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Group Theoretical Approach to the Intertwined Hamiltonians
We show that the finite difference Bäcklund formula for the Schrödinger Hamiltonians is a particular element of the transformation group on the set of Riccati.
[ 1-s2.0-S0003491601961792-main.pdf?_tid=3b4fea4e-07df-11e5-965b-00000aacb35d&acdnat=1433109286_95a6945a75dde455cfede1fb9b894c39 - Read/Download File

Group theoretical approach to the intertwined Hamiltonians
Group theoretical approach to the intertwined Hamiltonians. José F. Cari˜nena and Arturo Ramos. Departamento de Fısica Teórica. Facultad de Ciencias.
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Group theoretical approach to the intertwined Hamiltonians
Nov 20, 2003 ... Group theoretical approach to the intertwined Hamiltonians. José F. Cari˜nena and Arturo Ramos. Departamento de Fısica Teórica. Facultad de ...
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Sistemas de Lie y sus aplicaciones en F\'{\ i} sica y Teor\'{\ i} a de
Jun 19, 2011 ... We found that such transformations had a group theoretical origin, since they .... 5 Group theoretical approach to the intertwined Hamiltonians.
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New rational extensions of solvable potentials with finite bound state
Mar 19, 2012 ... This approach which is systematic and generalizes the usual SUSY QM ...... “ Group theoretical approach to the intertwined hamiltonians”, Ann.
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Solvable rational extensions of the Morse and Kepler-Coulomb
Mar 25, 2011 ... In [21] we have developped a new approach which allows to ...... “Group theoretical approach to the intertwined hamiltonians”, Ann. Phys.,.
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Concepts relating magnetic interactions, intertwined electronic
Oct 29, 2013 ... SC phases, intertwined electronic ordered phases (IP) of an unex- .... We apply this theory to explain the superconductivity, ... Hamiltonian for strong Coulomb interactions, and our strategy is to .... our approach, the leading Q = 0 instability is to a nematic state. The .... the point group symmetry of the crystal.
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A short proof of the Gaillard-Matveev theorem based on shape - Hal
Nov 11, 2012 ... hamiltonian ̂H(a) = −d2/dx2 + V (x; a), x ∈ I ⊂ R, (a ∈ Rm being a ...... “Group theoretical approach to the intertwined hamiltonians”, Ann.
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A New Geometric Approach to Lie Systems and Physical - Springer
These systems are shown to be related with equations on a Lie group and with ... The theory is illustrated with some applications in both classical and quantum mechanics. Lie systems time-dependent Hamiltonians classical and quantum evolution ... A.: Group theoretical approach to the intertwined Hamiltonians, Ann. Phys.
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Department of Theoretical Physics, University of Sankt-Petersburg, 198504 Sankt -Peters- ... operators intertwine the matrix Hamiltonians corresponding to irreducible ... The connection with approach of multidimensional supersymmetric quantum .... Let us consider an irreducible representation A of the permutation group SN.
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The Algebras of Large N Matrix Mechanics
Sep 16, 1999 ... cluding Matrix theory: The Hamiltonian framework of large N matrix ... or Cuntz algebras in the large N limit are also intertwined chronologically with the ... transition from the early work, we give here a brief review of the approach. .... as the gauge group of the theory, whether the symmetry is gauged or not.
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Download (123Kb) - Philsci-Archive
forms of underdetermination are discussed and an approach emphasizing the relevant structural ..... and group theory to effectively 'twist' that everyday metaphysics to .... evolution (Hamiltonian) can be considered as intertwined ( Belot, op. cit.).
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Renormalization without infinities – an elementary tutorial
the renormalization group, and renormalization scheme dependent results at any ... approach to quantum field theory; see Grigore [33] for an overview, and for ... of much simpler quantum systems, if these have a singular Hamiltonian. ...... also ill- defined, as they intertwine between ill-defined and well-behaving objects.
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Quadratic Algebra Approach to an Exactly Solvable Position
May 17, 2007 ... recent theories describing superintegrable two-dimensional ... tertwining operators and shown that with a pair (H, H1) of intertwined Hamiltonians we can ...... [11] Alhassid Y., Gürsey F., Iachello F., Group theory approach to ...
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Von Neumann algebra automorphisms and time - Alain Connes
Jun 14, 1994 ... parameter group of automorphisms of the observable algebra, from a generic ... Our approach is based on a key structural property of von Neumann alge- bras. ... covariant theory, a hamiltonian H is given and the equilibrium thermal states ..... and the notion of a time flow are deeply intertwined is as old as ...
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Relative Locality, with and without gravity - Dipartimento di Fisica
Oct 31, 2014 ... 3.2 Special Relativity as a Lie Group theory . . . . . . . . . . . . . . . . 18. 3.2.1 Hamiltonian approach . ... 3.4.2 DSR and the Hopf algebra approach . ..... redshift and dual redshift, and that these features are deeply intertwined.
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Intertwined isospectral potentials in an arbitrary dimension
order differential operator and Hamiltonians are in the standard potential forms. ... These approaches are expected to produce solvable 1D n-particle problems ..... On the other hand, from group theoretical point of view Eq. (52) means that the ...
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Symmetry in Chemistry from the Hydrogen Atom to Proteins - JStor
New approaches such as rigid- nonrigid correlation, vibrons, and quantum groups suggest a unified view of ... elementary particles, and even more ambitiously a Theory of. Everything. ...... In the quantum group approach, a Hamiltonian is obtained which is .... believed to be intertwined in a fundamental way. Theories of ...
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Lie-group methods - Julian Oliver
novel theory of numerical integrators that respect Lie-group structure, high- ... integration is that this approach, although tempting, is at best incomplete, at worst ... occurred along parallel, intertwined tracks: both better theoretical ... the underlying Hamiltonian system can be rendered in the form (1.1), where Y is tridiagonal ...
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A Selective History of the Stone-von Neumann Theorem
The names of Stone and von Neumann are intertwined in what is now known as .... which as Dirac pointed out, is founded on a formalism derived from Hamiltonian mechanics. .... A second question of group theory, to which we can apply the ..... The original approach of Mackey to Theorems 3.1 and 3.2 depended on a fair.
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