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Topic: Hamiltonian Functions
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Quantum Mechanics and Everyday Life
Book Chapter
Quantum Mechanics and Everyday Life
(pp. 124-143)
From:
After Physics
David Z Albert
Harvard University Press
(2015)
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Topics:
Quantum mechanics
,
Chairs
,
Wave functions
,
Baseball
,
Space mechanics
,
Hamiltonian functions
,
Charge density
,
Wave mechanics
,
Particle physics
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A HYBRID PHASE FLOW METHOD FOR SOLVING THE LIOUVILLE EQUATION IN A BOUNDED DOMAIN
Journal Article
A HYBRID PHASE FLOW METHOD FOR SOLVING THE LIOUVILLE EQUATION IN A BOUNDED DOMAIN
HAO WU
,
XU YANG
SIAM Journal on Numerical Analysis
, Vol. 49, No. 1/2 (2011), pp. 733-754
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Topics:
Liouville equations
,
Boundary conditions
,
Interpolation
,
Particle trajectories
,
Mathematical manifolds
,
Hamiltonian functions
,
High frequencies
,
Ratios
,
Flow velocity
,
Error rates
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ENERGY- AND QUADRATIC INVARIANTS-PRESERVING INTEGRATORS BASED UPON GAUSS COLLOCATION FORMULAE
Journal Article
ENERGY- AND QUADRATIC INVARIANTS-PRESERVING INTEGRATORS BASED UPON GAUSS COLLOCATION FORMULAE
LUIGI BRUGNANO
,
FELICE IAVERNARO
,
DONATO TRIGIANTE
SIAM Journal on Numerical Analysis
, Vol. 50, No. 6 (2012), pp. 2897-2916
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Topics:
Energy conservation
,
Hamiltonian functions
,
Textual collocation
,
Polynomials
,
Energy value
,
Runge Kutta method
,
State vectors
,
Implicit functions
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On reflection symmetry and its application to the Euler—Lagrange equations in fractional mechanics
Journal Article
On reflection symmetry and its application to the Euler—Lagrange equations in fractional mechanics
Malgorzata Klimek
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
, Vol. 371, No. 1990, Fractional calculus and its applications (13 May 2013), pp. 1-15
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Topics:
Euler Lagrange equation
,
Lagrangian function
,
Differential equations
,
Hamiltonian functions
,
Mathematical intervals
,
Region of integration
,
Mathematical integrals
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Symplectic Reduction and the Problem of Time in Nonrelativistic Mechanics
Journal Article
Symplectic Reduction and the Problem of Time in Nonrelativistic Mechanics
Karim P. Y. Thébault
The British Journal for the Philosophy of Science
, Vol. 63, No. 4 (DECEMBER 2012), pp. 789-824
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Topics:
Gauge theory
,
Classical mechanics
,
Substantivalism
,
Observable phenomena
,
Vector fields
,
Hamiltonian functions
,
Symmetry
,
General relativity
,
Parameterization
,
Geometry
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When We Do (and Do Not) Have a Classical Arrow of Time
Journal Article
When We Do (and Do Not) Have a Classical Arrow of Time
Bryan W. Roberts
Philosophy of Science
, Vol. 80, No. 5 (December 2013), pp. 1112-1124
FREE
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Topics:
Velocity
,
Laws of Motion
,
Momentum
,
Newtonianism
,
Row transformations
,
Curves
,
Hamiltonian functions
,
Vector fields
,
Mathematical functions
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Decoherence and the conditions for the classical control of quantum systems
Journal Article
Decoherence and the conditions for the classical control of quantum systems
G. J. Milburn
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
, Vol. 370, No. 1975, Decoherence (28 September 2012), pp. 4469-4486
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Topics:
Quantum decoherence
,
Resonators
,
Classical mechanics
,
Stochastic processes
,
Control systems
,
Hamiltonian functions
,
Quantum field theory
,
Particle collisions
,
Control variables
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What Scientific Theories Could Not Be*
Journal Article
What Scientific Theories Could Not Be*
Hans Halvorson
Philosophy of Science
, Vol. 79, No. 2 (April 2012), pp. 183-206
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Topics:
Syntactic theory
,
Semantic models
,
Syntactic models
,
First order theories
,
Syntactics
,
Mathematical objects
,
Hamiltonian functions
,
String theory
,
Philosophy of science
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Emergence of unsteady dark solitary waves from coalescing spatially periodic patterns
Journal Article
