3 - Calculate the Laplace transform of f(t) = sinh(2t)

Q: Find the reflection and transmission coefficients for particles incident from the left on a double…

A: Given:Potential V(x) = Vofor  -b≤x≤-a and a≤x≤b0otherwiseEnergy of the particle, E is less than…

Q: Where is the 1/2 coming from?

A: Write the expression for the distance. Here, v is the distance and Δt is the time difference. In…

Q: Find DFT for the sequence [ 0.5 1 1.5-2] using FFT.

A: The FFT algorithm works by recursively dividing the input sequence into smaller sub problems and…

Q: show that the wave function y=ln[b(v-xt)] is the solution of a wave function where b is constant

A: The linear wave equation in general,

Q: 4-36. The transition from the first excited state to the ground state in potassium results in the…

A:

Q: (b) A periodic square wave (for example, a diffraction grating, electron density in a 1D crystal)…

A: Given A periodic square wave  can be represented as a convolution between a square pulse and an…

Q: Find the Fourier transform of e-a²t² Hint: Use the integral formula Sе-¹² du = √

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Q: 11 SSM If orbital angular momentum L is measured along, say, az axis to obtain a value for L, show…

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Q: 2. Consider the raising and lowering operators of a one-dimensional harmonic oscil- lator, â = √√(q…

A: I have written some important formulas

Q: IN A LASER STRUCTURE, THE EXISTENCE OF STANDING WAVES IS POSSIBLE AT FREQUENCIES FOR WHICH THE…

A: for standing waves L=nλ2 where n = 1,2, 3 ... etc

Q: 1. Show that explicit application of the lowering operator in terms of x and d/dx operators on the n…

A: We will first write expressions for lowering operator, and harmonic oscillator wavefunctions for m=3…

Q: 1- Consider a wave packet with g(k) given by gk) = 0 k 1

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Q: z+1 f(z) = 2+ 1-e Show that f(z)dz = [f(z)dz

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Q: ii) Calculate the value of the HOMO and the LUMO wavefunctions at x= 0.300L and at x= 0.500L. %3!

A:

Q: Calculate the de Broglie wavelength of a proton with energy 1000 eV.

A: Given: Planck's constant,h=6.626×10-34JsMass of proton,m=1.67×10-27kgEnergy,E=1000eV=1000×1.6×10-19J…

Q: Energy emitted from a point source spreads radially outward through spherical waves. Its intensity…

A: Required : Variation of intensity with radial distance.

Q: 4. The wiring in a house must be thick enough so it doesn't become so hot as to start a fire. What…

A: We will calculate resistance per unit length and will use resistance formula,