jorgenh_thesis.bbl~

\begin{thebibliography}{10}

\bibitem{verdensBesteArtikkel}
S.~Reimann, J.~H{\o}gberget, M.~Hjorth-Jensen, and S.~K. Bogner.
\newblock {In-medium similarity renormalization group approach studies of
  quantum dots}.
\newblock In preparation, 2013.

\bibitem{Hirth}
Christoffer Hirth.
\newblock {Studies of quantum dots: Ab initio coupled-cluster analysis using
  OpenCL and GPU programming}.
\newblock Master's thesis, University of Oslo, 2012.

\bibitem{H_He_exact}
Moskowitz Kalos.
\newblock {A new Look at Correlations in Atomic and Molecular Systems.
  Application of Fermion Monte Carlo Variational Method}.
\newblock {\em Int. J. Quant. Chem.}, \textbf{XX}:1107, 1981.

\bibitem{ExactMolecules}
S.~Datta, S.~A. Alexander, and R.~L. Coldwell.
\newblock {Properties of selected diatomics using variational Monte Carlo
  methods}.
\newblock {\em J. Chem. Phys.}, \textbf{120}:3642, 2004.

\bibitem{AtomsExact}
Matthias Degroote.
\newblock {Faddeev random phase approximation applied to molecules}.
\newblock {\em Eur. Phys. J. ST}, \textbf{218}:1, 2013.

\bibitem{KryptonExact}
Harry Partridge.
\newblock {Near Hartree--Fock quality GTO basis sets for the first- and
  third-row atoms}.
\newblock {\em J. Chem. Phys.}, \textbf{90}:1043, 1989.

\bibitem{forcesQMC}
A~Badinski, P~D Haynes, J~R Trail, and R~J Needs.
\newblock {Methods for calculating forces within quantum Monte Carlo
  simulations}.
\newblock {\em J. Phys.: Condens. Matter}, \textbf{22}:074202, 2010.

\bibitem{Olsen}
Veronica K.~B. Olsen.
\newblock {Full Configuration Interaction Simulation of Quantum Dots}.
\newblock Master's thesis, University of Oslo, 2012.

\bibitem{libBorealisCode}
J{\o}rgen H{\o}gberget.
\newblock {\em {Git Repository: LibBorealis}}, 2013.
\newblock http://www.github.com/jorgehog/QMC2.

\bibitem{MD1}
Murat Barisik and Ali Beskok.
\newblock {Equilibrium molecular dynamics studies on nanoscale-confined
  fluids}.
\newblock {\em Microfluid Nanofluid}, \textbf{11}(3):269, September 2011.

\bibitem{MD2}
Karl~P. Travis and Keith~E. Gubbins.
\newblock {Poiseuille flow of Lennard-Jones fluids in narrow slit pores}.
\newblock {\em J. Chem. Phys}, \textbf{112}:1984, 2000.

\bibitem{supermen}
Charles~J. Murray.
\newblock {\em {The SUPERMEN}}.
\newblock New York: Wiley, 1997.

\bibitem{inf3331}
Hans~Petter Langtangen.
\newblock {\em {Python Scripting for Computational Science}}.
\newblock Springer, 3rd edition, 2008.

\bibitem{pythonBook}
Mark Lutz.
\newblock {\em {Programming Python - powerful object-oriented programming.}}
\newblock O'Reilly, 3rd edition, 2006.

\bibitem{inf1100}
Hans~Petter Langtangen.
\newblock {\em {A primer on scientific programming with Python}}.
\newblock Springer, Berlin; Heidelberg; New York, 2011.

\bibitem{ORegan}
Gerard O'Regan.
\newblock {\em {A Brief History of Computing, Second Edition.}}
\newblock Springer, 2012.

\bibitem{griffiths}
David Griffiths.
\newblock {\em {Introduction to Quantum Mechanics}}.
\newblock Pearson, 2nd edition edition, 2005.

\bibitem{Shavitt}
I.~Shavitt and R.~J. Bartlett.
\newblock {\em {Many-Body Methods in Chemistry and Physics}}.
\newblock Cambridge University Press, Cambridge, 2009.

