Symmetry transformation in extended phase space: the harmonic oscillator in the Husimi representation.
Bahrami, Samira, Nasiri, Sadolah (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Bahrami, Samira, Nasiri, Sadolah (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Schuch, Dieter (2008)
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Quantum annealing, or quantum stochastic optimization, is a classical randomized algorithm which provides good heuristics for the solution of hard optimization problems. The algorithm, suggested by the behaviour of quantum systems, is an example of proficuous cross contamination between classical and quantum computer science. In this survey paper we illustrate how hard combinatorial problems are tackled by quantum computation and present some examples of the heuristics provided by quantum...
Robert, Didier (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 81Q60, 35Q40. A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert operator [¯] = [(∂2)/( ∂t2)] − Δx is replaced by fourth order operator [¯]([¯]...