Search

Text Color

Margin Size

Font Type

Enable Dyslexic Font

Index

Last updated

Sep 24, 2020
Save as PDF
- Back Matter
- Glossary

$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$

$\newcommand{\id}{\mathrm{id}}$ $\newcommand{\Span}{\mathrm{span}}$

( \newcommand{\kernel}{\mathrm{null}\,}\) $\newcommand{\range}{\mathrm{range}\,}$

$\newcommand{\RealPart}{\mathrm{Re}}$ $\newcommand{\ImaginaryPart}{\mathrm{Im}}$

$\newcommand{\Argument}{\mathrm{Arg}}$ $\newcommand{\norm}[1]{\| #1 \|}$

$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$\newcommand{\Span}{\mathrm{span}}$

$\newcommand{\id}{\mathrm{id}}$

$\newcommand{\Span}{\mathrm{span}}$

$\newcommand{\kernel}{\mathrm{null}\,}$

$\newcommand{\range}{\mathrm{range}\,}$

$\newcommand{\RealPart}{\mathrm{Re}}$

$\newcommand{\ImaginaryPart}{\mathrm{Im}}$

$\newcommand{\Argument}{\mathrm{Arg}}$

$\newcommand{\norm}[1]{\| #1 \|}$

$\newcommand{\inner}[2]{\langle #1, #2 \rangle}$

$\newcommand{\Span}{\mathrm{span}}$ $\newcommand{\AA}{\unicode[.8,0]{x212B}}$

$\newcommand{\vectorA}[1]{\vec{#1}} % arrow$

$\newcommand{\vectorAt}[1]{\vec{\text{#1}}} % arrow$

$\newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vectorC}[1]{\textbf{#1}}$