\bibitem{Sigve}
Sigve~B. Skattum.
\newblock {Time Evolution of Quantum Dots}.
\newblock Master's thesis, University of Oslo, 2013.

\bibitem{QMCDIFF}
J.~J. Mares et~al.
\newblock {Periodic reactions and quantum diffusion}.
\newblock http://www.fzu.cz/~sestak/yyx/periodic\%20reactions.pdf.

\bibitem{abInitioMC}
B.L. Hammond, Jr. {W. A. Lester}, and P.~J. Reynolds.
\newblock {\em {Monte Carlo Methods in Ab Initio Quantum Chemistry}}.
\newblock World Scientific Publishing Co., 1994.

\bibitem{Gardiner:2004bk}
C.~W Gardiner.
\newblock {\em {Handbook of stochastic methods for physics, chemistry, and the
  natural sciences}}.
\newblock Springer-Verlag, Berlin, 3rd edition, 2004.

\bibitem{risken1989fpe}
H.~Risken and H.~Haken.
\newblock {\em {The Fokker-Planck Equation: Methods of Solution and
  Applications Second Edition}}.
\newblock Springer, 1989.

\bibitem{langevin}
W.~T Coffey, Y.~P Kalmykov, and J.~T Waldron.
\newblock {\em {The Langevin Equation: With Applications to Stochastic Problems
  in Physics, Chemistry, and Electrical Engineering. }}.
\newblock World Scientific, Singapore, 2004.

\bibitem{robertcasella}
C.P. Robert and G.~Casella.
\newblock {\em {Monte Carlo Statistical Methods}}.
\newblock Springer Verlag, 2004.

\bibitem{morten}
Morten Hjorth-Jensen.
\newblock {Computational Physics}.
\newblock 2010.

\bibitem{Sakurai:94}
J.~J. Sakurai.
\newblock {\em {Modern Quantum Mechanics}}.
\newblock Addison-Wesley, New York, {Revised ed} edition, 1994.

\bibitem{larseivind}
Lars~Eivind Lerv{\aa}g.
\newblock {VMC Calculations of Two-dimensional Quantum Dots}.
\newblock Master's thesis, University of Oslo, 2010.

\bibitem{QMCPHD2008}
Daniel~Andres Nissenbaum.
\newblock {\em {The stochastic gradient approximation: an application to li
  nanoclusters}}.
\newblock PhD thesis, Northeastern University, 2008.

\bibitem{UmrigarMolecules}
Claudia Filippi and C.~J. Umrigar.
\newblock {Multiconfiguration wave function for quantum Monte Carlo
  calculations of first-row diatomic molecules}.
\newblock {\em J. Chem. Phys}, \textbf{105}:213, July 1996.

\bibitem{golub1996matrix}
G.H. Golub and C.F. {Van Loan}.
\newblock {\em {Matrix computations}}, volume~3.
\newblock Johns Hopkins Univ Press, 1996.

\bibitem{ASGD_MB}
A.~{Harju}, B.~{Barbiellini}, S.~{Siljam{\"a}ki}, R.~M. {Nieminen}, and
  G.~{Ortiz}.
\newblock {Stochastic Gradient Approximation: An Efficient Method to Optimize
  Many-Body Wave Functions}.
\newblock {\em Phys.~Rev.~Lett.}, page 1173, August 1997.

\bibitem{ASGD}
Stefan Klein, Josien P.~W. Pluim, Marius Staring, and Max~A. Viergever.
\newblock {Adaptive Stochastic Gradient Descent Optimisation for Image
  Registration.}
\newblock {\em Int. J. Comput. Vision}, page 227, 2009.

\bibitem{leinaas}
Jon~Magne Leinaas.
\newblock {Non-Relativistic Quantum Mechanics}.
\newblock lecture notes FYS4110.

\bibitem{flyvbjerg:461}
H.~Flyvbjerg and H.~G. Petersen.
\newblock {Error estimates on averages of correlated data}.
\newblock {\em J. Chem. Phys}, \textbf{91}:461, 1989.

