Current Search: Quantum theory. (x)
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Pages
 Title
 The principles of quantum mechanics, Chapter 2.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Notes written by Paul A. M. Dirac on the principles of quantum mechanics. Chapter two discusses symbolic algebra of states and observables, including the addition of states, the multiplication of states, the algebra of observables, the physical interpretation of these observables, and several examples.
 Date Issued
 1930
 Identifier
 s02b48f1, 2180649, FSDT2180649, fsu:212
 Format
 Document (PDF)
 Title
 The principles of quantum mechanics, Chapter 1.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Notes on the principles of quantum mechanics. Chapter 1 covers the principles of superposition including waves and particles, the polarization of photons, and the compatibility of observations.
 Date Issued
 1930
 Identifier
 s02b48f1, 2180648, FSDT2180648, fsu:211
 Format
 Document (PDF)
 Title
 The Conditions for Statistical Equilibrium Between Atoms, Electrons and Radiation.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Lecture given at St. John's College, Cambridge. Attached is a letter of request for an appearance by Dirac from the Royal Society in London.
 Identifier
 FSUDirac_s02b36f4
 Format
 Document (PDF)
 Title
 Lecture of Paul A. M. Dirac on quantum physics presented in France.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Lecture given by Paul A. M. Dirac at two different conferences in Paris, France on December 16 and 23, 1930. Lecture introduces the new idea of quantum physics and explaining the major differences between that and the older, more "classical" physics.
 Date Issued
 193012
 Identifier
 s02b26f11, 2177229, fsu:199
 Format
 Document (PDF)
 Title
 A Quantum Compiler for Topological Quantum Computation.
 Creator

Carnahan, Caitlin, Physics
 Abstract/Description

A quantum computer is a device that exploits the strange properties of quantum mechanics in order to perform computations that are not feasible on a classical computer. To implement a quantum computer, it will be necessary to maintain the delicate quantum superpositions formed during computation; this is a very difficult problem because quantum systems, by their very nature, are incredibly fragile. However, it is possible to implement a finite of quantum gates to the required accuracy, which...
Show moreA quantum computer is a device that exploits the strange properties of quantum mechanics in order to perform computations that are not feasible on a classical computer. To implement a quantum computer, it will be necessary to maintain the delicate quantum superpositions formed during computation; this is a very difficult problem because quantum systems, by their very nature, are incredibly fragile. However, it is possible to implement a finite of quantum gates to the required accuracy, which makes it possible to perform faulttolerant quantum computing, a scheme that minimizes error propagation in computations. The problem then becomes developing a method to build arbitrary quantum operations using this finite set of faulttolerant gates. This can be accomplished by using the SolovayKitaev theorem, which proves that any unitary operation can not only be simulated, but done so efficiently to within a small margin of approximation using only the gates in the universal faulttolerant gate set. The purpose of this research is to create an efficient program that demonstrates the process of the SolovayKitaev theorem using various universal gate sets. Essentially, the program presented in this paper translates a desired operation into the "machine code" of a quantum computer and therefore acts as a "quantum compiler". This project focuses specifically on topological quantum computing in which the faulttolerant gate set can be visualized as elementary braids formed by worldlines traced out by exotic quasiparticles known as Fibonacci anyons.
Show less  Date Issued
 2012
 Identifier
 FSU_migr_uhm0096
 Format
 Thesis
 Title
 Letter to Dr. Dirac, February 1928.
 Creator

