The kinetic energy of a wavefunction is related to its curvature
true
For a general one-dimensional wavefunction Psi(x), the wavevector |Psi> is
infinite-dimensional
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 one-dimensional 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 single-particle 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 single-particle 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
Author
stu90
ID
97334
Card Set
physical chemistry
Description
true/false quiz for quantum mechanics basic course