theorem

Noether's (first) theorem states that every differentiable symmetry of the action of a physical system has a corresponding conservation law. The theorem was proven by German mathematician Emmy Noether in 1915 and published in 1918. The action of a physical system is the integral over time of a Lagrangian function (which may or may not be an integral over space of a Lagrangian density function), from which the system's behavior can be determined by the principle of least action.Noether's theorem has become a fundamental tool of modern theoretical physics and the calculus of variations. A generalization of the seminal formulations on constants of motion in Lagrangian and Hamiltonian mechanics (developed in 1788 and 1833, respectively), it does not apply to systems that cannot be modeled with a Lagrangian alone (e.g. systems with a Rayleigh dissipation function). In particular, dissipative systems with continuous symmetries need not have a corresponding conservation law.