Cambridge Mathematical Club
 Abstract/Description

Letter sent from the Cambridge Mathematical Club announcing a club meeting on February 8, 1928, at which Dr. Dirac will read a paper on "The New Mechanics."
 Identifier
 FSU_MSS_1989009_B22_F11_11
 Format
 Set of related objects
 Title
 Basic Beliefs and Prejudices in Physics.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Handwritten notes on the 1976 Lindau Nobel Laureate lecture in which Dirac explains the prejudices and biases that physicists must face. The lecture also covers theological issues, such as whether or not there is a God.
 Date Issued
 19760629
 Identifier
 s02b29f18, 2179024, fsu:200
 Format
 Document (PDF)
 Title
 The Foundations of Quantum Mechanics.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Lecture given by Paul A. M. Dirac at the Lindau Nobel Laureate Conference concerning the basis of quantum mechanics and the recent problems quantum theory faced.
 Date Issued
 196506
 Identifier
 s02b27f27, 2179025, fsu:201
 Format
 Document (PDF)
 Title
 Notes from Lecture of Paul A. M. Dirac at 1971 Lindau Nobel Laureate Meeting.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Notes on the lecture given by Paul A. M. Dirac addressing the fundamental problems in quantum theory; such as causality, and continuity in space and time.
 Date Issued
 19710629
 Identifier
 s02b28f23, 2179027, fsu:203
 Format
 Document (PDF)
 Title
 How the idea of antimatter arose.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Notes from the lecture given in Edinburgh, Scotland by Paul A. M. Dirac concerning where quantum mechanics originated and how the idea of antimatter spread among physicists.
 Date Issued
 19810917
 Identifier
 s02b29f46, 2179029, fsu:205
 Format
 Document (PDF)
 Title
 Dissertation of Paul A. M. Dirac for Ph.D. degree.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Excerpts from the dissertation which Paul A. M. Dirac wrote in order to obtain his Ph. D. from the University of Cambridge. Dirac's dissertation on quantum mechanics includes his notes; a preface; a table of contents; and topics such as algebraic axioms, quantum numbers, and the motion of a particle within a central field.
 Date Issued
 192605
 Identifier
 463297204, 353070, FSDT353070, fsu:641
 Format
 Document (PDF)
 Title
 Entangling Qubits by Heisenberg Spin Exchange and Anyon Braiding.
 Creator

Zeuch, Daniel, Bonesteel, N. E., Sussman, Mark, Hill, S. (Stephen Olof), Piekarewicz, Jorge, Florida State University, College of Arts and Sciences, Department of Physics
 Abstract/Description

As the discovery of quantum mechanics signified a revolution in the world of physics more than one century ago, the notion of a quantum computer in 1981 marked the beginning of a drastic change of our understanding of information and computability. In a quantum computer, information is stored using quantum bits, or qubits, which are described by a quantummechanical superposition of the quantum states 0 and 1. Computation then proceeds by acting with unitary operations on these qubits. These...
Show moreAs the discovery of quantum mechanics signified a revolution in the world of physics more than one century ago, the notion of a quantum computer in 1981 marked the beginning of a drastic change of our understanding of information and computability. In a quantum computer, information is stored using quantum bits, or qubits, which are described by a quantummechanical superposition of the quantum states 0 and 1. Computation then proceeds by acting with unitary operations on these qubits. These operations are referred to as quantum logic gates, in analogy to classical computation where bits are acted on by classical logic gates. In order to perform universal quantum computation it is, in principle, sufficient to carry out singlequbit gates and twoqubit gates, where the former act on individual qubits and the latter, acting on two qubits, are used to entangle qubits with each other. The present thesis is divided into two main parts. In the first, we are concerned with spinbased quantum computation. In a spinbased quantum computer, qubits are encoded into the Hilbert space spanned by spin½ particles, such as electron spins trapped in semiconductor quantum dots. For a suitable qubit encoding, turning onandoff, or "pulsing," the isotropic Heisenberg exchange Hamiltonian JSi · Sj allows for universal quantum computation and it is this scheme, known as exchangeonly quantum computation, which we focus on. In the second part of this thesis, we consider a topological quantum computer in which qubits are encoded using socalled Fibonacci anyons, exotic quasiparticle excitations that obey nonAbelian statistics, and which may emerge in certain twodimensional topological systems such as fractional quantumHall states. Quantum gates can then be carried out by moving these particles around one another, a process that can be viewed as braiding their 2+1 dimensional worldlines. The subject of the present thesis is the development and theoretical understanding of procedures used for entangling qubits. We begin by presenting analytical constructions of pulse sequences which can be used to carry out twoqubit gates that are locally equivalent to a controlledPHASE gate. The corresponding phase can be arbitrarily chosen, and for one particular choice this gate is equivalent to controlledNOT. While the constructions of these sequences are relatively lengthy and cumbersome, we further provide a straightforward and intuitive derivation of the shortest known twoqubit pulse sequence for carrying out a controlledNOT gate. This derivation is carried out completely analytically through a novel "elevation" of a simple threespin pulse sequence to a more complicated fivespin pulse sequence. In the case of topological quantum computation with Fibonacci anyons, we present a new method for constructing entangling twoqubit braids. Our construction is based on an iterative procedure, established by Reichardt, which can be used to systematically generate braids whose corresponding operations quickly converge towards an operation that has a diagonal matrix representation in a particular natural basis. After describing this iteration procedure we show how the resulting braids can be used in two explicit constructions for twoqubit braids. Compared to twoqubit braids that can be found using other methods, the braids generated here are among the most efficient and can be obtained straightforwardly without computational overhead.
Show less  Date Issued
 2016
 Identifier
 FSU_2016SU_Zeuch_fsu_0071E_13323
 Format
 Thesis
 Title
 Structural Stability and Emergent Phases in Oxygen Deficient Complex Transition Metal Oxides.
 Creator

