physical chemistry
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Psi(x, t) has no direct physical meaning
true

The kinetic energy of a wavefunction is related to its curvature
true

For a general onedimensional wavefunction Psi(x), the wavevector Psi> is
infinitedimensional
true

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
false

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

For a free particle, [Hˆ, pˆ] = 0
true

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
false

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

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

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

For a onedimensional wavefunction
<x>, the wavevector psi is always one dimensional
false

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

In quantum mechanics, two wavefunctions
are always orthogonal
false

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

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

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

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

For an electron, the value s can be +,1/2
false

In quantum mechanics, an electron and proton are always distinguishable
true

the Pauli exclusion principle applies to both fermions and boson
false

It is possible to have the following term symbol for a multielectron atomic state ^{1}D_{1}
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

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

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

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

for a singleparticle system with a spherically symmetric potential, the eigenfunctions of H^will involve the spherical harmonics
true

L^{^2} and L^{^}_{x} are compatible observables
true

the term symbol for an atomic state with J=2, L=1, and S=0 is ^{1}D_{1}
false

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

for multielectron atoms, the energy of the singleparticle states only depends on n
false

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

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

semiconductors have band gaps, but insulators do not
false

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

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