Emergence of unsteady dark solitary waves from coalescing spatially periodic patterns
Thomas J. Bridges
Proceedings: Mathematical, Physical and Engineering Sciences
, Vol. 468, No. 2148 (8 December 2012), pp. 3784-3803
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Topics:
Solitons
,
Signatures
,
Defocusing
,
Coefficients
,
Periodic orbits
,
Linearization
,
Hamiltonian functions
,
Coordinate systems
,
Solvability
,
Eigenvalues
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Bi-Invariant Metrics on the Group of Symplectomorphisms
Journal Article
Bi-Invariant Metrics on the Group of Symplectomorphisms
Zhigang Han
Transactions of the American Mathematical Society
, Vol. 361, No. 6 (Jun., 2009), pp. 3343-3357
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Topics:
Hamiltonian functions
,
Mathematical surfaces
,
Lie groups
,
Distance functions
,
Commutators
,
Maps
,
Topology
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The "Structure" of Physics: A Case Study
Journal Article
The "Structure" of Physics: A Case Study
Jill North
The Journal of Philosophy
, Vol. 106, No. 2 (Feb., 2009), pp. 57-88
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Topics:
Coordinate systems
,
Lagrangian function
,
Spacetime
,
Mathematical vectors
,
Hamiltonian functions
,
Mathematical objects
,
Physical theory
,
Geometric planes
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Nearly-Integrable Perturbations of the Lagrange Top: Applications of KAM-Theory
Journal Article
Nearly-Integrable Perturbations of the Lagrange Top: Applications of KAM-Theory
H. W. Broer
,
H. Hanßmann
,
J. Hoo
,
V. Naudot
Lecture Notes-Monograph Series
, Vol. 48, Dynamics & Stochastics (2006), pp. 286-303
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Topics:
Lagrangian function
,
Cantor set
,
Diophantine sets
,
Eigenvalues
,
Oscillators
,
Hamiltonian functions
,
Matrices
,
Vector fields
,
Topological compactness
,
Axes of rotation
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Chance in Boltzmannian Statistical Mechanics
Journal Article
Chance in Boltzmannian Statistical Mechanics
Roman Frigg
Philosophy of Science
, Vol. 75, No. 5, Proceedings of the 2006 Biennial Meeting of the Philosophy of Science Association
Part II: Symposia Papers
Edited by Cristina Bicchieri and Jason Alexander (December 2008), pp. 670-681
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Topics:
Entropy
,
Mosaic
,
Probabilities
,
Humean philosophy
,
Thermodynamic equilibrium
,
Hamiltonian functions
,
Randomness
,
Statistical mechanics
,
Law
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LENSES, TELESCOPES, AND HAMILTONIAN MECHANICS
Book Chapter
LENSES, TELESCOPES, AND HAMILTONIAN MECHANICS
(pp. 120-132)
From:
The Mathematical Mechanic: Using Physical Reasoning to Solve Problems
MARK LEVI
Princeton University Press
(2009)
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Topics:
Telescopes
,
Potential energy
,
Mechanical systems
,
Generating function
,
Optical lenses
,
Classical mechanics
,
Hamiltonian functions
,
Uncertainty principle
,
Geometric planes
,
Geometric shapes
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Piecewise Linear Approach to an Archetypal Oscillator for Smooth and Discontinuous Dynamics
Journal Article
Piecewise Linear Approach to an Archetypal Oscillator for Smooth and Discontinuous Dynamics
Qingjie Cao
,
Marian Wiercigroch
,
Ekaterina E. Pavlovskaia
,
J. Michael T. Thompson
,
Celso Grebogi
Philosophical Transactions: Mathematical, Physical and Engineering Sciences
, Vol. 366, No. 1865, Experimental Chaos II (Feb. 28, 2008), pp. 635-652
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Topics:
Oscillators
,
Linearization
,
Sine function
,
Chaos theory
,
Linear systems
,
Hamiltonian functions
,
Mathematical discontinuity
,
Linear approximation
,
Function discontinuity
,
Phase portrait
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Quantum Cohomology and
$S^{1}-Actions$
with Isolated Fixed Points
Journal Article
Quantum Cohomology and
$S^{1}-Actions$
with Isolated Fixed Points
Eduardo Gonzalez
Transactions of the American Mathematical Society
, Vol. 358, No. 7 (Jul., 2006), pp. 2927-2948
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Topics:
Automorphisms
,
Mathematical manifolds
,
Mathematical rings
,
Hamiltonian functions
,
Integers
,
Coordinate systems
,
Topology
,
Polynomials
,
Morse theory
,
Critical points
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Convergence versus Integrability in Birkhoff Normal Form
Journal Article
Convergence versus Integrability in Birkhoff Normal Form
Nguyen Tien Zung
Annals of Mathematics
, Second Series, Vol. 161, No. 1 (Jan., 2005), pp. 141-156
