Consider a particle of mass m moving in the following potential V(x)= v1 for x<0 V(x)= 0 for 0S xv2. What is the grown state energy? And the normalized ground sate funcion

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Q: Consider a particle of mass m moving in the following potential V(x)= vị for xv2. What is the grown…

A: The potential is specified as: Vx=v1 for x&lt;0Vx=0 for 0≤x≤aVx=v2 for a&lt;x≤aVx=∞ for x&lt;2a…

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A: Introduction: The stationary state is called a stationary state because it remains in the same…

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A: Given, Vx=12kx2+ωx4+ω2x6The 1st excited state wave function for harmonic oscillator potential is…

Q: 3. Find the differential cross-section for the scattering of particles by a central symmetry…

A: To find the differential scattering cross section of potential given above

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A: Given,V=12kx2Lets consider a cgarged particle of mass m and charge e bound to harmonicoscillator…

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Q: c) Corsider the orthonormal basıs {17, 1273, the stote I Y>= l174 e® 27 and the operators and answer…

A: We will do the second part first to get a clear picture of solution

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Q: ii. The velocity potential for a two dimensional flow is 0 = x(2y-1). Determine the velocity at the…

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Q: 10. P15.6) Show that the total energy eigenfunctions y210(r, 0,4) and y211(r, 0,0) are orthogonal.…

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Q: Can u please show the math (step 5) step by step for this question

A: The given equations are  R1+R2+R3=6800 Ω................(2) R1+R22+R3=5762.7 Ω2R1+R2+2R3=2(5762.7)…

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A: Uμ  =  Four velocity  =  dxμdτ   a contra varient tensor of rank 1  and we know , dτ = dtγ   Now Uμ…

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A: a) kinetic energy, T = 12mx˙2+y˙2 potential energy,  V = mgy so the lagrangian of the system,  L =…

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Q: 7. 1. Calculate the energy of a particle subject to the potential V(x) Vo + câ/2 if the particle is…

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Q: Find a scalar potential, fi, if  F=(3x^2yz^2)i+(x^3z^2)j+(2x^3yz)k, and fi(1,1,1)=1

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A: Hamiltonian operator: H^ψ=-ℏ22m∂2ψ∂x2=-ℏ22m∂2e±ikx∂x2=±ℏ2k22mψ=Eψ Therefore, the given wavefunction…