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Quantum Mechanics

derive the formula for the energy density of radiation inside an enclosed cavity

at constant temperature T using classical physics.Show how the classical theory is modified to correctly explain the energy density.

at constant temperature T using classical physics.Show how the classical theory is modified to correctly explain the energy density.

Quantum Mechanics

derive the formula for the energy density of radiation inside an enclosed cavity at constant temperature T using classical physics, show how the classical theory is modified.

Quantum Mechanics

How long do quantum fluctuations last for?

Like can they in theory, if a long enough period of time passed isnt it possible for, idk, a baseball to suddenly appear. I just want to know. If in theory quantum fluctuations can create matter from nothing and the matter staying in exsistance. Sorry if this question was worded a bit weird.

Like can they in theory, if a long enough period of time passed isnt it possible for, idk, a baseball to suddenly appear. I just want to know. If in theory quantum fluctuations can create matter from nothing and the matter staying in exsistance. Sorry if this question was worded a bit weird.

Quantum Mechanics

Calculate phase shifts for quantum scattering, and then in terms of these phases give an ac-

count on scattering amplitude. As an application consider a sphere of radius r, assuming a certain

potential V such that it is infinite inside the sphere and minimum outside the sphere. Calculate phase

shifts for this sphere.

count on scattering amplitude. As an application consider a sphere of radius r, assuming a certain

potential V such that it is infinite inside the sphere and minimum outside the sphere. Calculate phase

shifts for this sphere.

Quantum Mechanics

A particle of mass M, initially at rest decays into two particles with rest masses m1 and m2 respectively. Show that the total energy of the mass m1 is

E1= c^(2) [M^(2)+ m1^(2) - m2^(2)] / 2M

c= speed of light

E1= c^(2) [M^(2)+ m1^(2) - m2^(2)] / 2M

c= speed of light

Quantum Mechanics

Discuss some applications of Legendre polynomial in physics. Derive in detail

Spherical harmonics Laguerre polynomials

Spherical harmonics Laguerre polynomials

Quantum Mechanics

. In Dirac’s theory, the probability current density is defined by the relation j(r, t) = CΨ* αΨ ,

where Ψ is the four component wave vector. Write the relations for jx, jy, jz in terms of the

component of Ψ i.e.

J(r, t) = Ψ*α Ψ ; jx = C Ψ* αx Ψ

Quantum Mechanics

Discuss some applications of Legendre polynomial in physics. Derive in detail

Spherical harmonics Laguerre polynomials.

Spherical harmonics Laguerre polynomials.

Quantum Mechanics

using the equipartition of energy concept estimate the ideal gas Cp(not Cv) in units KB for the low temperature regime where no vibrational modes are activated(if you calculate Cp=42KB, enter 42 as your answer )

Quantum Mechanics

Show that

i. σ’x2 = σ’y2 = σ’z(2) = 1

ii. [σ’x , αx ] = 0 ,

[σ’x , αy ] = 2i αz &

[σ’x , αz] = -2i αy

i. σ’x2 = σ’y2 = σ’z(2) = 1

ii. [σ’x , αx ] = 0 ,

[σ’x , αy ] = 2i αz &

[σ’x , αz] = -2i αy