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- Use Figure 1.11 to construct the cyclic rule equivalent of Does the answer make sense in light of the original partial derivative?4. Observables & Operators. State both classical-mechanical bbservables (i) Momentum (ii) Angular Momentum L² and L₂ (iii) Potential Energy (iv) Total EnergyCan you help me, please?
- a) The physical interpretation of the wavefunction and the fact that it is a solution of the Schroedinger equaton, which is a 2nd order differential equation, causes many restrictions on an acceptable wave function solution: (i) it must be single valued; (ii) it must be continuous; (iii) its slope must be continuous; and (iv) it must be normalizable or normalized. Sketch the following functions and check whether they can be wave function. Explain your answers. 1) 4(x) = for 0 < x <∞ 2) Y(x) = | sin(nx)|, for 0 < x< 2 3) Ҹ(x) %3D In (x), for 1 < x < 0o S0 for – 1 < x < 0 (1 for 0P3.37 Prove that Cy = -(V), (3), Ub) Determine the commutator i.e. [θ‚΂] = (΂΂ − ΂΂x)ƒ(xyz) = ?1. Using Huckel model write down the Hamiltonian matrix for butadiene. Show that wavefunctions with coefficients (-0.602,-0.372,0.372,0.602) and (0.372,0.602,0.602,0.372) are eigenfunctions and determine the corresponding eigenvalues 2. For linear alternating hydrocarbons B(Beta)=-2.4 eV. Using the Huckel model determine the difference in energy between the highest occupied and lowest unoccupied orbitals for linear alternating hydrocarbons with 10, 20, 50, 100, and 200 carbon atoms.State whether each of the functions (a) to (d) is quadratically integrable.(a and b are positive constants.)(a)(b)(c)1/x.(d)True or false?A function that becomes infinite at a point must not be quadratically integrable.In cartesian coordinate system, differential volume element is dxdydz. Infer the wwww w wwwww wwwwM differential volume element in spherical polar coordinate system?SEE MORE QUESTIONS