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Topics:
Vector fields
,
Coordinate systems
,
Analytic functions
,
Hamiltonian functions
,
Quadratic functions
,
Coordinate transformations
,
Differential variability inequalities
,
Degrees of freedom
,
Degrees of polynomials
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Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems
Book Chapter
Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems
(pp. 221-248)
From:
Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control
Wassim M. Haddad
,
VijaySekhar Chellaboina
,
Sergey G. Nersesov
Princeton University Press
(2006)
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Topics:
Feedback control
,
Energy dissipation
,
Sufficient conditions
,
Dynamical systems
,
Hamiltonian functions
,
Partial differential equations
,
Hybrid systems
,
Liapunov functions
,
Kinetic energy
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On a Certain Class of Linear Hamiltonian Maps
Journal Article
On a Certain Class of Linear Hamiltonian Maps
Nobukazu Otsuki
,
Sintaro Suzuki
Proceedings of the American Mathematical Society
, Vol. 134, No. 12 (Dec., 2006), pp. 3637-3644
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Topics:
Hamiltonian functions
,
Generating function
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On Littlewood's Boundedness Problem for Sublinear Duffing Equations
Journal Article
On Littlewood's Boundedness Problem for Sublinear Duffing Equations
Bin Liu
Transactions of the American Mathematical Society
, Vol. 353, No. 4 (Apr., 2001), pp. 1567-1585
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Topics:
Mathematical theorems
,
Hamiltonian functions
,
Duffing equation
,
Mathematical constants
,
Closed curves
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Nonadiabatic Corrections to the Hannay-Berry Phase
Journal Article
Nonadiabatic Corrections to the Hannay-Berry Phase
Sean B. Andersson
SIAM Journal on Applied Mathematics
, Vol. 66, No. 1 (Oct. - Nov., 2005), pp. 98-121
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Topics:
Sine function
,
Vector fields
,
Coordinate systems
,
Systems approach
,
Correctional system
,
Center of mass
,
Pendulums
,
Earth rotation
,
Tangent vectors
,
Hamiltonian functions
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Semifree Symplectic Circle Actions on 4-Orbifolds
Journal Article
Semifree Symplectic Circle Actions on 4-Orbifolds
L. Godinho
Transactions of the American Mathematical Society
, Vol. 358, No. 11 (Nov. 1, 2006), pp. 4919-4933
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Topics:
Group structure
,
Integers
,
Isotropy
,
Quotients
,
Mathematical manifolds
,
Integer order
,
Product standards
,
Hamiltonian functions
,
Acting
,
Logical givens
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David Lewis Meets Hamilton and Jacobi
Journal Article
David Lewis Meets Hamilton and Jacobi
Jeremy Butterfield
Philosophy of Science
, Vol. 71, No. 5, Proceedings of the 2002 Biennial Meeting of The Philosophy of Science Association
Part II: Symposia Papers
Edited by Sandra D. Mitchell (December 2004), pp. 1095-1106
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Topics:
Lagrangian function
,
Contrafactuals
,
Hamiltonian functions
,
Mathematical congruence
,
Laws of Motion
,
Hypersurfaces
,
Eigenfunctions
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The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section
Journal Article
The Spatial Complexity of Localized Buckling in Rods with Noncircular Cross Section
G. H. M. van der Heijden
,
A. R. Champneys
,
J. M. T. Thompson
SIAM Journal on Applied Mathematics
, Vol. 59, No. 1 (Sep. - Oct., 1998), pp. 198-221
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Topics:
Buckling
,
Eigenvalues
,
Boundary conditions
,
Anisotropy
,
Coordinate systems
,
Dynamical systems
,
Infinity
,
Bending
,
Integers
,
Hamiltonian functions
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On a General Kinetic Equation for Many-Particle Systems with Interaction, Fragmentation and Coagulation
Journal Article
On a General Kinetic Equation for Many-Particle Systems with Interaction, Fragmentation and Coagulation
V. P. Belavkin
,
V. N. Kolokol'tsov
Proceedings: Mathematical, Physical and Engineering Sciences
, Vol. 459, No. 2031 (Mar. 8, 2003), pp. 727-748
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Topics:
Kinetic equations
,
Coagulation
,
Mathematical functions
,
Particle interactions
,
Markov processes
,
Semigroups
,
Particle mass
,
Density
,
Random numbers
,
Hamiltonian functions
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