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  • 1. Arnlind, Joakim
    et al.
    Bordemann, Martin
    Hoppe, Jens
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Lee, Choonkyu
    Goldfish geodesics and hamiltonian reduction of matrix dynamics2008Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 84, nr 1, s. 89-98Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We describe the Hamiltonian reduction of a time-dependent real-symmetric NxN matrix system to free vector dynamics, and also provide a geodesic interpretation of Ruijsenaars-Schneider systems. The simplest of the latter, the goldfish equation, is found to represent a flat-space geodesic in curvilinear coordinates.

  • 2. Arnlind, Joakim
    et al.
    Choe, Jaigyoung
    Hoppe, Jens
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Noncommutative Minimal Surfaces2016Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 106, nr 8, s. 1109-1129Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We define noncommutative minimal surfaces in the Weyl algebra, and give a method to construct them by generalizing the well-known Weierstrass representation.

  • 3.
    Arnlind, Joakim
    et al.
    KTH, Tidigare Institutioner, Matematik.
    Hoppe, Jens
    KTH, Tidigare Institutioner, Matematik.
    Eigenvalue Dynamics off the Calogero-Moser system2004Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 68, nr 2, s. 121-129Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    By finding N(N-1)/2 suitable conserved quantities, free motions of real symmetric N x N matrices X(t), with arbitrary initial conditions, are reduced to nonlinear equations involving only the eigenvalues of X-in contrast to the rational Calogero-Moser system, for which [X(0), X(0)] has to be purely imaginary, of rank one.

  • 4.
    Atai, Farrokh
    et al.
    KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
    Hallnäs, Martin
    Langmann, Edwin
    KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
    Source Identities and Kernel Functions for Deformed (Quantum) Ruijsenaars Models2014Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 104, nr 7, s. 811-835Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We consider the relativistic generalization of the quantum A (N-1) Calogero-Sutherland models due to Ruijsenaars, comprising the rational, hyperbolic, trigonometric and elliptic cases. For each of these cases, we find an exact common eigenfunction for a generalization of Ruijsenaars analytic difference operators that gives, as special cases, many different kernel functions; in particular, we find kernel functions for Chalykh-Feigin-Veselov-Sergeev-type deformations of such difference operators which generalize known kernel functions for the Ruijsenaars models. We also discuss possible applications of our results.

  • 5. Borcea, Julius
    et al.
    Bränden, Petter
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Lee-Yang Problems and the Geometry of Multivariate Polynomials2008Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 86, nr 1, s. 53-61Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We describe all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in open circular domains. This completes the multivariate generalization of the classification program initiated by Polya-Schur for univariate real polynomials and provides a natural framework for dealing in a uniform way with Lee-Yang type problems in statistical mechanics, combinatorics, and geometric function theory.

  • 6.
    Ekholm, Tomas
    et al.
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.).
    Enblom, Andreas
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.).
    Critical Hardy-Lieb-Thirring Inequalities for Fourth-Order Operators in Low Dimensions2010Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 94, nr 3, s. 293-312Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    This paper considers Hardy-Lieb-Thirring inequalities for higher order differential operators. A result for general fourth-order operators on the half-line is developed, and the trace inequality tr((-Delta)(2)-C(d,2)(HR)1/vertical bar x vertical bar(4)-V(x))(-)(gamma)<= C-gamma integral V-Rd(x)(+)(gamma+d/4)dx, gamma >= 1 - d/4, where C-d,2(HR) the sharp constant in the Hardy-Rellich inequality and where C-gamma > 0 is independent of V. is proved for dimensions d = 1, 3. As a corollary of this inequality, a Sobolev-type inequality is obtained.

  • 7.
    Frank, Rupert
    et al.
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Laptev, Ari
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Lieb, Elliott H.
    Department of Physics, Princeton University.
    Seiringer, Robert
    Department of Physics, Princeton University.
    Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials2006Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 77, nr 3, s. 309-316Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrodinger operator with a complex-valued potential.

  • 8. Graf, G. M.
    et al.
    Hasler, D.
    Hoppe, Jens
    No zero energy states for the supersymmetric x(2)y(2) potential2002Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 60, nr 2, s. 191-196Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We show that the positive supersymmetric matrix-valued differential operator H = p(x)(2) + p(y)(2) + x(2)y(2) + xsigma(3) + ysigma(1) has no zero modes, i.e., Hpsi = 0 implies psi = 0. The result depends on a virial type argument for the corresponding supercharge. The model may be regarded as a simple relative of dimensional reductions of supersymmetric Yang Mills theories.

