Relevant bibliographies by topics / Hilbert space. Vector spaces. Particles, Relativistic

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Hilbert space. Vector spaces. Particles, Relativistic'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Hilbert space. Vector spaces. Particles, Relativistic"

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KALDASS, H., A. BOHM, and S. WICKRAMASEKARA. "RESONANCE STATES FROM POLES OF THE RELATIVISTIC S-MATRIX." International Journal of Modern Physics A 17, no. 26 (2002): 3749–78. http://dx.doi.org/10.1142/s0217751x02010868.

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A state vector description for relativistic resonances is derived from the first order pole of the jth partial S-matrix at the invariant square mass value [Formula: see text] in the second sheet of the Riemann energy surface. To associate a ket, called Gamow vector, to the pole, we use the generalized eigenvectors of the four-velocity operators in place of the customary momentum eigenkets of Wigner, and we replace the conventional Hilbert space assumptions for the in- and out-scattering states with the new hypothesis that in- and out-states are described by two different Hardy spaces with comp
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Landsman, N. P. Klaas. "Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles." Reviews in Mathematical Physics 28, no. 09 (2016): 1650019. http://dx.doi.org/10.1142/s0129055x16500197.

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We reconsider the (non-relativistic) quantum theory of indistinguishable particles on the basis of Rieffel’s notion of [Formula: see text]-algebraic (“strict”) deformation quantization. Using this formalism, we relate the operator approach of Messiah and Greenberg (1964) to the configuration space approach pioneered by Souriau (1967), Laidlaw and DeWitt-Morette (1971), Leinaas and Myrheim (1977), and others. In dimension [Formula: see text], the former yields bosons, fermions, and paraparticles, whereas the latter seems to leave room for bosons and fermions only, apparently contradicting the o
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DIGERNES, TROND, V. S. VARADARAJAN, and D. E. WEISBART. "SCHRÖDINGER OPERATORS ON LOCAL FIELDS: SELF-ADJOINTNESS AND PATH INTEGRAL REPRESENTATIONS FOR PROPAGATORS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 11, no. 04 (2008): 495–512. http://dx.doi.org/10.1142/s0219025708003294.

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We consider quantum systems that have as their configuration spaces finite-dimensional vector spaces over local fields. The quantum Hilbert space is taken to be a space with complex coefficients and we include in our model particles with internal symmetry. The Hamiltonian operator is a pseudo-differential operator that is initially only formally defined. For a wide class of potentials we prove that this Hamiltonian is well-defined as an unbounded self-adjoint operator. The free part of the operator gives rise to a measure on the Skorokhod space of paths, D [0, ∞), and with respect to this meas
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"From Quantum Field Theory to the Contemporary Quantum Mechanics." Advances in Theoretical & Computational Physics 2, no. 4 (2019). http://dx.doi.org/10.33140/atcp.02.04.13.

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In this talk we remind how the notion of the so-called clothed particles, put forward in relativistic quantum field theory by Greenberg and Schweber, can be used via the method of unitary clothing transformations (shortly, the UCT method) when finding the eigenstates of the total Hamiltonian H in case of interacting fields with the Yukawa - type couplings. In general, the UCT method is aimed at reduction of the exact eigenvalue problem in the primary Fock space to the model-space problems in the corresponding Hilbert spaces of the contemporary quantum mechanics. In this context we consider an
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Stefanescu, Eliade. "Matter Dynamics in a Unitary Relativistic Quantum Theory." Edelweiss Chemical Science Journal, November 26, 2019, 27–39. http://dx.doi.org/10.33805/2641-7383.112.

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We describe the matter dynamics as a positively defined density and show that, according to the general theory of relativity, such a distribution can be conceive only as of a fragment of matter with a finite mass equal to a mass , as a characteristic of the matter dynamics, – the matter quantization. The group velocities of the Fourier conjugate representations in the coordinate and momentum spaces describe the dynamics of a quantum particle in agreement with the Hamiltonian equations. Under the action of an external (non-gravitational) field, the acceleration of the quantum matter has two com
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Dissertations / Theses on the topic "Hilbert space. Vector spaces. Particles, Relativistic"

1

Kaldas, Hany Kamel Halim. "Relativistic Gamow vectors : state vectors for unstable particles /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004300.

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Book chapters on the topic "Hilbert space. Vector spaces. Particles, Relativistic"

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Zinn-Justin, Jean. "Quantum statistical physics: Functional integration formalism." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0004.

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The functional integral representation of the density matrix at thermal equilibrium in non-relativistic quantum mechanics (QM) with many degrees of freedom, in the grand canonical formulation is introduced. In QM, Hamiltonians H(p,q) can be also expressed in terms of creation and annihilation operators, a method adapted to the study of perturbed harmonic oscillators. In the holomorphic formalism, quantum operators act by multiplication and differentiation on a vector space of analytic functions. Alternatively, they can also be represented by kernels, functions of complex variables that correspond in the classical limit to a complex parametrization of phase space. The formalism is adapted to the description of many-body boson systems. To this formalism corresponds a path integral representation of the density matrix at thermal equilibrium, where paths belong to complex spaces, instead of the more usual position–momentum phase space. A parallel formalism can be set up to describe systems with many fermion degrees of freedom, with Grassmann variables replacing complex variables. Both formalisms can be generalized to quantum gases of Bose and Fermi particles in the grand canonical formulation. Field integral representations of the corresponding quantum partition functions are derived.
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