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Introduction to Quantum Mechanics - Calculus Based Physics I | PHYS 2110, Study notes of Physics

Material Type: Notes; Professor: Farris; Class: Calculus Based Physics I; Subject: Physics; University: Volunteer State Community College; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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Ch40Introductionto
QuantumMechanics
40.1BlackbodyRadiation&Planck'sHypothesis
A blackbody isanobjectthatabsorbsallradiation
incidentuponit,butyoucanthinkofitasanobjectat
uniformtemperature.
Boththepeakwavelength
emitted&theamountof
radiationemittedatagiven
wavelengthdependupon
thetemperature.
Wecanmodelthe
relationshipbetween
temperatureandthe
peakintensity's
wavelengthwith"Wein's
Law:"
Title:Apr278:03AM(1of7)
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Ch 40 Introduction to

Quantum Mechanics

40.1 Blackbody Radiation & Planck's Hypothesis

Ablackbody is an object that absorbs all radiation

incident upon it, but you can think of it as an object at

uniform temperature.

Both the peak wavelength

emitted & the amount of

radiation emitted at a given

wavelength depend upon

the temperature.

We can model the

relationship between

temperature and the

peak intensity's

wavelength with "Wein's

Law:"

Classical Picture : (try to explain with Newton & Maxwell) Thermal motion of charged (electrons/ions) near the surface emit electromagnetic (EM) radiation like small antennas resonating. However, this predicts an increasing amount of radiation at shorter λ's that isn't seen in experimentsthe "ultraviolet catastrophe"

Enter Max Planck (1900), who proposed the following: each of these "resonators" can only have discrete energies

the energy comes out in discrete "packets" named photons (by Einstein, 1905) when a resonator changes energy levels.

40.3 The Compton Effect The scattering of (xray) photons off electrons.

classical view:

electrons accelerate in the direction of xray beam electrons will oscillate and emit Dopplershifted xrays over a spread of wavelengths

quantum view(collision of an xray "particle/photon" with e.)

elastic collision of 2 particles

momentum & energy of the incoming photon:

for the outgoing photon:

The electron also picks up some kinetic energy & momentum.

Apply conservation of momentum & kinetic energy

The classical picture and the quantum picture make

different, specific predictions about the scattered xrays.

Observations are consistent with the quantum picture & not

the classical picture> more evidence that energy is

energy is quantized & comes in "packets."

HW (due Wed 4/29last homework due)

Ch 40 pp 13141316:

P 2, 7ab, 9, 31

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