Bootstrapping microcanonical ensemble in classical system
Yu Nakayama
Abstract
We point out that the bootstrap program in quantum mechanics proposed by Han et al. reduces to a bootstrap study of a microcanonical ensemble of the same Hamiltonian in the [Formula: see text] limit. In the limit, the quantum mechanical archipelago becomes an extremely thin line for an anharmonic oscillator. For a double-well potential, a peninsula in [Formula: see text] appears.
Topics & Concepts
PhysicsMicrocanonical ensembleBootstrapping (finance)AnharmonicityStatistical mechanicsHamiltonian (control theory)QuantumQuantum mechanicsClassical limitQuantum chaosStatistical physicsCanonical ensembleQuantum dynamicsStatisticsMonte Carlo methodMathematical optimizationFinancial economicsMathematicsEconomicsQuantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesStatistical Mechanics and Entropy