ULRICHMUTZE.DE

Homepage of Ulrich Mutze

Welcome to the homepage of Ulrich Mutze. Email: ulrichmutze at gmx dot de. Graphics of the month. Characterizing the set of all positive color-matching functions. Graphics of the month archive. Testpatterns in high resolution (4k by 4k pixel, PNG-format, 477 kB), free download. Latest versions of electronic articles on Computation Inspired Physics, mainly dealing with computational methods for Classical Mechanics and Quantum Mechanics. The originals are all in the preprint archive. The direct midpoint me...

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Homepage of Ulrich Mutze | ulrichmutze.de Reviews

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Welcome to the homepage of Ulrich Mutze. Email: ulrichmutze at gmx dot de. Graphics of the month. Characterizing the set of all positive color-matching functions. Graphics of the month archive. Testpatterns in high resolution (4k by 4k pixel, PNG-format, 477 kB), free download. Latest versions of electronic articles on Computation Inspired Physics, mainly dealing with computational methods for Classical Mechanics and Quantum Mechanics. The originals are all in the preprint archive. The direct midpoint me...

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10 a living essay

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Homepage of Ulrich Mutze | ulrichmutze.de Reviews

https://ulrichmutze.de

Welcome to the homepage of Ulrich Mutze. Email: ulrichmutze at gmx dot de. Graphics of the month. Characterizing the set of all positive color-matching functions. Graphics of the month archive. Testpatterns in high resolution (4k by 4k pixel, PNG-format, 477 kB), free download. Latest versions of electronic articles on Computation Inspired Physics, mainly dealing with computational methods for Classical Mechanics and Quantum Mechanics. The originals are all in the preprint archive. The direct midpoint me...

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ulrichmutze.de

1

Interaction picture for Kepler oscillator

http://www.ulrichmutze.de/interactionpicturemovie1/intact1.html

Deformation of a phase space subset by interaction picture dynamics I. UM 2009-08-03. Direct midpoint method (Störmer-Verlet). The main observation is that the asynchronous leapfrog method. Gives much less deformation as the normal leapfrog method. The system under consideration is the Kepler oscillator.

2

Comparing the collision of two identical fermions with the collision of two identical bosons

http://www.ulrichmutze.de/fb32/fermi_bose_32.html

Comparing the collision of two identical fermions with the collision of two identical bosons both living on a linear lattice of 32 sites, UM 2014-09-05. Left image: Model of colliding fermions. Right image: Model of colliding bosons. What is represented is the complex-valued (color-coded) wave function of two identical particles, which are fermions in the left figure and bosons in the right one.

3

Least Action Principle for the Spinning Top

http://www.ulrichmutze.de/actionmovie/least_action.html

The action of a freely rotating rigid body along parabolic paths as a function of path variations as considered in Hamilton's variational principle. A minimum of the action emerges at a position close to the one predicted by numerical integrators. We consider trajectories in the configuration space of a freely rotating rigid body, the center-of-mass of which is held fixed. A point in this space corresponds to a angular position. And angular velocity ω. During a short span of time Δ t. We have α. Each suc...

4

Homepage of Ulrich Mutze

http://www.ulrichmutze.de/rubystuff.html

Applied Mathematics coded in Ruby. So far, only very limited material is presented, all collected in a Ruby module named AppMath. This is intended as a field of experimentation to find out and define coding conventions and tools which allow algorithms of applied mathematics and physics to be written in a manner that the precision. That is the number of digits allowed for the significand. The easiest way to test the present code system is to download the zip-file all files zipped. Classes R2 and Kep2D dea...

5

Comparing exact and separated quantum dynamics

http://www.ulrichmutze.de/quantumtwinsmovie/view_twins7.html

Comparing exact and separated quantum dynamics for a system of three particles each living on a linear lattice of 16 sites, UM 2008-03-08. Left image: exact dynamics. Right image: separated dynamics. See article article9.

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MPFR C++

http://www.holoborodko.com/pavel/mpfr

Applied mathematics and beyond. Cubature formulas for the unit disk. Stable Newton-Cotes Formulas (Open Type). Noise Robust Gradient Operators. Software using MPFR C. July 24, 2015. Fixes for MSVC and new GCC. April 2, 2015. New version 3.6.2 has been released – lots of improvements & bug fixes. August 24, 2014. Added copysign and signbit functions. July 15, 2014. Improved support for 64-bit integers. June 12, 2014. Fixed improper std: setprecision(0) handling, warnings. June 3, 2014. May 27, 2014. New f...

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Welcome to the homepage of Ulrich Mutze. Email: ulrichmutze at gmx dot de. Graphics of the month. Characterizing the set of all positive color-matching functions. Graphics of the month archive. Testpatterns in high resolution (4k by 4k pixel, PNG-format, 477 kB), free download. Latest versions of electronic articles on Computation Inspired Physics, mainly dealing with computational methods for Classical Mechanics and Quantum Mechanics. The originals are all in the preprint archive. The direct midpoint me...

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