Tuesday, September 17, 2013

Leonard Susskind: The Theoretical Minimum - What You Need to Know to Start Doing Physics

Leonard Susskind
"Canonical momentum equals derivative of the Lagrangian with respect to velocity"
"Configuration space plus momentum space equals phase space"
"Energy equals Hamiltonian"
"For every action there is an equal and opposite reaction"
"Force pushes you down the hill"
"If a system is time-translation invariant, then the quantity is conserved"
"Nothing in the laws of physics changes if everything is simultaneously shifted in space"
2N items of information
2N positions
3N coordinates
A contour map
Abstract dynamical system
Acceleration of a circular orbit
Acceleration vector
Accidental conserved quantities
Action
Action principle
Active
Air pressure
Altitude
Ambiguous constant
Angle
Angular frequency
Angular momentum
Angular velocity
Antisymmetry
Approximation
Arbitrary constant
Aristotelian mechanics
Aristotle
Atomic / nuclear energy
Auxiliary field
Auxiliary gauge field
Base
Basis vectors
Battery
Binomial theorem
Calculus of variations
Canonical momenta
Canonical momentum
Capacitor
Cartesian coordinate system
Cartesian coordinates
Central force
Central force field
Centrifugal force
Chain rule
Chaos
Chemical
Chemical energy
Circle
Clairvoyant
Classical mechanics
Classical physics
Closed system
Compensated for
Component form
Components of force
Concentric circles
Condensed dot notation
Condensed form
Configuration space
Conjugate momenta
Conjugate momentum
Conservation law
Conservation of energy
Conservation of momentum
Constant
Constant direction
Constant force
Constant speed
Continuous (transformation)
Continuously
Contour lines
Contour map
Convergence
Coordinates
Coriolis force (velocity-dependent force)
Cosine
Cross product
Curl (vector field)
Cycle
Cyclic
Decompressible
Definite integrals
Degrees of freedom
Delta
Derivative
Derivatives of potential energy
Deterministic
Diagonal
Differential calculus
Differential equations
Differentiation formulas
Dipole
Direct multiplication
Displacement
Divergence
Dot notation
Dot product
Double pendulum
Double-dot notation
Drag force
Dynamical laws
Dynamical laws of motion
Dynamical system
Einstein's general theory of relativity
Einstein's theory of gravity
Electro static energy
Emmy Noether
Energy conservation
Equilibrium points
Equilibrium position
Euler-Lagrange equations
Explicit form
Fictitious centrifugal force
Field
Field theory
Finite transformations
First order variation
First-order differential equation
Foci
Force
Force vector
Formalism
Friction
Function of a function
Function of position
Function of space and time
Function of velocity
Functional
Fundamental forces
Gauge field
Gauge invariance
Gauge invariant
Gauge transformation (Magnetic field)
Gauge-invariant Lorentz magnetic force
General coordinate system
Generalized momentum conjugate
Generator
Generator (of rotations)
Global minimum
Gradient (temperature)
Gradients (Derivatives)
Gravitational field
H.A.Lorentz
Hamilton's equations
Hamiltonian
Hamiltonian formulation
Harmonic oscillator
Harmonic oscillator with Lagrangian
Heat
Hessian matrix
Hypotenuse
Identity
Implicit function
In a logical circle
Incompressible
Indefinite integral
Independent Variable
Indices
Infinite series
Infinitesimal transformations
Integral calculus
Integrand
Integration by parts
Intermediate function
Interval
Intrinsic properties of a particle
Invariant
Johannes Kepler
Joseph Liouville
Josiah Willard Gibbs
Kepler's three laws
Kinetic
Known function
Kronecker delta
Kronecker symbol
Lagrangian
Lagrangian formulation
Lagrangian formulation of mechanics
Laplace
Law of inertia
Law of motion
Levi-Civita symbol
Limit
Limit properties
Limits of integration
Linear combination
Linearity
Liouville's theorem
Local maximum
Local minima
Local minimum
Local temperature
Locally horizontal
Logarithm
Lorentz force (velocity-dependent force)
Lumping
Magnetic energy
Magnetic force on charged particle
Many-dimensional motion
Mass
Mathematical induction
Matrices
Maxwell's theory of electrodynamics
Maxwell-Faraday theory of electromagnetic fields
Mechanical energy (gravitational potential energy)
Mechanical momentum
Meteorology
Minimizing a function
Minimizing the action
Mixed derivative
Mixed partial derivatives
Momenta
Momentary location
Momentum
Momentum conjugate
Multivariable differential calculus
N-dimensional space
Naive kinetic energy
Neighboring instants
Newton's equations for the motion of particles
Newton's first law
Newton's third law of motion
Newton-Lorentz equations for motion
Nonconservative forces
Notion
Nuclear
Numerical coefficients
Open system
Orbit
Ordinary (linear) momentum
Origin
Origin of force
Orthogonal(Perpendicular)
Oscillating particle
Oscillatory motion
Partial derivatives
Particles
Passive (Change of coordinate, transformation)
Period of motion
Perpendicular axes
Perturbing influences
Phase space
Phase space fluid
Phi
Pierre-Simon Laplace
Plane
Point of inflection
Point particle
Poisson
Poisson bracket
Polar coordinates
Position space
Position vectors
Postulating
Potential
Potential energy principle
Precess
Prescient
Principle of least action
Product rule
Pythagorean theorem
Quadrilateral
Qualification
Quantum mechanics
Quantum mechanics
Radian
Radiation energy
Reaction
Reciprocal
Reference frame
Reversible
Right triangle
Rotation symmetry
Rotational symmetry
Rotor
Saddle points
Scalar
Scalar field
Second derivative
Second time-derivative
Second-derivative test
Second-order partial derivative
Sigma
Simple harmonic motion
Simultaneous translation
Sine
Single degree of freedom
Space of state
Spatial component of momentum
Spatial coordinates
Spring balance
Spring constant K
Standard shorthand
State-space
Stationary (flow)
Stationary points (minima, maxima)
Stationary-action solution
Stroboscopic
Sub intervals
Succinct mathematical criterion
Sum rule
Summa
Symmetries
Symmetry
Sysmtem of particles
System
System of abstract coordinates
THe commutator
Tangent
Terrain
The Harmonic oscillator
The consequences of symmetry
The determinant
The first law of thermodynamics
The fundamental theorem of calculus
The lawws of quantum mechanics
The minus-first law
The ordered triple of numbers
The principle of stationary action
The quantum origins of classical physics
The standard model of elementary particles
The state of motion
The trace
Theta
Three spatial coordinate
Time derivative
Time translation
Time translation invariance
Time-dependent field
Time-translation invariance
Time-translation symmetry
Trajectory
Transform (the equation)
Transformation of translation and rotation
Translation symmetry
Trigonometric identities
Trigonometry
Tycho brahe
Unbounded hyperbolic orbits
Uniform circular motion
Uniform magnetic field
Unit length
Unit vectors
Unitarity
Unite time
Variation of the Lagrangian
Vector notation
Vector potential (field)
Vector quantity
Vectors
Velocity components
Velocity field
Velocity vector
Velocity-dependent forces
Viscous drag coefficient
Waves
Zeroth law of thermodynamics

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