Weston, Robert - Department of Mathematics, Heriot-Watt University

• F1.3YT2/YF3 10 2 Systems of 1st order and higher order ODEs
• Exact and Scaling Form of the Bipartite Fidelity of the Infinite XXZ Chain
• Problem Sheet 13 Module F13YT2/YF3 2006
• An Algebraic Setting for Defects in the XXZ and Sine-Gordon Models
• F1.3YT2 Assessment -March 13th 2008. Attempt all 4 questions
• F1.3YT2/YF3 87 8 Nonlinear Systems
• F1.3YT2/YF3 104 A Revision of Vector Spaces
• Solutions 3 Module F13YT2
• Solutions 5 Module F13YT2
• Question 1 (22 Marks) Find the general solutions of the following differential equations
• 1. Find the general solution of each of the following differential equations . [14 marks]
• Solutions 8 Module F13YT2
• Correlation Functions and the Boundary qKZ Equation in a Fractured XXZ Chain
• F1.3YT2/YF3 i F1.3YT2/YF3 Ordinary Differential Equations 1& 2
• Solutions 2 Module F13YT2
• Prob Sheet 3: Linear systems of ODES 1 Module F13YT2
• Problem Sheet 12 Module F13YT2/YF3 2006
• Problem Sheet 7 Module F13YT2
• F1.3YT2/YF3 57 6 Sturm Liouville Problems
• F13YT2/YU3 1 Sample Exam -3 hours -Attempt all Questions
• 1. Find the general solution of the following differential equations 2. Find all constant solutions of the equation
• Solutions 9 Module F13YT2/YF3 2006
• 11.3YF/3YL2 1 (a) Find the Fourier sine series for the function f(x) = x2
• 1. Find the general solution of the differential equation Draw the direction field for the equation and sketch the graphs of some
• Tracking the effects of interactions in gapless Heisenberg chains Jean-Sebastien Caux1
• F1.3YT2/YF3 37 4 Laplace transforms
• Prob Sheet 1: First Order Ordinary Differential Equations Module F13YT2
• F1.3YT2/YF3 50 5 Boundary Value Problems
• 1. (a) Find the general solution of the linear differential equation (b) For the equation () determine the points in the xy-plane where
• Solutions 7 Module F13YT2
• Question 1 (14 Marks) Find the general solutions of the following first order differential equations.
• 1. Find the solution of the following differential equation satisfying the initial condition x(0) = 3.
• Formulae sheets are at the end of the examination paper 1. a) Find the general solution of the following differential equations
• Question 1 (14 Marks) Find the general solutions of the following differential equations for x > 0
• Solutions 1: First Order Ordinary Differential Equations Module F13YT2
• Quantum integrability in the lab This article has been downloaded from IOPscience. Please scroll down to see the full text article.
• Ordinary Differential Equations 1 & 2 (Modules F1.3YT2 and F1.3YU3)
• F1.3YT2/YF3 67 7 Phase Planes
• F1.3YT2/YF3 106 B Revision of Matrices
• Formulae sheets are at the end of the examination paper 1. a) Find the general solution of the following differential equations
• Solutions to Mathematical Techniques Exam -June 2000 -x2 dx = [ 1
• F1.3YT2 Assessment -Feb 7th 2008. Attempt all 4 questions
• 1. Find the solution of the following differential equation satisfying the initial condition x(0) = 0.
• F1.3YT2/YF3 29 3 Solvable 2nd order ODEs
• Solutions 4 Module F13YT2
• Exact Form-Factor Results for the Longitudinal Structure Factor of the Massless XXZ Model in Zero Field
• 1. Find the Fourier cosine series for the function f(x) = 1 -x valid for Sketch the graph of the function to which the series converges over the range
• 11.3YF2/3YL3 1 (a) Find the Fourier cosine series for the function f(x) = x2
• Solutions to Mathematical Techniques Exam -June 2001 0 (1 -x) dx = x -1
• Solutions 6 Module F13YT2
• 11.3YF/3YL2 1 (a) Find the Fourier sine series for the function f(x) = 1, 0 < x < .
• 1. Find the full-range Fourier series for the function f(x) = x2 Hence find the sum to infinity of the series 1 -