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Autor:
Hasler, D., Herbst, I.
We prove a general theorem about the self-adjointness and domain of Pauli-Fierz type Hamiltonians. Our proof is based on commutator arguments which allow us to treat fields with non-commuting components. As a corollary it follows that the domain of t
Externí odkaz:
http://arxiv.org/abs/0707.1713
Autor:
Griesemer, M., Hasler, D.
A new variant of the Feshbach map, called smooth Feshbach map, has been introduced recently by Bach et al., in connection with the renormalization analysis of non-relativistic quantum electrodynamics. We analyze and clarify its algebraic and analytic
Externí odkaz:
http://arxiv.org/abs/0704.3244
Publikováno v:
Annales Henri Poincare 6 (2005) 247-267
We consider the supersymmetric quantum mechanical system which is obtained by dimensionally reducing d=6, N=1 supersymmetric gauge theory with gauge group U(1) and a single charged hypermultiplet. Using the deformation method and ideas introduced by
Externí odkaz:
http://arxiv.org/abs/math-ph/0407020
We derive the first six coefficients of the heat kernel expansion for the electromagnetic field in a cavity by relating it to the expansion for the Laplace operator acting on forms. As an application we verify that the electromagnetic Casimir energy
Externí odkaz:
http://arxiv.org/abs/math-ph/0302035
Autor:
Hasler, D., Hoppe, J.
We give a simple - straightforward and rigorous - derivation that when the eigenvalues of one of the $d=9 (5,3,2)$ matrices in the SU(N) invariant supersymmetric matrix model become large (and well separated from each other) the ground-state wavefunc
Externí odkaz:
http://arxiv.org/abs/hep-th/0206043
We define an operator which for odd-dimensional compact gauge group furnishes unitary equivalence of the bosonic and fermionic sector in the supersymmetric quantum-mechanical matrix model obtained by dimensional reduction from 3-dimensional supersymm
Externí odkaz:
http://arxiv.org/abs/hep-th/0205285
We show that the positive supersymmetric matrix-valued differential operator H={p_x}^2 + {p_y}^2 + x^2y^2 + x\sigma_3 + y\sigma_1 has no zero modes, i.e., H \psi = 0 implies \psi =0.
Comment: 5 pages, 1 figure, LaTeX
Comment: 5 pages, 1 figure, LaTeX
Externí odkaz:
http://arxiv.org/abs/math-ph/0109032
Publikováno v:
Nucl.Phys. B567 (2000) 231-248
We derive the power law decay, and asymptotic form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the SU(2)-matrix model r
Externí odkaz:
http://arxiv.org/abs/hep-th/9904182
Akademický článek
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