$\newcommand{\vectorD}[1]{\overrightarrow{#1}}$

$\newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}}$

$\newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}}$

$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$

$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$

$\newcommand{\avec}{\mathbf a}$

$\newcommand{\bvec}{\mathbf b}$

$\newcommand{\cvec}{\mathbf c}$

$\newcommand{\dvec}{\mathbf d}$

$\newcommand{\dtil}{\widetilde{\mathbf d}}$

$\newcommand{\evec}{\mathbf e}$

$\newcommand{\fvec}{\mathbf f}$

$\newcommand{\nvec}{\mathbf n}$

$\newcommand{\pvec}{\mathbf p}$

$\newcommand{\qvec}{\mathbf q}$

$\newcommand{\svec}{\mathbf s}$

$\newcommand{\tvec}{\mathbf t}$

$\newcommand{\uvec}{\mathbf u}$

$\newcommand{\vvec}{\mathbf v}$

$\newcommand{\wvec}{\mathbf w}$

$\newcommand{\xvec}{\mathbf x}$

$\newcommand{\yvec}{\mathbf y}$

$\newcommand{\zvec}{\mathbf z}$

$\newcommand{\rvec}{\mathbf r}$

$\newcommand{\mvec}{\mathbf m}$

$\newcommand{\zerovec}{\mathbf 0}$

$\newcommand{\onevec}{\mathbf 1}$

$\newcommand{\real}{\mathbb R}$

$\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}$

$\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}$

$\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}$

$\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}$

$\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}$

$\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}$

$\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}$

$\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}$

$\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}$

$\newcommand{\laspan}[1]{\text{Span}\{#1\}}$

$\newcommand{\bcal}{\cal B}$

$\newcommand{\ccal}{\cal C}$

$\newcommand{\scal}{\cal S}$

$\newcommand{\wcal}{\cal W}$

$\newcommand{\ecal}{\cal E}$

$\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}$

$\newcommand{\gray}[1]{\color{gray}{#1}}$

$\newcommand{\lgray}[1]{\color{lightgray}{#1}}$

$\newcommand{\rank}{\operatorname{rank}}$

$\newcommand{\row}{\text{Row}}$

$\newcommand{\col}{\text{Col}}$

$\renewcommand{\row}{\text{Row}}$

$\newcommand{\nul}{\text{Nul}}$

$\newcommand{\var}{\text{Var}}$

$\newcommand{\corr}{\text{corr}}$

$\newcommand{\len}[1]{\left|#1\right|}$

$\newcommand{\bbar}{\overline{\bvec}}$

$\newcommand{\bhat}{\widehat{\bvec}}$

$\newcommand{\bperp}{\bvec^\perp}$

$\newcommand{\xhat}{\widehat{\xvec}}$

$\newcommand{\vhat}{\widehat{\vvec}}$

$\newcommand{\uhat}{\widehat{\uvec}}$

$\newcommand{\what}{\widehat{\wvec}}$

$\newcommand{\Sighat}{\widehat{\Sigma}}$

$\newcommand{\lt}{<}$

$\newcommand{\gt}{>}$

$\newcommand{\amp}{&}$

$\definecolor{fillinmathshade}{gray}{0.9}$

A • B • C • D • E • F • G • H • I • J • L • M • N • P • R • S • V

A

abbreviated action

9.3: The Abbreviated Action

acoustic phonons

19.9: A Note on the Physics of These Waves

adiabatic invariant

13.1: Adiabatic Invariants

anharmonic oscillator

22.2: Frequency of Oscillation of a Particle is a Slightly Anharmonic Potential

asymmetrical top

28.4: The Asymmetrical Top

attractors

23.2: The Road to Chaos

B

brachistochrone

2.12: The Brachistochrone

C

canonical transformations

10.2: General and Canonical Transformations

canonically conjugate

10.5: Poisson Brackets under Canonical Transformations

Centrifugal force

29.2: Uniformly Rotating Frame

circulants

19.2: The Circulant Matrix- Nature of its Eigenstates

commutators

8.6: Hamilton’s Equations from Action Minimization

conic sections

14.1: Preliminaries- Conic Sections

Contact Transformations

10.2: General and Canonical Transformations

Coriolis Force

29.2: Uniformly Rotating Frame

cyclic variables

12.3: Separation of Variables for a Central Potential; Cyclic Variables

D

d’Alembert’s principle

30.3: D’Alembert’s Principle

differential cross section

16.3: The Differential Cross Section

discrete Fourier transform

19.8: The Discrete Fourier Transform

E

eccentricity

14.2: The Ellipse

ellipse

14.2: The Ellipse

Euler angles

27: Euler Angles

Euler’s equations

28: Euler’s Equations
28.1: Introduction to Euler’s Equations
28.2: Free Rotation of a Symmetric Top Using Euler’s Equations

F

Fermat’s Principle of Least Action

3.3: Fermat’s Principle

G

gyrocompass

29.4: Gyroscopes and Gyrocompasses in Navigation

Gyroscope

29.4: Gyroscopes and Gyrocompasses in Navigation

H

Hamilton’s equations

6.8: Hamilton’s Equations

Hamiltonian (classical)

4.10: Conservation Laws and Noether’s Theorem

Huygen's principle

3.2: Huygens' Picture of Wave Propagation

I

impact parameter

16.3: The Differential Cross Section

inertia tensor

24.4: The Inertia Tensor
24.8: Principal Axes Form of Moment of Inertia Tensor

invariant under rotation

4.10: Conservation Laws and Noether’s Theorem

invariant under time translation

4.10: Conservation Laws and Noether’s Theorem

J

Jacobi identity

7.3: The Jacobi Identity

Jacobians

11.6: Jacobians 101

L

Lagrange multiplier

2.11: Lagrange Multiplier for the Chain

Lagrange multipliers

2.10: Lagrange Multipliers

Legendre transform

6.5: Math Note - the Legendre Transform

line of nodes

27.1: Definition of Euler Angles

M

mass matrix

9.3: The Abbreviated Action

N

Noether's theorem

4.10: Conservation Laws and Noether’s Theorem

Nutation

27.4: Motion of Symmetrical Top around a Fixed Base with Gravity - Nutation

P

parabola

14.3: The Parabola

periodic boundary conditions

19.1: The Model

phase space

6.2: Phase Space

Poisson Brackets

7.1: The Poisson Bracket

Poisson spot

3.2: Huygens' Picture of Wave Propagation

Poisson’s theorem

7.4: Poisson’s Theorem

ponderomotive force

21.1: Introduction to the Ponderomotive Force

Precession

27.5: Steady Precession

R

rigid rotor

24.3: General Motion of a Rotating Rigid Body

rotating frame

29.2: Uniformly Rotating Frame

S

scattering angle

16.2: Discovery of the Nucleus

separation of variables

12.3: Separation of Variables for a Central Potential; Cyclic Variables

symmetric top

27.3: Free Motion of a Symmetrical Top

V

Virial theorem

5.3: The Virial Theorem

A

B

C

D

E

F

G

H

I

J

L

M

N

P

R

S

V

Support Center

How can we help?