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24

Sep 19, 2013
09/13

by
F. Bernasconi; G. M. Graf; D. Hasler

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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 is finite.

Source: http://arxiv.org/abs/math-ph/0302035v1

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48

Sep 23, 2013
09/13

by
G. M. Graf; D. Hasler; J. Hoppe

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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.

Source: http://arxiv.org/abs/math-ph/0109032v1

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38

Sep 21, 2013
09/13

by
L. Erdos; D. Hasler; J. P. Solovej

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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 Porrati and Rozenberg, we present a detailed proof of the existence of a normalizable ground state for this system.

Source: http://arxiv.org/abs/math-ph/0407020v1

53
53

Sep 18, 2013
09/13

by
D. Hasler; I. Herbst

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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 the Hamiltonian of non-relativistic QED with Coulomb interactions is independent of the coupling constant.

Source: http://arxiv.org/abs/0707.1713v1

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3.0

Aug 2, 2021
08/21

by
Arthur D Hasler

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53
53

Sep 18, 2013
09/13

by
M. Griesemer; D. Hasler

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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 properties, and we generalize it to non-selfadjoint partition operators $\chi$ and $\chib$.

Source: http://arxiv.org/abs/0704.3244v1

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43

Sep 22, 2013
09/13

by
G. M. Graf; D. Hasler; J. Hoppe

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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 supersymmetric Yang-Mills theory.

Source: http://arxiv.org/abs/hep-th/0205285v1

69
69

Sep 19, 2013
09/13

by
D. Hasler; J. Hoppe

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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 wavefunction (resp. asymptotic zero-energy solution of the corresponding differential equation) factorizes, for all $N>1$, into a product of supersymmetric harmonic oscillator wavefunctions (involving the `off-diagonal' degrees of freedom) and a...

Source: http://arxiv.org/abs/hep-th/0206043v1

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46

Sep 23, 2013
09/13

by
J. Froehlich; G. M. Graf; D. Hasler; J. Hoppe; S. -T. Yau

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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 related to supermembranes in d+2 dimensions.

Source: http://arxiv.org/abs/hep-th/9904182v2