Ghosh, Soham S., Manousakis, Efstratios, Shatruk, Mykhailo, Bonesteel, N. E., Roberts, Winston, Van Winkle, David, Flaherty, Francis A., Florida State University, College of...
Show moreGhosh, Soham S., Manousakis, Efstratios, Shatruk, Mykhailo, Bonesteel, N. E., Roberts, Winston, Van Winkle, David, Flaherty, Francis A., Florida State University, College of Arts and Sciences, Department of Physics
Show less  Abstract/Description

This dissertation is a theoretical and computational examination of structural, electronic and magnetic properties of complex transition metal oxide structures. Our work is motivated by experimental observations that transition metal oxides manifest novel properties at surfaces and interfaces that are absent in bulk, and that there exist competing ground states driven by offstoichiometry, oxygen vacancy and reduction of symmetry. We examine these properties using density functional theory ...
Show moreThis dissertation is a theoretical and computational examination of structural, electronic and magnetic properties of complex transition metal oxide structures. Our work is motivated by experimental observations that transition metal oxides manifest novel properties at surfaces and interfaces that are absent in bulk, and that there exist competing ground states driven by offstoichiometry, oxygen vacancy and reduction of symmetry. We examine these properties using density functional theory (DFT) within the spingeneralized gradient approximation (SpinGGA) along with the application of a Hubbard U (GGA + U). We present our detailed results for the following systems: oxygen deficient strontium titanate surface, strontium ruthenate interfaced with ruthenium metal inclusions, and ytterbium titanate with Yb "stuffing". In the course of our work, we cover materials with 3d, 4d and 4f band characters, each of which have different band masses, electronelectron correlations and spinorbit coupling (SOC) strength. We investigate the role of surface termination, oxygen vacancy doping and cation "stuffing" defects in these metaloxides and show the emergence of novel properties consistent with experimentally acquired information and possible applications. We conclude by presenting implications for further work.
Show less  Date Issued
 2017
 Identifier
 FSU_SUMMER2017_Ghosh_fsu_0071E_13962
 Format
 Thesis
 Title
 Lecture of Paul A. M. Dirac at the Solvay Conference on Physics, 1927.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Lecture Paul A. M. Dirac gave at the Solvay Congress concerning the newly formulated quantum theory.
 Date Issued
 1927
 Identifier
 s02b26f03, 2101833, fsu:196
 Format
 Document (PDF)
 Title
 Search for Supersymmetry at CMS in Events with Photons, Jets and Low Missing Transverse Energy.
 Creator

