physical chemistry

Psi(x, t) has no direct physical meaning
True False

The kinetic energy of a wavefunction is related to its curvature
True False

For a general one-dimensional wavefunction Psi(x), the wavevector |Psi> is
infinite-dimensional
True False

Given a general wavefunction Psi(x,t) and two compatible observables, Aˆ and
Bˆ , any measurement of Bˆ yields the same result as a measurement of Aˆ and then Bˆ
True False

According to the uncertainty principle, if sigma_x is very large, then the momentum is well determined
True False

The Psi_n ’s for the quantum harmonic oscillator go to zero at the classical turning points, that is Psi_n(x)=0 when V(x)=E_n, where V(x) is the harmonic potential
True False

For a free particle, [Hˆ, pˆ] = 0
True False

If a single particle approaches a potential barrier, its wavefunction is always
completely transmitted if it has kinetic energy above the height of the barrier
True False

Stationary states have a probability density that does not change with time
True False

Psi(x, t) can be both positive and
negative
True False

When we measure the energy of a quantum
harmonic oscillator we always get one of its eigenvalues, En .
True False

For a one-dimensional wavefunction
<x>, the wavevector psi is always one dimensional
True False

For an ensemble of identically prepared
quantum mechanical particles, if <x>=0 then <p>=0
True False

In quantum mechanics, two wavefunctions
are always orthogonal
True False

In quantum mechanics, sometimes the
measurement of an observable never yields the expectation value of that
observable
True False

The uncertainty principle allows us to
measure the position of a quantum mechanical particle exactly
True False

If a single quantum mechanical particle
approaches a potential barrier, its wavefunction can be both reflected and
transmitted at the same time
True False

The function exp(kx) with k real and
positive is in Hilbert space
True False

For an electron, the value s can be +,-1/2
True False

In quantum mechanics, an electron and proton are always distinguishable
True False

the Pauli exclusion principle applies to both fermions and boson
True False

It is possible to have the following term symbol for a multielectron atomic state ¹D₁
True False

If we know a wavefunction near one atom in a solid, Bloch's theorem allow us to know this wavefunction at the equivalent position near every other atom within the solid
True False

the variational principle allows one to minimize the ground state energy by varying H^'
True False

In a multielectron atoms, he 3p orbitals are lower in energy than the 4s orbitals
True False

for two identical fermions, the spatial component of the overall wavefunction must be antisymmetric with respect to exchange
True False

for a single-particle system with a spherically symmetric potential, the eigenfunctions of H^will involve the spherical harmonics
True False

L^{^2} and L^{^}_x are compatible observables
True False

the term symbol for an atomic state with J=2, L=1, and S=0 is ¹D₁
True False

for an electron, the general spin tate can be represented by the column vector (a b)'
True False

for multielectron atoms, the energy of the single-particle states only depends on n
True False

In our mathematical treatment of the hydrogen atom, the potential energy function only affected the radial equation
True False

perturbation theory is mostly concerned with the calculation of the ground state energy
True False

semiconductors have band gaps, but insulators do not
True False

Bloch's theorem states that the wavefunction in a solid is the same for each atom in the solid

the electron has a spin angular momentum because it is rotating in space
True False