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What is the advantage of using spherical tensor over cartesian tensor?

The Cartesian tensor is just $3\times 3=9$ values tied to an arbitrary coordinate system, and they get scrambled by rotations. While as you point out, spherical tensors are irreducible, and that means:...
JEB's user avatar
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What is the advantage of using spherical tensor over cartesian tensor?

The Coulomb potential is spherically symmetric. As a consequence, the wave functions of electrons orbiting a nucleus contain spherical harmonics. Therefore it is better to work in a spherical basis.
Jesse's user avatar
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Confusion on the definition of dielectric permittivity

Dielectric permittivity quantifies how much do the dipoles inside a material want to get polarised ie how much do they want to align with an applied electric field such that the induced electric ...
Robin's user avatar
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Does the creation operators for photons with different polarization commute?

The commutation relations for the quantized EM field are $$\left[a_\mathbf{p}^s, a_\mathbf{p'}^{s'\dagger}\right] = \delta^{ss'}\delta^{(3)}(\mathbf{p} - \mathbf{p}')\,, \quad \left[a_\mathbf{p}^s, a_\...
Jesse's user avatar
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Does the creation operators for photons with different polarization commute?

Boson creation operators always commute, i.e. $[a_\alpha^\dagger, a_\beta^\dagger]=0$ for all $\alpha,\beta$. In fact, $[a_\alpha^\dagger,a_\beta]=0$ if $\alpha\ne \beta$ as well provided that $\...
ZeroTheHero's user avatar
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Bound Charges in Polarized Material

In chapter 4 lesson 2.1 you will see an image(FIGURE 8) of an object with irregular shape. The prime notation indicates that the differentiation or integration is being done with respect to the source ...
VnabP23's user avatar
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"Symmetric" photon polarization rotation

No it is not possible. The transformation of polarization is a $U(2)$ transformation and must be unitary so as to preserve the total photon number. The determinant of a unitary matrix $u$ satisties $...
ZeroTheHero's user avatar
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Does Electric Flux Density due to an external Electric field increase in a dielectric medium as compared to free space?

This question can best be explained by using the formula for of capacitance Q=CV or C = Q/V and the formula C = epsA/d where eps is permittivity of the medium between two plates of the capacitor, A is ...
Muhammad Amin's user avatar
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Color changes with polarization

Usually one measures wavelength. You can measure the wavelength with a diffraction grating.
mmesser314's user avatar
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