Tensor Product Methods and Entanglement
... other many-particle systems, e.g., spin systems, alternative representations have been proposed, resulting in the development of so-called matrix product states (MPS).[18–21] The MPS method represents the wavefunction of a system of d components or “sites” (corresponding, e.g., to molecular orbitals ...
... other many-particle systems, e.g., spin systems, alternative representations have been proposed, resulting in the development of so-called matrix product states (MPS).[18–21] The MPS method represents the wavefunction of a system of d components or “sites” (corresponding, e.g., to molecular orbitals ...
Quantum Mechanics for Pedestrians 1: Fundamentals
... Certainly, there may be different answers to this question. After all, quantum mechanics is such a broad field that a single textbook cannot cover all the relevant topics. A selection or prioritization of subjects is necessary per se and, moreover, the physical and mathematical foreknowledge of the ...
... Certainly, there may be different answers to this question. After all, quantum mechanics is such a broad field that a single textbook cannot cover all the relevant topics. A selection or prioritization of subjects is necessary per se and, moreover, the physical and mathematical foreknowledge of the ...
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... “Spinless” p-wave superconductors Now, slowly turn on the pairing Total Hamiltonian becomes ...
... “Spinless” p-wave superconductors Now, slowly turn on the pairing Total Hamiltonian becomes ...
QUANTUM MECHANICS B PHY-413 Note Set No. 7
... exact or approximate spherical symmetry. This, together with angular momentum’s association with rotation, demands that we consider writing down the angular momentum operators in spherical polar coordinates; this also leads to a great simplification and a recognition that the orbital angular momentu ...
... exact or approximate spherical symmetry. This, together with angular momentum’s association with rotation, demands that we consider writing down the angular momentum operators in spherical polar coordinates; this also leads to a great simplification and a recognition that the orbital angular momentu ...
Haag`s Theorem in Renormalisable Quantum Field Theories
... • First, all approaches to construct quantum field models in a way seen as mathematically sound and rigorous employ methods from operator theory and stochastic analysis, the latter only in the Euclidean case. This is certainly natural given the corresponding heuristically very successful notions use ...
... • First, all approaches to construct quantum field models in a way seen as mathematically sound and rigorous employ methods from operator theory and stochastic analysis, the latter only in the Euclidean case. This is certainly natural given the corresponding heuristically very successful notions use ...
Boundary conditions for integrable quantum systems
... boundary conditions. As regards the systems on the finite interval with independent boundary conditions on each end, only a few cases solved either by the coordinate Bethe ansatz or directly are described in the literature. These are the Bose (Gaudin 1971, 1983) and Fermi gases (Woynarovich 1985), t ...
... boundary conditions. As regards the systems on the finite interval with independent boundary conditions on each end, only a few cases solved either by the coordinate Bethe ansatz or directly are described in the literature. These are the Bose (Gaudin 1971, 1983) and Fermi gases (Woynarovich 1985), t ...
REFLECTION POSITIVITY, RANK
... 2.2. Connection matrices of a graph parameter. A graph parameter is a function on finite graphs (invariant under graph isomorphism). We allow multiple edges in our graphs, but no loops. A graph parameter f is called multiplicative, if for the disjoint union G1 ∪G2 of two graphs G1 and G2 , we have f ...
... 2.2. Connection matrices of a graph parameter. A graph parameter is a function on finite graphs (invariant under graph isomorphism). We allow multiple edges in our graphs, but no loops. A graph parameter f is called multiplicative, if for the disjoint union G1 ∪G2 of two graphs G1 and G2 , we have f ...
Daniel Adam Roberts - School of Natural Sciences
... In many of my papers, acknowledgments have been a space for sincere thanks, literal acknowledgments (of funding sources), and hidden jokes. This is made possible by the fact that in all of my papers, the acknowledgments have come at the end. In this work, we are instructed to do things sdrawkcab. It ...
... In many of my papers, acknowledgments have been a space for sincere thanks, literal acknowledgments (of funding sources), and hidden jokes. This is made possible by the fact that in all of my papers, the acknowledgments have come at the end. In this work, we are instructed to do things sdrawkcab. It ...
Quantum Information with Fermionic Gaussian States - Max
... Many models of high physical relevance are diagonalizable using Bogoliubov transformation. Let us mention for example Hubbard models or mean-field theory in the first approximation of BCS superconductivity theory. The ground state of quadratic Hamiltonian (2.11) that describe definite set of quasi-p ...
... Many models of high physical relevance are diagonalizable using Bogoliubov transformation. Let us mention for example Hubbard models or mean-field theory in the first approximation of BCS superconductivity theory. The ground state of quadratic Hamiltonian (2.11) that describe definite set of quasi-p ...
Bachelor Thesis - Institut für Analysis und Scientific Computing
... Introduction and historical aspects Different forms of knots have been known since long ago. They had technical applications, like in shipping, or weaving. More interesting and in particular aesthetically pleasing were the mystic symbols in many cultures. Famous examples are the sign of the pythago ...
... Introduction and historical aspects Different forms of knots have been known since long ago. They had technical applications, like in shipping, or weaving. More interesting and in particular aesthetically pleasing were the mystic symbols in many cultures. Famous examples are the sign of the pythago ...
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... h was a new constant called Planck’s constant, given by h 6.626 1034 J s 4.136 1015 eV s. This is the basis of the modern photomultiplier, a device that is capable of detecting individual particles of light, also known as photons. We aren’t really interested in the inner workings of a re ...
... h was a new constant called Planck’s constant, given by h 6.626 1034 J s 4.136 1015 eV s. This is the basis of the modern photomultiplier, a device that is capable of detecting individual particles of light, also known as photons. We aren’t really interested in the inner workings of a re ...
- City Research Online
... have ExtiG (V, W ) = ExtiPol (V, W ), by [10], Section 4,(5). For G-modules V, W we shall often simply write Exti (V, W ) for ExtiG (V, W ), though occasionally write ExtiG (V, W ) or ExtiPol (V, W ), as appropriate, for emphasis. We shall also write simply Ext(V, W ) for Ext1G (V, W ). In the case ...
... have ExtiG (V, W ) = ExtiPol (V, W ), by [10], Section 4,(5). For G-modules V, W we shall often simply write Exti (V, W ) for ExtiG (V, W ), though occasionally write ExtiG (V, W ) or ExtiPol (V, W ), as appropriate, for emphasis. We shall also write simply Ext(V, W ) for Ext1G (V, W ). In the case ...
Ph125: Quantum Mechanics
... states; for example, if a classical particle only has access to classical state 1 with phase space coordinates (x1 , p1 ) and classical state 2 with (x2 , p2 ), the particle can only be in one or the other; there is no way to “combine” the two states. Another way of saying this is that quantum mecha ...
... states; for example, if a classical particle only has access to classical state 1 with phase space coordinates (x1 , p1 ) and classical state 2 with (x2 , p2 ), the particle can only be in one or the other; there is no way to “combine” the two states. Another way of saying this is that quantum mecha ...