Adams, Jordon Rowe, Askew, Andrew, Chase, P. Bryant, Adams, Todd, Owens, Joseph F., Dobrosavljević, Vladimir, Florida State University, College of Arts and Science, Department...
Show moreAdams, Jordon Rowe, Askew, Andrew, Chase, P. Bryant, Adams, Todd, Owens, Joseph F., Dobrosavljević, Vladimir, Florida State University, College of Arts and Science, Department of Physics
Show less  Abstract/Description

The Standard Model (SM) of particle physics offers the most complete quantum description of the known universe to date, however is unable to address some still unanswered questions. Supersymmetry (SUSY) is a theory which proposes partner particles for all SM particles and offers explanations for many of these questions. Many SUSY searches performed rely on signatures of high missing transverse energy due to a heavy SUSY particle escaping the detector, however these searches have not yet...
Show moreThe Standard Model (SM) of particle physics offers the most complete quantum description of the known universe to date, however is unable to address some still unanswered questions. Supersymmetry (SUSY) is a theory which proposes partner particles for all SM particles and offers explanations for many of these questions. Many SUSY searches performed rely on signatures of high missing transverse energy due to a heavy SUSY particle escaping the detector, however these searches have not yet yielded positive results and therefore new search strategies must be employed. In this analysis, a search for new physics is performed at the CERN LHC which targets signatures of SUSY. Specifically, a search for Stealth SUSY is performed, based on a sample of protonproton collisions at √s = 8 TeV corresponding to 19.7 fb⁻¹ of integrated luminosity collected with the CMS detector in 2012. Stealth SUSY is a unique brand of SUSY which conserves RParity and naturally produces a low amount of missing transverse energy. The search strategy utilized is sen sitive to a wide variety of new physics models including compressed spectra and long decay chains. The Stealth SUSY final state topology considered in this analysis consists of two photons, many jets and low missing transverse energy. The results of this datadriven search for new physics are reported, and good agreement is observed with the background expectation. The data are thus used to determine limits on squark/gaugino masses in the Stealth SUSY framework.
Show less  Date Issued
 2015
 Identifier
 FSU_migr_etd9278
 Format
 Thesis
 Title
 Letter to Dr. Dirac, June 20, 1928.
 Creator

Breit, Gregory
 Abstract/Description

Letter sent from Y. Breit to Dr. Dirac asking for his plans for the year and the possibility of working together. Breit also poses a few questions about Dr. Dirac's theories.
 Identifier
 FSU_MSS_1989009_B22_F11_42
 Format
 Set of related objects
 Title
 The principles of quantum mechanics, preface and table of contents.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Notes on quantum mechanics written by Paul A. M. Dirac. The preface includes a brief explanation on the need for the newer concept of quantum mechanics, the difficulties in this field of science, and discussion of Dirac's own theory. Document also includes a table of contents for the remainder of Dirac's notes.
 Date Issued
 19300529
 Identifier
 s02b48f1, 2180647, FSDT2180647, fsu:210
 Format
 Document (PDF)
 Title
 Letter to Dr. Dirac, February 22, 1927.
 Creator

St. John's College (University of Cambridge)
 Abstract/Description

Letter sent from St. John's College to Dr. Dirac regarding a fellowship competition and residence in the college. The back of the letter contains a short professional history by Dirac.
 Identifier
 FSU_MSS_1989009_B22_F9_07
 Format
 Set of related objects
 Title
 Letter to Dr. Dirac, April 13, 1927.
 Creator

Scott, Robert Forsyth
 Abstract/Description

Letter sent from St. John's College in Cambridge by R. F. Scott to Dr. Dirac regarding his application for a fellowship and his writings on quantum mechanics.
 Identifier
 FSU_MSS_1989009_B22_F9_27
 Format
 Image (JPEG2000)
 Title
 Letter to Dr. Dirac, 1927.
 Creator

Lorentz, H. A. (Hendrik Antoon)
 Abstract/Description

Letter sent from Haarlem by H.A. Lorentz to Dr. Dirac inviting him to join the discussion on modern quantum dynamics at the Institut international du PhysiqueSolvay in the upcoming October.
 Identifier
 FSU_MSS_1989009_B22_F10_10
 Format
 Set of related objects
 Title
 Noncommutative algebra in the physical world.
 Creator

