Final Exam Flashcards
(83 cards)
What are the differences between facts,
theories, and interpretations? Why do
these differences matter?
Fact - empirical
Theory - mathematics behind the theory
Interpretations - philosophical questions about reality
Facts are not the theory nor do they prove the theory but the theory came first and does explain the facts there are alternative theories. There is no real way to know what interpretation is the correct one.
What are the quantum facts?
When an electron gun fires at two split w/o a detector a particle pattern occurs with a detector a wave pattern occurs
Or an experiment with photon splitters and beam combiners again when off wave pattern when on particle pattern
What are electrons? Protons? How do
we produce them?
Particles with a charge can be produced by “electron/proton gun”
What is a particle? What is a wave? How
do they differ?
Wave does not exist at a defined point a particle does
Why is there a concern for reality when it
comes to quantum entities?
Because they appear to be both particles and waves which does not fit our current understanding of reality
What is meant by the “wave effect” and
the “particle effect” in the two-slit
apparatus experimental set-up?
Wave effect has the bar like patterns whereas the particle effect has dots and only one detector goes off at a time
Compare and contrast the differences
between experiments 1, 2, 3, & 4.
1 + 2 two slit experiment 1 off = wave 2 on = particle
3 + 4 same but with beam splitter and combiner
What are the results of these experiments surprising?
Because it sugests not only that at the quantum level particles can be both a wave and a particle additionally that measurement can impact such state
particle v wave mathematics
particle - dropping a bowling ball it deals with a concrete object
wave - not discrete uses different math
If the mathematics for quantum is not
controversial, why is quantum theory so
unusual? What are the minor and the
major issues DeWitt discusses?
The math isn’t controversial because it is correct it is the implications of the theory that are controversial (major)
also instead of providing exact predictions its predictions are probabilistic (minor)
What is the unremarkable fact about
wave mathematics? remarkable
What is the bottom line of these two
facts about wave mathematics?
Waves come in families
any wave can be produced with just those of one family (if certain combination)
quantum system is represented as wave - measurements are associated with a family of waves - predictions about the outcome are arrived at by finding the members of the measurement family that produce the quantum representation
What is meant by the interpretation of
mathematics? Why is this important?
What we take the mathematics to mean about reality
Because it impacts our worldview and is controvertial
What is a wave function
a piece of wave mathematics for a system - usually represents a quantum system
What are the three measurable qualities of quantum entities
position momentum and spin
What does Schrödinger’s equation allow
scientists to do? What is the rough
analog DeWitt draws?
allows predictions of quantum systems over time like newton’s equations do
What is the measurement problem
one aspect of the measurement problem is that technically anything can be used to make measurements
the question then becomes why do quantum entities seem to behave differently when they are measured if it is arbitrary
What is the standard approach to quantum theory
The approach that uses the standard mathematics of quantum theory the “Copenhagen” interpretation
What is a measurement
A way humans gain information about an object notably measurement is dependent on what is of interest to us
Measurement in Newtonian physicis
Taking measurements has no impact on the system
Measurement in Quantum physics
leads to the collapse of the wave function
What is superposition of states
When a wave function has a quantum entity existing in two or more different states such as when a photon hits a beam slitter
What is the projection postulate and what else is it known as?
What does the projection postulate have
to do with superposition and
Schrödinger’s equation?
the projection postulate is that when we make a measurement of a wave function we insert that measurement into the wave function leading to its collapse
it ends the evolution of superposition in Schrodinger’s equation collapsing the wave function
What is the collapse of the wave function
(also referred to as the reduction of the
wave packet)? How does DeWitt decide
to treat this terminology?
It is when the mathematics of the equation cause the quantum entity to no longer exist in a state of superposition
for Dewitt this is understood instrumentally as representing the mathematics
What is a thought experiment
an experiment that is thought out rather than preformed in order to explore a problem (so that we don’t have to kill cats unnecessarily in this case)