Tools for SU(n) 1.0 
Date Added: July 21, 2013  Visits: 187 


__________________________MATLAB filesdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcThese powerful functions study irreps of SU(n>1)... ddeD? suf.m  given an irrep, finds all weights and their individual dimensions ddeD? suw.m  using Weyl dimension formula, finds total dimension of all weights corresponding to an irrepThese very similar functions study specific SU(n) groups with the help of the above two functions... ddeD? su2.m  plots all weights of an SU(2) irrep ddeD? su3.m  plots all weights of an SU(3) irrep ddeD? su4.m  plots all weights of an SU(4) irrep ddeD? su5.m  plots all weights of an SU(5) irrep ddeD? su6.m  plots a 4dimensional slice of the weights of an SU(6) irrepThese functions study hadrons using all the above functions... ddeD? hadrons.m  creates flavorstate multiplets for hadrons! ddeD? hadr.m  used by hadrons.m to make a figure ddeD? had.m  used by hadrons.m to make an animationThe following function uses suw.m... ddeD? suy.m  finds all irreps within tensor products of SU(n>1) irrepsRun these in MATLAB making sure that the current folder contains these files. Use the help command to display help text (for example, type "help su3"). Octave, a free imitator of MATLAB, works very poorly with some of these functions due to its crappy graphics.__________________________my goaldldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcRepresentations of SU(n) interest me since they apply very much to the type of physics that is simple enough for me to presently understand. SU(2) describes spinx particles where x is any nonnegative halfinteger or integer. SU(3) describes color charge. There are many other physical uses for the SU(n) groups, and I have created general functions that help you study irreducible representations and their weights. I have also written some functions that draw and animate hadron multiplets. I am fascinated by the way that observed hadrons belong to the 4dimensional diagrams (which is a series of 3dimensional diagrams) created by the bizarre and abstract math of special unitary groups.Basically, I intended to write some code that very quickly does all the very long calculations required to study these very interesting groups while giving hadron flavorstates special attention.The big picture of my code is that you will use L to define an irrep. The length of L is r, which means that SU(r+1) is being studied. To find out what I mean by all these symbols and words, see my list of terminology below.I have done my best to make the code readable and expandable! Please conform it to your own needs and/or wants!__________________________terminology and other infodldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcdldcImportant vocab that I use... ddeD? SU(n) ddeOCL Lie group of all special unitary ndoOCon matrices (I usually assume n>1) ddeD? irrep ddeOCL irreducible matrix representation of SU(n) ddeD? weight ddeOCL an "eigenvalue" of the irrep's Cartan subalgebra ddeD? alpha ddeOCL simple roots of the Lie algebra for SU(n) that have been given the geometric interpretation as vectors so that weights can be plotted, where it is true that (1) all positive roots are sums of these, (2) the order of simple roots is chosen to be the standard choice that makes the Cartan matrix have zeros everywhere except the 3 central diagonals, and (3) the default basis used to write these vectors is the standard rectangular basis in n1 dimensional space ddeD? alpha basis ddeOCL I sometimes use alpha1=[1,0,0,...], alpha2=[0,1,0,...], etc. as a basis instead of the default rectangular basis ddeD? Dynkin coefficients of a weight ddeOCL every weight has integer Dynkin coefficients that uniquely label the weight, where these coefficients are the weight vector in a basis obtained by multiplying the inverse Cartan matrix with the column vector of alphas ddeD? highest weight ddeOCL this is the only weight of an irrep that can form all other weights by subtracting alphas (any list of nonnegative Dynkin coefficients is a valid highest weight) ddeD? dimension ddeOCL I sometimes refer to the number of spatial dimensions needed to draw something, and I even sometimes mean the dimension of the SU(n) manifold, but I usually am referring to the dimension of a weight space (i.e. the multiplicity of a weight) or the total dimension of the direct sum of all weight spaces (note that the total dimension of an ndoOCon irrep is ndimensional)Some variables I will use consistently... ddeD? r = rank = number of alphas of a group = the number of Dynkin coefficients per weight = the number of spatial dimensions a plot of weights will require = rank of SU(r+1) ddeD? L = Lambda = Dynkin coefficients of highest weight as a row vectorddeOCLddeOCLddeOCLddeOCLddeOCLddeOCLSee readme.htm for the rest of the description!ddeOCLddeOCLddeOCLddeOCLddeOCLddeOCL

License: Shareware  Size: 20.48 KB 
Home & Leisure

Aquarium Pocket Knife 1.0.0.9
Aquarium Pocket Knife helps design aquariums by calculating the important values. It will calculate system weight, system weight per area, and tank weight. 
419 KB  
Development Tools

MBoxtest 1.0
From a total multivariate data matrix and a significance level, the homogeneity covariance matrices are testing by the Box's M, given a Chisquare or F approximation in function of the group samplesize. 
10 KB  
Development Tools

