SLIDE 1
Fixing the Blackbody Problem
Ε hΝ 2 4 6 8 0.0 0.1 0.2 0.3 0.4 Ε Ε PΕ Planck’s Guess
Experimental Foundations – p. 1/7
Electromagnetic Waves
See more and here and here.
Experimental Foundations – p. 2/7
Fixing the Blackbody Problem Plancks Guess 0.4 0.3 h P 0.2 - - PowerPoint PPT Presentation
Fixing the Blackbody Problem Plancks Guess 0.4 0.3 h P 0.2 - - PowerPoint PPT Presentation
Fixing the Blackbody Problem Plancks Guess 0.4 0.3 h P 0.2 0.1 0.0 0 2 4 6 8 Experimental Foundations p. 1/7 Electromagnetic Waves See more and here and here. Experimental Foundations p. 2/7
SLIDE 2
SLIDE 3
Double-Slit Interference
d
Interfering waves
Experimental Foundations – p. 3/7
SLIDE 4
Diffraction
Electron diffraction by gold X-ray diffraction by Cr2O3
Experimental Foundations – p. 4/7
SLIDE 5
Matter Waves
Experimental Foundations – p. 5/7
SLIDE 6
Electromagnetic Waves
See more here and here.
Experimental Foundations – p. 6/7
SLIDE 7
The Postulates
- 1. Each physical, measurable quantity, A, has a corresponding operator,
ˆ A , that satisfies the eigenvalue equation ˆ A φ = aφ and measuring that quantity yields the eigenvalues of ˆ A .
SLIDE 8
The Postulates
- 1. Each physical, measurable quantity, A, has a corresponding operator,
ˆ A , that satisfies the eigenvalue equation ˆ A φ = aφ and measuring that quantity yields the eigenvalues of ˆ A .
- 2. Measurement of the observable A leaves the system in a state that is
an eigenfunction of ˆ A .
SLIDE 9
The Postulates
- 1. Each physical, measurable quantity, A, has a corresponding operator,
ˆ A , that satisfies the eigenvalue equation ˆ A φ = aφ and measuring that quantity yields the eigenvalues of ˆ A .
- 2. Measurement of the observable A leaves the system in a state that is
an eigenfunction of ˆ A .
- 3. The state of a system is represented by a wave function Ψ which is
continuous, differentiable and contains all the information about it. The average value of any observable A is determined by A =
- all space Ψ∗ ˆ
A Ψd r. The ‘intensity’ is proportional to|Ψ|2.
SLIDE 10
The Postulates
- 1. Each physical, measurable quantity, A, has a corresponding operator,
ˆ A , that satisfies the eigenvalue equation ˆ A φ = aφ and measuring that quantity yields the eigenvalues of ˆ A .
- 2. Measurement of the observable A leaves the system in a state that is
an eigenfunction of ˆ A .
- 3. The state of a system is represented by a wave function Ψ which is
continuous, differentiable and contains all the information about it. The average value of any observable A is determined by A =
- all space Ψ∗ ˆ
A Ψd r. The ‘intensity’ is proportional to|Ψ|2.
- 4. The time development of the wave function is determined by
i∂Ψ( r, t) ∂t = − 2 2µ∇2Ψ( r, t) + V ( r)Ψ( r, t) µ ≡ reduced mass.
Experimental Foundations – p. 7/7