Appendix: Problem Index
609
(a) σ y is real (b) Eigen value and Eigen vectors (c) projector
operators
2.79
(i) σ
2
x = 1 (ii) [σ x , σ y ] = 2iσ z
2.80
Condition for two operators to commute
2.81
2.2.8 Uncertainty Principle
Ground state energy of a linear oscillator
2.82
Uncertainty for energy and momentum
2.83
Uncertainty for position and momentum
2.84
KE of electron in H-atom
2.85
Two uncertainty principles, KE of neutron in nucleus.
2.86
Chapter 3 Quantum Mechanics 2
3.2.1 Wave Function
Infinitely deep potential well-photon energy
3.1
Variance of Gaussian function
3.2
Normalization constant
3.3
Flux of particles
3.4
Klein–Gordon equation-probability density
3.5
Normalized wave functions for square well
3.6
Thomas-Reich-Kuhn sum rule
3.7
Laporte rule
3.8
Eigen values of a hermitian operator
3.9
Rectangular distribution of ψ, Normalization constant, Constant
probability,, σ
2 , momentum probability distribution
3.10, 11
Probability for exponential ψ
3.12
3.2.2 Schrodinger Equation
Solution of radial equation for n = 2
3 . 1 3
Ehrenfest’s theorem
3.14
Separation of equation into r, θ and ø parts
3.15
Derivation of quantum number m
3.16
Derivation of quantum number l
3.17
3.2.3 Potential Wells and Barriers
Particle trapped in potential well of infinite depth. Wave functions
and Eigen values
3.18, 48
V 0 R
2
= constant for deuteron
3.19
Expectation value of potential energy of deuteron
3.20
Average distance of separation and interaction of n and P in
deuteron
3.21
V 0 for deuteron
3.22, 29
Root mean square separation of n & p in deuteron
3.23
Photon wavelength for transition of electron trapped in a potential
well
3.24
609
(a) σ y is real (b) Eigen value and Eigen vectors (c) projector
operators
2.79
(i) σ
2
x = 1 (ii) [σ x , σ y ] = 2iσ z
2.80
Condition for two operators to commute
2.81
2.2.8 Uncertainty Principle
Ground state energy of a linear oscillator
2.82
Uncertainty for energy and momentum
2.83
Uncertainty for position and momentum
2.84
KE of electron in H-atom
2.85
Two uncertainty principles, KE of neutron in nucleus.
2.86
Chapter 3 Quantum Mechanics 2
3.2.1 Wave Function
Infinitely deep potential well-photon energy
3.1
Variance of Gaussian function
3.2
Normalization constant
3.3
Flux of particles
3.4
Klein–Gordon equation-probability density
3.5
Normalized wave functions for square well
3.6
Thomas-Reich-Kuhn sum rule
3.7
Laporte rule
3.8
Eigen values of a hermitian operator
3.9
Rectangular distribution of ψ, Normalization constant, Constant
probability,
2 , momentum probability distribution
3.10, 11
Probability for exponential ψ
3.12
3.2.2 Schrodinger Equation
Solution of radial equation for n = 2
3 . 1 3
Ehrenfest’s theorem
3.14
Separation of equation into r, θ and ø parts
3.15
Derivation of quantum number m
3.16
Derivation of quantum number l
3.17
3.2.3 Potential Wells and Barriers
Particle trapped in potential well of infinite depth. Wave functions
and Eigen values
3.18, 48
V 0 R
2
= constant for deuteron
3.19
Expectation value of potential energy of deuteron
3.20
Average distance of separation and interaction of n and P in
deuteron
3.21
V 0 for deuteron
3.22, 29
Root mean square separation of n & p in deuteron
3.23
Photon wavelength for transition of electron trapped in a potential
well
3.24