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Determine whether each statement is True (T) or False (F). a. ____ Two eigenfunc

ID: 988976 • Letter: D

Question

Determine whether each statement is True (T) or False (F). a. ____ Two eigenfunctions of the same Hermitian operator are always orthogonal. b. ____ The sum of two Hermitian operators is a Hermitian operator. c. ____ The absolute value of -3e-i/5 is 3. d. ____ The complex conjugate of -2 is 2. e. ____ 3x is an eigenvalue of operator x. f. ____ g(x)[Â + Â] is an operator. g. ____ For a particle in a 1-dimensional box stationary state, = 0. h. ____ The normalization constant for the wavefunction cos (2x/L) is (2/L)1/2 . i. ____ The commutator of the operations x3 and d2/dx is 3x. j. ____ If the normalized wave function (x) = (2/A)1/2 sin(2x/A), then I(x)I2 = (2/A)sin2(2x/A).

Explanation / Answer

a) True

b)False

c)False

d) True

e)False

f) False

g) True

h)False

i)True

j)True

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