Melody obtained from white noise 1.0
The white noise is a combination of all frecuencies.The program generate white noise using randn and create a group of filters for the musical notes.The melody is introduced in a matrix 
10 KB  
Development Tools

DICOM debug utility 1.0
DICOM is a rather complicated format. The DICOMINFO and DICOMREAD functions provide easy access to the data in DICOMformatted files, but it can be difficult to know why and where the DICOM parser fails for improperly formatted files.This file... 
10 KB  
Business

Priority Matrix  MultiPlatform 4Quadrants Task Management 1.3.2
Plan differently. Priority Matrix makes it insanely simple for you to plan your day, work & life  in a meaningful and constructive way. Your tasks are divided into 4 customizable quadrants: 1) Critical & Immediate  DO NOW! 2)... 
4 MB  
Home & Leisure

Essential Data Tracker 7.6
Program contains 12 essential data collection functions in an easy to use program. Included function are Address Book with Viewer, Calendar Maker with import from Daily Planner, Daily Planner function, Home Budget developer, Home and Important... 
10.53 MB  
Gaming Utilities

RPG Patsy 4.5.5
RPG Patsy is a direct replacement for your pencil and paper D&D character sheet and can also be used as a character generator.Features:Dice rollers:Specific use rollers for skill checks, damage rolls, saving throws, initiative checks, caster... 

Gaming Utilities

RPG Patsy SW 2.5
RPG Patsy SW can be used as a direct replacement for your pencil and paper SW RPG character sheet or as a character generation tool. It includes the following features. Automatic calculation of: Defense Attribute Bonuses. All bonuses are... 

Games

RPG Patsy DD5E .0 3
About RPG Patsy DD35E Dice rollers: Specific use rollers for skill checks, damage rolls, saving throws, initiative checks, caster level checks, and attribute checks.  General purpose dice rollers for other simple die rolls  Highly flexible... 
2.1 MB  
Development Tools

Within and Between Class Scatter Matrix 1.0
This Function calculates two important matrices, the Within (W) and Between (B) scatter matrixCOMMENTS CORRECTED IN FUNCTIONFunction takes as input a matrix and calculates two important matrices, the Within (W) and Between (B) Class Scatter... 
10 KB 
Scripts

Freelancer Script 5.05
Main Features: 100% Secured. Email Support (3 Years). FREE Updates (3 Years). Post projects. Featured projects. Private projects. Sealed projects. Edit/delete projects. Select freelancers.... 
5.49 MB  
Scripts

B2B Script 4.20
Main Features: 100% Secured. Email Support (3 Years). FREE Updates (3 Years). Signup Account (Registration of account). Lead generation tools (for the sellers). Email verification to... 
5.49 MB  
Scripts

B2C Script 5.06
Main Features: 100% Secured. Email Support (3 Years). FREE Updates (3 Years). The script comes with totally editable site colors, icons and graphics Multilevel categories allows extensive browsing Admin can change Category ordering or... 
5.49 MB  
Scripts

Social Networking Script 2.86
Main Features: 100% Secured. Email Support (3 Years). FREE Updates (3 Years). Registration with name, email, password, date of birth etc. User can add multiple school, college, university with start... 
5.49 MB  
Scripts

Business Networking Script 8.04
Main Features: 100% Secured. Email Support (3 Years). FREE Updates (3 Years). Ajax based interface. Profile creation. Different types of profile. Profile for jobseekers, employers and employed... 
5.49 MB  
Development Tools

VMP Viewer 1.0
This is a very rudimentary tool to visualize the VMP files generated by BrainVoyager. Useful to share files with people who do not have BV. 
10 KB  
Development Tools

Sending reports and timestamped file by emailing 1.0
main executing reference usage:[1] usage_send_mail.mIllustrates email sending with multiple separate files or single timestamped tar file. Attachment failure is properly handled, with continuation of report emailing without the attachment.[2]... 
768 KB  
Development Tools

IrisMVC 2.0 rc1
IrisMVC is an OOP PHP framework that developers can use as a strong and secure foundation to build on various web applications following the ModelViewController (MVC) pattern. It provides the basic functionality developers need, without... 
51.2 KB  
Development Tools

7Zip for Script 4.42
7Zip is a file archiver with a high compression ratio.Features: High compression ratio in new 7z format with LZMA compression Supported formats: Packing / unpacking: 7z, ZIP, GZIP, BZIP2 and TAR Unpacking only: RAR, CAB, ISO, ARJ, LZH, CHM,... 
624.64 KB  
Development Tools

Barnardextest 1.0
This file, as the Fisher's exact test, performs the exact probability test for a table of frequency data crossclassified according to two categorical variables, each of which has two levels or subcategories (2x2). It is a nonparametric... 
10 KB 