Dirac, P. A. M. (Paul Adrien Maurice)
 Abstract/Description

Notes on the lecture which Paul A. M. Dirac presented at the University of Cambridge. The lecture discusses the BohrSummerfeld theory, the Heisenberg principle, and Dirac's own equation.
 Date Issued
 19690629
 Identifier
 s02b28f14, 2179037, fsu:207
 Format
 Document (PDF)
 Title
 Quantumlike behavior without quantum physics I: Kinematics of neurallike systems..
 Creator

Selesnick, S A, Rawling, J P, Piccinini, Gualtiero
 Abstract/Description

Recently there has been much interest in the possible quantumlike behavior of the human brain in such functions as cognition, the mental lexicon, memory, etc., producing a vast literature. These studies are both empirical and theoretical, the tenets of the theory in question being mainly, and apparently inevitably, those of quantum physics itself, for lack of other arenas in which quantumlike properties are presumed to obtain. However, attempts to explain this behavior on the basis of...
Show moreRecently there has been much interest in the possible quantumlike behavior of the human brain in such functions as cognition, the mental lexicon, memory, etc., producing a vast literature. These studies are both empirical and theoretical, the tenets of the theory in question being mainly, and apparently inevitably, those of quantum physics itself, for lack of other arenas in which quantumlike properties are presumed to obtain. However, attempts to explain this behavior on the basis of actual quantum physics going on at the atomic or molecular level within some element of brain or neuronal anatomy (other than the ordinary quantum physics that underlies everything), do not seem to survive much scrutiny. Moreover, it has been found empirically that the usual physicslike Hilbert space model seems not to apply in detail to human cognition in the large. In this paper we lay the groundwork for a theory that might explain the provenance of quantumlike behavior in complex systems whose internal structure is essentially hidden or inaccessible. The approach is via the logic obeyed by these systems which is similar to, but not identical with, the logic obeyed by actual quantum systems. The results reveal certain effects in such systems which, though quantumlike, are not identical to the kinds of quantum effects found in physics. These effects increase with the size of the system.
Show less  Date Issued
 20170901
 Identifier
 FSU_pmch_28707197, 10.1007/s1086701794609, PMC6104899, 28707197, 28707197, 10.1007/s1086701794609
 Format
 Citation
 Title
 The Three Body Coulomb Problem: An Examination of Bound States and Stability as a Function of Individual Masses.
 Creator

Kondyukov, Grigoriy, Department of Physics
 Abstract/Description

In this work we study quantum nonrelativistic threebody systems interacting via Coulomb potential. The solution in this undertaking utilizes and expansion of wave functions using products of Laguerre polynomial, followed by variational adjustment of coordinate scaling parameters. The method used in this study was originally developed by C.L. Pekeris and its advantage stems from recursion relations available for Laguerre polynomial. We developed an implementation of modular C++ code for...
Show moreIn this work we study quantum nonrelativistic threebody systems interacting via Coulomb potential. The solution in this undertaking utilizes and expansion of wave functions using products of Laguerre polynomial, followed by variational adjustment of coordinate scaling parameters. The method used in this study was originally developed by C.L. Pekeris and its advantage stems from recursion relations available for Laguerre polynomial. We developed an implementation of modular C++ code for solving the threebody problem numerically with high precision, improving upon previous works. The stability of threebody systems as well as excitation energies of excited states and ionization energy in the parameter space of charges and masses is investigated.
Show less  Date Issued
 2015
 Identifier
 FSU_migr_uhm0502
 Format
 Thesis
 Title
 Letter to Dr. Dirac, February 13, 1928.
 Creator

Heisenberg, Werner
 Abstract/Description

Letter sent from Leipzig by Werner Heisenberg to Dr. Dirac discussing the possibility of working together in Chicago in the fall as well as their recent work and theories.
 Identifier
 FSU_MSS_1989009_B22_F11_08
 Format
 Set of related objects