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Indecomposable Representations of the Square
Indecomposable Representations of the Square

... k4 (See Table 1) so that B[T (1λ)] have only two-boson realizations, which are the same as those in Eq. (4) and hence not given in Eq. (7). In order to realize Rνλ by using the less bosons, we consider a quotient space Ω/I2 of Ω, where the left ideal I2 associated with Ω is generated by two elements ...
Entanglement or Separability
Entanglement or Separability

... important concepts, the Schmidt-decomposition and the Von-Neumann entropy, are introduced which will prove to be useful in further studies. The Bell states will function as examples. In chapter 4 mixed bipartite qudit systems are discussed. First a simple but important criterion for non-entanglement ...
Direct Characterization of Quantum Dynamics: General Theory
Direct Characterization of Quantum Dynamics: General Theory

here
here

...  Why is this a p-wave superconductor?  For the so-called s-, p-, d- or f-wave superconductor ...
acta physica slovaca vol. 50 No. 1, 1 – 198 February 2000
acta physica slovaca vol. 50 No. 1, 1 – 198 February 2000

... Received 10 November 1999, in final form 10 January 2000, accepted 13 January 2000 The work can be considered as an essay on mathematical and conceptual structure of nonrelativistic quantum mechanics (QM) which is related here to some other (more general, but also to more special and “approximative” ...
Lindblad driving for nonequilibrium steady
Lindblad driving for nonequilibrium steady

... whereas the operators remain constant. As is well known [3] we can also consider the operators to be time-dependent with the state-vectors remaining constant. This formulation of quantum mechanics is called Heisenberg picture 3 . When the Hamiltonian of the system can be separated into a free part a ...
Unitarity as Preservation of Entropy and Entanglement in Quantum
Unitarity as Preservation of Entropy and Entanglement in Quantum

... probabilities), led von Neumann to define disorder in quantum mechanical systems as S(ρ), given by Eq. (1), for a physical system in a state ρ. Notice that density matrices can be interpreted as statistical mixtures  of projectors onto elements of a Hilbert space H. And S(ρ) = − ni=1 pi log2 pi , wh ...
Algebraic Study on the Quantum Calogero Model
Algebraic Study on the Quantum Calogero Model

... For instance, the problem on the hydrogen atom, which played a crucial role in bringing high credit to quantum mechanics, is a typical example of the models whose eigenvalue problems are exactly soh·able by separation of variables. This system has three, which is the same as the number of degrees of ...
Reflection equation algebra in braided geometry 1
Reflection equation algebra in braided geometry 1

... becomes involutive). Then for a generic q the dimensions of homogeneous components of the RTT algebra and of the REA equal to those at q = 1, that is the dimensions are stable under the q-deformation. Moreover, there exists an analog of the PBW theorem for the mREA. Thus, in the standard case the mR ...
Geometric phases in quantum systems of pure and mixed state
Geometric phases in quantum systems of pure and mixed state

Ambiguity in Categorical Models of Meaning
Ambiguity in Categorical Models of Meaning

... If all the above structural isomorphisms are equalities, the category becomes strict monoidal. In the analysis of grammar, the categories that we will explore will all be strict monoidal. However, a category that we will encounter to provide semantics for natural language, that of (finite-dimensiona ...
Quantum Computing with Majorana Fermions Coupled to
Quantum Computing with Majorana Fermions Coupled to

NON-RELATIVISTIC QUANTUM MECHANICS - Philsci
NON-RELATIVISTIC QUANTUM MECHANICS - Philsci

11 Harmonic oscillator and angular momentum — via operator algebra
11 Harmonic oscillator and angular momentum — via operator algebra

WEAK COUPLING LIMIT OF THE iV
WEAK COUPLING LIMIT OF THE iV

Quantized field description of rotor frequency
Quantized field description of rotor frequency

... Recently, it was shown that rotor field quantization offers a self-consistent framework to describe the evolution of the spin system with conservation of energy.17 The total orbital angular momentum l of a forced rotation of a rotor with eigenstates 兩 lm 典 in the quasiclassical limit defined by l→⬁ ...
Equações de Onda Generalizadas e Quantização
Equações de Onda Generalizadas e Quantização

... Prof. Dr. Paulo Afonso Faria da Veiga (Institute of Mathematics and Computer Sciences – University of Sao Paulo) Prof. Dr. André Gustavo Scagliusi Landulfo (Centro de Ciências Naturais e Humanas – Federal University of ABC) ...
Coherent states and projective representation of the linear canonical
Coherent states and projective representation of the linear canonical

... Canonical transformations and their relations to quantum mechanics have been studied extensively and in many different settings. 1-10 See, for instance Refs. 2 and 3 for a representation in terms of coherent states, Ref. 4 for applications of this treatment of the homogeneous linear canonical transf ...
Fractional Fourier–Kravchuk transform
Fractional Fourier–Kravchuk transform

... c ~NN ! ...
Direct characterization of quantum dynamics
Direct characterization of quantum dynamics

... by performing quantum state tomography in the joint Hilbert space of system and ancilla. The AAPT scheme has also been demonstrated experimentally 关15,17兴. The total number of experimental configurations required for measuring the quantum dynamics of n d-level quantum systems 共qudits兲 is d4n for bot ...
PyProp - A Python Framework for Propagating the Time
PyProp - A Python Framework for Propagating the Time

... By solving the equations of classical mechanics, scientists had huge success in predicting planetary trajectories, the motion of rigid bodies, etc. Despite this success, it became inceasingly clear towards the end of the 19th century that classical mechanics was not sufficient to describe motion on t ...
Deformation Quantization and Geometric Quantization of Abelian
Deformation Quantization and Geometric Quantization of Abelian

... induced by the flat connection defined by the heat equation, and see that it is a Toeplitz operator associated to a function on the square of Siegels Upper Half space. Lastly we investigate the Hilbert–Schmidt norm of Toeplitz operators, and prove an asymptotic result in the abelian case at hand. Ch ...
Spin Hamiltonians and Exchange interactions
Spin Hamiltonians and Exchange interactions

... When we write Si± = Six ±iSiy , we find commutation relations [Six , Siy ] = iSiz (also cyclic permutations of xyz) and indeed Ŝ is a vector. The spin’s length is S2i = S(S +1). Comparison to fermion and boson operators In Table 4.1.1, the spinless fermions/bosons are in discrete orbitals, with jus ...
Unit 2: Lorentz Invariance
Unit 2: Lorentz Invariance

... expect the following (2.26, rewritten slightly): where derivatives carry vector indices that transform in the appropriate way. This is the key result of the section: to impose a Lorentz Transformation, we don’t have to change the arguments and dependency variables of everything. We just have to use ...
as a PDF
as a PDF

... from the physical point of view of "charge deficiency": Consider a quantum system of (non-interacting) electrons where the Fermi energy is in a gap. We allow an infinitely large number of electrons below the Fermi energy. Now consider taking this system through a cycle, so that at the end of the cyc ...
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Self-adjoint operator

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