\bibitem{linAlg}
David~C. Lay.
\newblock {\em {Linear Algebra and its Applications}}.
\newblock Pearson, 4 edition, 2012.

\bibitem{SolidHarmonics}
Jaime~Fern{\'a}ndez Rico, Rafael L{\'o}pez, Ignacio Ema, and Guillermo
  Ram{\'i}rez.
\newblock {Translation of real solid spherical harmonics}.
\newblock {\em Int. J. Quant. Chem.}, \textbf{113}:1544, 2013.

\bibitem{Helgaker}
T.~Helgaker, P.~J{\o}rgensen, and J.~Olsen.
\newblock {\em {Molecular {E}lectronic-{S}tructure {T}heory}}.
\newblock Wiley, Chichester, 2000.

\bibitem{QDOTS_SOLAR}
A.~Kongkanand, K.~Tvrdy, K.~Takechi, M.~Kuno, and P.~V. Kamat.
\newblock {Quantum dot solar cells. Tuning photoresponse through size and shape
  control of CdSe-TiO2 architecture}.
\newblock {\em J. Am. Chem. Soc.}, \textbf{130}:4007, March 2008.

\bibitem{QDOTS_LASER}
G.~Park, O.B. Shchekin, D.L. Huffaker, and D.G. Deppe.
\newblock {Low-threshold oxide-confined 1.3- micrometer quantum-dot laser}.
\newblock {\em {IEEE} Photon. Technol. Lett.}, \textbf{12}:230, 2000.

\bibitem{QDOTS_MEDICINE}
E.T. Ben-Ari.
\newblock {Nanoscale quantum dots hold promise for cancer applications}.
\newblock {\em J. Natl. Cancer Inst.}, \textbf{90}:502, 2003.

\bibitem{QDOTS_QUANTUM}
D.~Loss and D.~P. Vincenzo.
\newblock {Quantum computation with quantum dots}.
\newblock {\em Phys.~Rev.~A}, \textbf{57}:120, 1998.

\bibitem{doubleWellExpt}
R.~V. Shenoi, J.~Hou, Y.~Sharma, J.~Shao, T.~E. Vandervelde, and S.~Krishna.
\newblock {Low strain quantum dots in a double well infrared detector}.
\newblock pages 708207--708207--6, 2008.

\bibitem{ymwang}
Yang~Min Wang.
\newblock {Coupled-Cluster Studies of Double Quantum Dots}.
\newblock Master's thesis, University of Oslo, 2011.

\bibitem{taut}
M.~Taut.
\newblock {Two electrons in an external oscillator potential: Particular
  analytic solutions of a Coulomb correlation problem}.
\newblock {\em Phys. Rev. A}, \textbf{48}:3561, Nov 1993.

\bibitem{MagnusArticle}
M.~{Pedersen Lohne}, G.~Hagen, M.~Hjorth-Jensen, S.~Kvaal, and F.~Pederiva.
\newblock {\textit{Ab initio} computation of the energies of circular quantum
  dots}.
\newblock {\em Phys.~Rev.~B}, \textbf{84}:115302, Sep 2011.

\bibitem{Sarah}
Sarah Reimann.
\newblock {Quantum-mechanical systems in traps and Similarity Renormalization
  Group theory}.
\newblock Master's thesis, University of Oslo, 2013.

\bibitem{WignerCrystalOrig}
E.~Wigner.
\newblock {On the Interaction of Electrons in Metals}.
\newblock {\em Phys. Rev.}, \textbf{46}:1002, Dec 1934.

\bibitem{WignerTransport}
F~Cavaliere, U~De Giovannini, M~Sassetti, and B~Kramer.
\newblock {Transport properties of quantum dots in the Wigner molecule regime}.
\newblock {\em New J. Phys.}, \textbf{11}:123004, 2009.

\bibitem{WignerPathTo}
Lang Zeng, W.~Geist, W.~Y. Ruan, C.~J. Umrigar, and M.~Y. Chou.
\newblock {Path to Wigner localization in circular quantum dots}.
\newblock {\em Phys. Rev. B}, \textbf{79}:235334, Jun 2009.

