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An object is launched at a velocity of 20m/s in a direction making an angle of 25° in a 50 meter elevation. How long is the object in the air? What is the range of the object?

A quantum SHO with frequency ω is perturbed by a potential H1 =λ(a†3 + 3a†2a +3aa2 +a3). Find the first and second order corrections to the ground state energy.


A quantum SHO with frequency ω is perturbed by a potential H1 =λ(a†3 + 3a†2a +3a†3a2 +a3). Find the first and second order corrections to the ground state energy.


A delta function perturbation H1 = V0"\\delta"(x − 3L/4) is put inside an infinite potential well of width L with walls at x = 0 and x = L. Calculate the first and second order corrections to the energies.


Write down the expression for third order correction E12(3) to the n = 12 state of a Quatum SHO whose Hamiltonian is perturbed by ϵH1.


A quantum SHO with frequency ω is perturbed by a potential H1 =λ(a†3 + 3a†2a +a†3a2 +a3) .Find the first and second order corrections to the ground state energy.


1. Find the expectation value of square of energy of particle at x-axis ?

Derivation of the proof of uncertainty relationship between energy and time and State the physical significant


Write down the time-dependent schrödinger equation and motivate it with reference to a free particle wave function of well defined energy and momentum

Explain briefly the limitation of the Bohr model of the hydrogen atom

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