67. We plug Eq. 39-17 into Eq. 39-16, and note that

dψ

dx

=

d

dx

Ae

ikx

+ Be

−ikx

= ikAe

ikx

− ikBe

−ikx

.

Also,

d

2

ψ

dx

2

=

d

dx

ikAe

ikx

− ikBe

−ikx

=

−k

2

Ae

ikx

− k

2

Be

ikx

.

Thus,

d

2

ψ

dx

2

+ k

2

ψ =

−k

2

Ae

ikx

− k

2

Be

ikx

+ k

2

Ae

ikx

+ Be

−ikx

= 0 .

Document Outline

• Main Menu
• Chapter 1 Measurement
• Chapter 2 Motion Along a Straight Line
• Chapter 3 Vectors
• Chapter 4 Motion in Two and Three Dimensions
• Chapter 5 Force and Motion I
• Chapter 6 Force and Motion II
• Chapter 7 Kinetic Energy and Work
• Chapter 8 Potential Energy and Conservation of Energy
• Chapter 9 Systems of Particles
• Chapter 10 Collisions
• Chapter 11 Rotation
• Chapter 12 Rolling, Torque, and Angular Momentum
• Chapter 13 Equilibrium and Elasticity
• Chapter 14 Gravitation
• Chapter 15 Fluids
• Chapter 16 Oscillations
• Chapter 17 Waves—I
• Chapter 18 Waves—II
• Chapter 19 Temperature, Heat, and the First Law of Thermodynamics
• Chapter 20 The Kinetic Theory of Gases
• Chapter 21 Entropy and the Second Law of Thermodynamics
• Chapter 22 Electric Charge
• Chapter 23 Electric Fields
• Chapter 24 Gauss’ Law
• Chapter 25 Electric Potential
• Chapter 26 Capacitance
• Chapter 27 Current and Resistance
• Chapter 28 Circuits
• Chapter 29 Magnetic Fields
• Chapter 30 Magnetic Fields Due to Currents
• Chapter 31 Induction and Inductance
• Chapter 32 Magnetism of Matter: Maxwell’s Equation
• Chapter 33 Electromagnetic Oscillations and Alternating Current
• Chapter 34 Electromagnetic Waves
• Chapter 35 Images
• Chapter 36 Interference
• Chapter 37 Diffraction
• Chapter 38 Special Theory of Relativity
• Chapter 39 Photons and Matter Waves
  • 39.1 - 39.10
    • 39.1
    • 39.2
    • 39.3
    • 39.4
    • 39.5
    • 39.6
    • 39.7
    • 39.8
    • 39.9
    • 39.10
  • 39.11 - 39.20
    • 39.11
    • 39.12
    • 39.13
    • 39.14
    • 39.15
    • 39.16
    • 39.17
    • 39.18
    • 39.19
    • 39.20
  • 39.21 - 39.30
    • 39.21
    • 39.22
    • 39.23
    • 39.24
    • 39.25
    • 39.26
    • 39.27
    • 39.28
    • 39.29
    • 39.30
  • 39.31 - 39.40
    • 39.31
    • 39.32
    • 39.33
    • 39.34
    • 39.35
    • 39.36
    • 39.37
    • 39.38
    • 39.39
    • 39.40
  • 39.41 - 39.50
    • 39.41
    • 39.42
    • 39.43
    • 39.44
    • 39.45
    • 39.46
    • 39.47
    • 39.48
    • 39.49
    • 39.50
  • 39.51 - 39.60
    • 39.51
    • 39.52
    • 39.53
    • 39.54
    • 39.55
    • 39.56
    • 39.57
    • 39.58
    • 39.59
    • 39.60
  • 39.61 - 39.70
    • 39.61
    • 39.62
    • 39.63
    • 39.64
    • 39.65
    • 39.66
    • 39.67
    • 39.68
    • 39.69
    • 39.70
  • 39.71 - 39.80
    • 39.71
    • 39.72
    • 39.73
    • 39.74
    • 39.75
    • 39.76
    • 39.77
    • 39.78
    • 39.79
    • 39.80
  • 39.81 - 39.83
    • 39.81
    • 39.82
    • 39.83
• Chapter 40 More About Matter Waves
• Chapter 41 All About Atoms
• Chapter 42 Conduction of Electricity in Solids
• Chapter 43 Nuclear Physics
• Chapter 44 Energy from the Nucleus
• Chapter 45 Quarks, Leptons, and the Big Bang