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<HTML><HEAD><TITLE>PHY 411-506 Spring 2001: Lectures</TITLE>
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Outline</A> &nbsp;|&nbsp; <B style=3D"COLOR: gray">Lectures</B> =
&nbsp;|&nbsp; <A=20
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<H1>LECTURES </H1>
<P>
<HR class=3Dshort>

<P>
<H3>Chapter 15: Complexity</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr30.html">Lecture=20
  40: April 30</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr30.html#sec0">Forest=20
    fire automaton model</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr30.html#sec1">Neural=20
    networks and associative memory</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr27.html">Lecture=20
  39: April 27</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr27.html#sec0">Two-dimensional=20
    sandpile automaton</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr25.html">Lecture=20
  38: April 25</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr25.html#sec0">The=20
    Gutenberg-Richter Law</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr25.html#sec1">One-dimensional=20
    sandpile automaton</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr20.html">Lecture=20
  37: April 20</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr20.html#sec0">Lattice=20
    Gas Model of Fluid Flow</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr18.html">Lecture=20
  36: April 18</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr18.html#sec0">2-D=20
    Cellular Automata (continued)</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr16.html">Lecture=20
  35: April 16</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr16.html#sec0">Conway's=20
    Game of Life</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr13.html">Lecture=20
  34: April 13</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter15/apr13.html#sec0">One-dimensional=20
    Boolean cellular automaton</A> </LI></UL></LI></UL>
<H3>Chapter 18: Quantum Systems</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr11.html">Lecture=20
  33: April 11</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr11.html#sec0">Path=20
    Integral Quantum Monte Carlo (continued)</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr9.html">Lecture=20
  32: April 9</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr9.html#sec0">Path=20
    Integral Quantum Monte Carlo</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr6.html">Lecture=20
  31: April 6</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr6.html#sec0">Quantum=20
    Systems - Catching up!</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr4.html">Lecture=20
  30: April 4</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr4.html#sec0">Random=20
    Walk Quantum Monte Carlo</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr2.html">Lecture=20
  29: April 2</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr2.html#sec0">Quantum=20
    Systems - Catching up!</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/apr2.html#sec1">Parabolic=20
    partial differential equations.</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/mar30.html">Lecture=20
  28: March 30</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/mar30.html#sec0">Quantum=20
    Systems - Catching up!</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/mar28.html">Lecture=20
  27: March 28</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/mar28.html#sec0">Time-Dependendent=20
    Schr=F6dinger Equation</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/mar26.html">Lecture=20
  26: March 26</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter18/mar26.html#sec0">Bound=20
    state solutions by deterministic integration</A> =
</LI></UL></LI></UL>
<H3>Chapter 17: Monte Carlo Simulation of the Canonical Ensemble</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar23.html">Lecture=20
  25: March 23</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar23.html#sec0">Finite=20
    Size Scaling - Catching up!</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar21.html">Lecture=20
  24: March 21</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar21.html#sec0">Autocorrelations=20
    - Catching up!</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar19.html">Lecture=20
  23: March 19</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar19.html#sec0">Ising=20
    phase transition and finite size scaling</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar16.html">Lecture=20
  22: March 16</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar16.html#sec0">Autocorrelations=20
    in the 2-D Ising model simulation</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar12.html">Lecture=20
  21: March 12</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar12.html#sec0">Counting=20
    States: Energy versus Entropy</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar2.html">Lecture=20
  20: March 2</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter17/mar2.html#sec0">The=20
    Two-Dimensional Ising Model</A> </LI></UL></LI></UL>
<H3>Chapter 16: The Microcanonical Ensemble</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter16/feb28.html">Lecture=20
  19: February 28</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter16/feb28.html#sec0">One=20
    dimensional Ising Model: theory and simulation</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter16/feb26.html">Lecture=20
  18: February 26</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter16/feb26.html#sec0">The=20
    One-Dimensional Ising Model</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter16/feb23.html">Lecture=20
  17: February 23</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter16/feb23.html#sec0">The=20
    Microcanonical Ensemble</A> </LI></UL></LI></UL>
<H3>Chapter 12: Random Walks</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb21.html">Lecture=20
  16: February 21</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb21.html#sec0">Application=20
    of the pivot algorithm</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb19.html">Lecture=20
  15: February 19</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb19.html#sec0">Kink-jump=20
    polymer dynamics</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb16.html">Lecture=20
  14: February 16</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb16.html#sec0">Symmetries=20
    of the square lattice</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb16.html#sec1">The=20
    double cul-de-sac polymer</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb14.html">Lecture=20
  13: February 14</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb14.html#sec0">Reptation=20
    method for enriching a polymer sample</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb12.html">Lecture=20
  12: February 12</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb12.html#sec0">More=20
    on Self-Avoiding Random Walks</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb12.html#sec1">Applications=20
    of Random Walks to Polymers</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb12.html#sec2">DNA=20
    is a Polymer</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb9.html">Lecture=20
  11: February 9</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb9.html#sec0">Modified=20
    Random Walks: A Lattice Gas</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb9.html#sec1">Self-Avoiding=20
    Random Walk in 2 Dimensions</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb7.html">Lecture=20
  10: February 7</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb7.html#sec0">A=20
    random walk in two dimensions</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter12/feb7.html#sec1">More=20
    on graphics programming</A> </LI></UL></LI></UL>
<H3>Chapter 11: Numerical Integration and Monte Carlo Methods</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/feb5.html">Lecture=20
  9: February 5</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/feb5.html#sec0">Importance=20
    Sampling</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/feb5.html#sec1">Metropolis=20
    Monte Carlo Algorithm</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/feb2.html">Lecture=20
  8: February 2</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/feb2.html#sec0">Generating=20
    the Gaussian distribution</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/feb2.html#sec1">Overview=20
    of Java graphics programming</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/jan31.html">Lecture=20
  7: January 31</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/jan31.html#sec0">Monte=20
    Carlo Quadrature and Error Analysis</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/jan29.html">Lecture=20
  6: January 29</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/jan29.html#sec0">Quadrature=20
    and Integration</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/jan29.html#sec1">Programming=20
    the Rectangular Approximation</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter11/jan29.html#sec2">Multidimensional=20
    Quadrature</A> </LI></UL></LI></UL>
<H3>Chapter 7: Random Processes</H3>
<UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan26.html">Lecture=20
  5: January 26</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan26.html#sec0">Random=20
    Walks</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan26.html#sec1">2-D=20
    Random Walk - Java Graphics</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan24.html">Lecture=20
  4: January 24</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan24.html#sec0">Binomial,=20
    Poisson, and Gaussian Distributions</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan24.html#sec1">Relationship=20
    between Poisson and Gaussian distributions</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan22.html">Lecture=20
  3: January 22</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan22.html#sec0">Darts=20
    and the Poisson distribution</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan22.html#sec1">Another=20
    Poisson applet</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan19.html">Lecture=20
  2: January 19</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan19.html#sec0">Random=20
    sequences</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan19.html#sec1">Pseudo-random=20
    number generators</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan19.html#sec2">How=20
    good are they?</A> </LI></UL>
  <LI><A=20
  =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan17.html">Lecture=20
  1: January 17</A>=20
  <UL>
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan17.html#sec0">Random=20
    processes</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan17.html#sec1">Tossing=20
    a coin</A>=20
    <LI><A=20
    =
href=3D"http://www.physics.buffalo.edu/gonsalves/phy411-506_spring01/Chap=
ter7/jan17.html#sec2">Random=20
    number generators</A> </LI></UL></LI></UL>
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