18869989
Description
Mind Map by Chelsea Murray, updated more than 1 year ago
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Created by hmccain
about 9 years ago
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Copied by Chelsea Murray
about 5 years ago
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Quantum physics
- Amplitudes
- Complex #'s
- Born Rule
- Born Rule: Probability of event =
|psi|^2
- Born Rule: Probability of event =
|psi|^2
- IFM
- FMI: interaction free
measurement
- FMI: interaction free
measurement
- Follows from max
possible knowledge of system
- Complex #'s
- Uncertainty
- Heisenberg
- Planck's
length
(h)
- E= ~hw, p=~hk; ~h = h/2pi dx*dp \> h
- Trans: If you pinpoint the position of
a specific particle, then you won't be
able to precisely measure its
momentum. And if you precisely
measure a particles momentum,
then you cannot know its exact
position
- Also, if we try to measure the
momentum of the wave, this
uncertainty shows up with how
accurately we can measure it - classical
mechanics fails at this point.
- Also, if we try to measure the
momentum of the wave, this
uncertainty shows up with how
accurately we can measure it - classical
mechanics fails at this point.
- Planck's
length
(h)
- Feynman quote
- "Yes! physics has given up. We do not know how
to predict what would happen in a given
circumstance, and we believe now that it is
impossible - that the only thing that can be
predicted is the probability of different events.
- "Yes! physics has given up. We do not know how
to predict what would happen in a given
circumstance, and we believe now that it is
impossible - that the only thing that can be
predicted is the probability of different events.
- Universe in very real
sense, unknowable
- Heisenberg
- Wave Particle duality
- Waves
- Wave eqation
- Schroedinger Equations
- Operators
- hermitian
- A linear vector operator
- A linear vector operator
- Hilbert Space
- Complex-valued linear vector space; complete
space w/ an inner product
- inner product: generalised dot product
- inner product: generalised dot product
- Complex-valued linear vector space; complete
space w/ an inner product
- a mapping between
vectors; a vector function
- hermitian
- Operators
- Schroedinger Equations
- Wave eqation
- Particles
- individual particles unpredictable; lots
of them follow
statistical/probabilistic laws
- individual particles unpredictable; lots
of them follow
statistical/probabilistic laws
- Feynman quote
- exhibits different
behaviour at different
frequencies
- exhibits different
behaviour at different
frequencies
- Waves
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