\bibitem{WignerSymmetryBreak}
Constantine Yannouleas and Uzi Landman.
\newblock {Symmetry breaking and Wigner molecules in few-electron quantum
  dots}.
\newblock {\em phys. stat. sol. (a)}, \textbf{203}:1160, 2006.

\bibitem{WignerFloating}
S.A. Mikhailova and K.~Ziegler.
\newblock {Floating Wigner molecules and possible phase transitions in quantum
  dots}.
\newblock {\em Eur. Phys. J. B}, \textbf{28}:117, 2002.

\bibitem{Wigner2DQD}
N.~Akman and M.~Tomak.
\newblock {The Wigner molecule in a 2D quantum dot}.
\newblock {\em Physica E: Low-dimensional Systems and Nanostructures},
  \textbf{4}:277, 1999.

\bibitem{WignerExptHelium}
C.~C. Grimes and G.~Adams.
\newblock {Evidence for a Liquid-to-Crystal Phase Transition in a Classical,
  Two-Dimensional Sheet of Electrons}.
\newblock {\em Phys. Rev. Lett.}, \textbf{42}:795, Mar 1979.

\bibitem{WignerExptSemicond}
Jongsoo Yoon, C.~C. Li, D.~Shahar, D.~C. Tsui, and M.~Shayegan.
\newblock {Wigner Crystallization and Metal-Insulator Transition of
  Two-Dimensional Holes in GaAs at
  $\mathit{B}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$}.
\newblock {\em Phys. Rev. Lett.}, \textbf{82}:1744, Feb 1999.

\bibitem{WignerClassic}
F.~Bolton and U.~R{\"o}ssler.
\newblock {Classical model of a Wigner crystal in a quantum dot}.
\newblock {\em Superlattices and Microstructures}, \textbf{13}:139, 1993.

\bibitem{FockVirial}
V~Fock.
\newblock {Bemerkung zum Virialsatz}.
\newblock {\em Z. Phys.}, \textbf{63}:855, November 1930.

\bibitem{UniversityPhysics}
H.~D. Young, R.A. Freedman, and L.A. Ford.
\newblock {\em {Sears and Zemansky's University Physics}}.
\newblock Pearson, Addison-Wesley, 12 edition, 2008.

\bibitem{ReaxFF}
Adri C.~T. van Duin, Siddharth Dasgupta, Francois Lorant, and William~A.
  Goddard.
\newblock {ReaxFF: A Reactive Force Field for Hydrocarbons}.
\newblock {\em J. Phys. Chem. A}, \textbf{105}:9396, 2001.

\bibitem{armadillo}
Conrad Sanderson.
\newblock {Armadillo: An Open Source C++ Linear Algebra Library for Fast
  Prototyping and Computationally Intensive Experiments}.
\newblock Technical report, NICTA, 2010.

\bibitem{vmcAtoms}
H{\aa}vard Sandsdalen.
\newblock {Variational Monte Carlo studies of Atoms}.
\newblock Master's thesis, University of Oslo, 2010.

\bibitem{momentspaceQMC}
Aurel Bulgac and Michael~McNeil Forbes.
\newblock {Use of the discrete variable representation basis in nuclear
  physics}.
\newblock {\em Phys. Rev. C}, \textbf{87}:051301, May 2013.

\bibitem{CCSD_WF}
A.~Roggero, F.~Pederiva, and A.~Mukherjee.
\newblock {Quantum Monte Carlo with Coupled-Cluster wave functions}.
\newblock arXiv:1304.1549 [nucl-th].

\bibitem{Matplotlib}
{Matplotlib website}, May 2013.
\newblock http://matplotlib.org.

\bibitem{Pyside}
{PySide website}, May 2013.
\newblock \\http://qt-project.org/wiki/Category:LanguageBindings::PySide.

\bibitem{SymPy}
{SymPy website}, May 2013.
\newblock http://sympy.org.

\end{thebibliography}