  • 9.
    Langmann, Edwin
    KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
    A Two-Dimensional Analogue of the Luttinger Model2010Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 92, nr 2, s. 109-124Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We present a fermion model that is, as we suggest, a natural 2D analogue of the Luttinger model. We derive this model as a partial continuum limit of a 2D spinless lattice fermion system with local interactions and away from half filling. In this derivation, we use certain approximations that we motivate by physical arguments. We also present mathematical results that allow an exact treatment of parts of the degrees of freedom of this model by bosonization, and we propose to treat the remaining degrees of freedom by mean field theory.

  • 10.
    Langmann, Edwin
    KTH, Tidigare Institutioner                               , Fysik.
    Anyons and the elliptic Calogero-Sutherland model2000Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 54, nr 4, s. 279-289Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We obtain a second quantization of the elliptic Calogero-Sutherland (eCS) model by constructing a quantum field theory model of anyons on a circle and at a finite temperature. This yields a remarkable identity involving anyon correlation functions and providing an algorithm for solving of the eCS model. The eigenfunctions obtained define an elliptic generalization of the Jack polynomials.

  • 11.
    Langmann, Edwin
    KTH, Skolan för teknikvetenskap (SCI), Fysik, Matematisk fysik. KTH, Skolan för teknikvetenskap (SCI), Fysik, Kondenserade materiens teori.
    Elementary Derivation of the Chiral Anomaly1996Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 6, s. 45-54Artikel i tidskrift (Refereegranskat)
  • 12.
    Langmann, Edwin
    KTH, Skolan för teknikvetenskap (SCI), Fysik, Matematisk fysik. KTH, Skolan för teknikvetenskap (SCI), Fysik, Kondenserade materiens teori.
    On current superalgebras and super-Schwinger terms1991Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, nr 1, s. 69-76Artikel i tidskrift (Refereegranskat)
  • 13.
    Langmann, Edwin
    KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
    Source Identity and Kernel Functions for Elliptic Calogero-Sutherland Type Systems2010Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 94, nr 1, s. 63-75Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    Kernel functions related to quantum many-body systems of Calogero-Sutherland type are discussed, in particular for the elliptic case. The main result is an elliptic generalization of an identity due to Sen that is a source for many such kernel functions. Applications are given, including simple exact eigenfunctions and corresponding eigenvalues of Chalykh-Feigin-Veselov-Sergeev-type deformations of the elliptic Calogero-Sutherland model for special parameter values.

  • 14.
    Lenells, Jonatan
    University of Cambridge, United Kingdom .
    A bi-Hamiltonian supersymmetric geodesic equation2008Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 85, nr 1, s. 55-63Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    A supersymmetric extension of the Hunter-Saxton equation is constructed. We present its bi-Hamiltonian structure and show that it arises geometrically as a geodesic equation on the space of superdiffeomorphisms of the circle that leave a point fixed endowed with a right-invariant metric.

  • 15.
    Lenells, Jonatan
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Absence of Solitons for the Defocusing NLS Equation on the Half-line2016Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 106, nr 9, s. 1235-1241Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    It has been conjectured that the defocusing nonlinear Schrodinger (NLS) equation on the half-line does not admit solitons. We give a proof of this conjecture.

  • 16.
    Lundholm, Douglas
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Weighted Supermembrane Toy Model2010Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 92, nr 2, s. 125-141Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    A weighted Hilbert space approach to the study of zero-energy states of supersymmetric matrix models is introduced. Applied to a related but technically simpler model, it is shown that the spectrum of the corresponding weighted Hamiltonian simplifies to become purely discrete for sufficient weights. This follows from a bound for the number of negative eigenvalues of an associated matrix-valued Schrodinger operator.

  • 17.
    Lundholm, Douglas
    et al.
    KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).
    Seiringer, Robert
    IST Austria, Campus 1, A-3400 Klosterneuburg, Austria..
    Fermionic behavior of ideal anyons2018Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 108, nr 11, s. 2523-2541Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter alpha. The lower bounds extend to Lieb-Thirring inequalities for all anyons except bosons.

  • 18.
    Mickelsson, Jouko
    KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
    Twisted K theory invariants2005Ingår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 71, nr 2, s. 109-121Artikel i tidskrift (Refereegranskat)
    Abstract [en]

    An invariant for twisted K theory classes on a 3-manifold is introduced. The invariant is then applied to the twisted equivariant classes arising from the supersymmetric Wess-Zumino-Witten model based on the group SU(2). It is shown that the classes defined by different highest weight representations of the loop group LSU(2) are inequivalent. The results are compatible with Freed-Hopkins-Teleman identification of twisted equivariant K theory as the Verlinde algebra.

1 - 18 av 18
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