In: Physics
10.74 What are the eigenfunction, good kuantum numbers, and eigenergy degeneracies for the following configurations?
(a) A free particle moving in three dimensions in (i) Cartesian (ii) spherical and (iii) cylindrical coordinates
(b) A particle confined to a (i) cubica box (ii) spherical box (iii) cylindrical box
(c) In each case state which type of degeneracy is described (see. Section 8.5) for infinite degeneracies discuss the nature of these infinities (i.e continuous or discrete)
Find below the Eigen function, good quantum numbers and Eigen degeneracies for the following options-
(a) A free particle moving in three dimensions in (i) Cartesian (ii) spherical and (iii) cylindrical coordinates