Potential Well
What is the potential between x=0 and x=L in a square well potential?
V(x)=0
True or False: In a quantum system, a particle will always reflect off a potential barrier if its energy is less than the potential.
False
What is the degeneracy of a Hydrogen atom in the 3d state?
10
What indicates the emission or absorption of a photon in an atom?
What is the ground state of a quantum harmonic oscillator?
n=0
n=1
The probability of reflection plus the probability of tunneling is always equal to ________.
1
The radial wave equation for the Hydrogen atom only depends on what varible?
r
The selections rules for a transitioning electron are: __________
Δl=+-1 and Δml=0,+-1
Energy levels in a quantum harmonic oscillator differ by a constant value equal to __________.
ℏω
The __________ indicates the most likely position of the particle within a potential well.
The probability denisty
Quantum barriers differ from classical barriers in that a particle can go over, reflect, or ___________.
Tunnel/Transmit
The hydrogen atom is modeled in spherical coordinates because the __________ is spherically symmetric.
Coulomb potential
This principle states that no two electrons in an atom can have the same set of quantum numbers.
The Pauli Exclusion Principle
What is the name of the ground state of a quantum harmonic oscillator?
Zero point energy
What is the normalization constant for the wave function of a particle in an infinite square well potential?
A=sqrt(2/L)
What has the most effect on whether a particle will tunnel through a potential barrier?
Width of the barrier
The derivative of the radial probability corresponds to the _________ expectation value.
__________ occurs when an electron exists in different quantum states at the same energy level.
Degeneracy
A particle in a quantum harmonic system begins to behave classically when the energy level becomes _________.
Very large
sqrt(<x2>-<x>2) represents the __________ of the positional expectation value.
standard deviation
Outside of the potential barrier, the wave equation function of a particle is sinusoidal; however, while tunneling through a barrier, the wave function decays ___________.
Exponentially
Degeneracy is eliminated in the presence of a __________.
External magnetic field
The x and y components of angular momentum cannot be known because of which principle.
The Heisenberg Uncertainty Principle
Which set of equations dictate the probability that a wave function exists outside of the bounds of a quantum harmonic oscillator?
The Hermite Polynomials