Letters in Mathematical Physics
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Pseudodifferential Operators of Several Variables and Baker Functions
Letters in Mathematical Physics - Tập 60 - Trang 1-8 - 2002
The KP hierarchy consists of an infinite system of nonlinear partial differential equations and is determined by Lax equations, which can be constructed using pseudodifferential operators. The KP hierarchy and the associated Lax equations can be generalized by using pseudodifferential operators of several variables. We construct Baker functions associated to those generalized Lax equations of seve......
Examples of Twisted Cyclic Cocycles from Covariant Differential Calculi
Letters in Mathematical Physics - Tập 64 - Trang 245-254 - 2003
For two covariant differential *-calculi, the twisted cyclic cocycle associated with the volume form is represented in terms of commutators
$$\left[ {\mathcal{F},\rho \left( x \right)} \right]$$
for some self-adjoint operator
......
The existence of Solitons in Gauged Sigma Models with Broken Symmetry: Some Remarks
Letters in Mathematical Physics - Tập 40 - Trang 177-189 - 1997
We prove the existence of multisolitons in the gauged self-dual Maxwell and Chern–Simons sigma models with broken symmetry. In the context of topological solutions, the existence proofs rely on established results on earlier models. In the context of nontopological solutions with radial symmetry, the proof is by adapting a shooting argument.
Coulomb gas representation of the SU(2) WZW correlators at higher genera
Letters in Mathematical Physics - Tập 33 - Trang 335-345 - 1995
We extend a previous analysis to the case with insertion points. The result allows us to express the correlation functions of the SU(2) WZW conformal field theory on Riemann surfaces of genus > 1 by finite-dimensional integrals.
On the Spectrum of the Schrödinger Operator with Periodic Surface Potential
Letters in Mathematical Physics - Tập 52 - Trang 197-209 - 2000
We consider a discrete Schrödinger operator H=−Δ+V acting in l
2(
$$\mathbb{Z}$$
d
), with periodic potential V supported by the subspace ‘surface’ {0}×
$$\mathbb{Z}$$
......
On derivation Lie algebras of isolated complete intersection singularities
Letters in Mathematical Physics - Tập 113 - Trang 1-34 - 2023
In this paper, we introduce a new invariant to isolated complete intersection singularities. We use this new invariant to obtain two characterization theorems for contact simple complete intersection singularities.
On a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators
Letters in Mathematical Physics - Tập 1 Số 1 - Trang 57-66 - 1975
Positive similarity solutions for a discrete velocity boltzman coagulation-fragmentation model
Letters in Mathematical Physics - Tập 34 Số 1 - Trang 9-16 - 1995
Second-order integrable Lagrangians and WDVV equations
Letters in Mathematical Physics - Tập 111 - Trang 1-33 - 2021
We investigate the integrability of Euler–Lagrange equations associated with 2D second-order Lagrangians of the form
$$\begin{aligned} \int f(u_{xx},u_{xy},u_{yy})\ \mathrm{d}x\mathrm{d}y. \end{aligned}$$
By deriving integrability conditions for the Lagrangian density f, examples of integrable Lagr......
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