A condition for nonnegativity of an operator related to the Dirichlet operator

1993 ◽  
Vol 64 (5) ◽  
pp. 1143-1146
Author(s):  
O. G. Storozh
Keyword(s):  
Dirichlet Operator

DIFFEOMORPHISM GROUPS AND CURRENT ALGEBRAS: CONFIGURATION SPACE ANALYSIS IN QUANTUM THEORY

1999 ◽  
Vol 11 (01) ◽  
pp. 1-23 ◽  
Author(s):  
S. ALBEVERIO ◽  
YU. G. KONDRATIEV ◽  
M. RÖCKNER
Keyword(s):  
Differential Geometry ◽  
Quantum Theory ◽  
Configuration Space ◽  
Current Algebra ◽  
Relativistic Quantum ◽  
Unitary Representations ◽  
Poisson Measure ◽  
Diffeomorphism Groups ◽  
Dirichlet Operator ◽  
Space Analysis

The constuction of models of non-relativistic quantum fields via current algebra representations is presented using a natural differential geometry of the configuration space Γ of particles, the corresponding classical Dirichlet operator associated with a Poisson measure on Γ, being the free Hamiltonian. The case with interactions is also discussed together with its relation to the problem of unitary representations of the diffeomorphism group on ℝd.

The Fučík spectrum of the discrete Dirichlet operator

2018 ◽  
Vol 553 ◽  
pp. 58-103 ◽  
Author(s):  
Iveta Looseová ◽  
Petr Nečesal
Keyword(s):  
Dirichlet Operator ◽  
Fučík Spectrum ◽  
Fučik Spectrum ◽  
Fucik Spectrum

Recovering a potential in damped wave equation from Neumann-to-Dirichlet operator

2020 ◽  
Vol 36 (11) ◽  
pp. 115011
Author(s):  
Vladimir Romanov ◽  
Alemdar Hasanov
Keyword(s):  
Wave Equation ◽  
Damped Wave Equation ◽  
Dirichlet Operator
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