Question 1 Consider A Spinless Particle Confined To Move In An Infinite Rectangular Potential Well Given By V X For 1 (35.43 KiB) Viewed 17 times
Question 1 Consider A Spinless Particle Confined To Move In An Infinite Rectangular Potential Well Given By V X For 2 (35.43 KiB) Viewed 17 times
Question 1 Consider A Spinless Particle Confined To Move In An Infinite Rectangular Potential Well Given By V X For 3 (35.43 KiB) Viewed 17 times
QUESTION 1 Consider a spinless particle confined to move in an infinite rectangular potential well given by V(x) = { foro <x<a, 0<y<b,0<2<c otherwise abc a? 1.1 Show that the eigenfunctions and the energy eigenvalues of the particle are Unimen, (x,y,z) = sin","x)sin(";" y) sin(""), n,,nu,ng = 1,2,3,.... (:znz, and Engnano ++), respectively. hr [Hint: Use the TISE and the method of separation of variables) (10) Consider the case of the infinite cubic well potential (a = b = c = L) 1.2.1 Write the expressions of the wave function and the energy cigenvalue, respectively (1) 1.2.2 Discuss the degeneracy of the ground state and the first excited state. (4) 1.2.3 Write down the expression of one of the first excited state wave function. (2) 1.2
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