Entropy, Topological Theories and Emergent Quantum Mechanics

[EN] The classical thermostatics of equilibrium processes is shown to possess a quantum mechanical dual theory with a finite dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relatio...

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Detalles Bibliográficos
Autores: Cabrera, D., Vazquez Molina, J., Fernández de Córdoba, Pedro|||0000-0002-0347-7280, Isidro, J.M.|||0000-0002-0720-9945
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/103998
Acceso en línea:https://riunet.upv.es/handle/10251/103998
Access Level:acceso abierto
Palabra clave:Emergence of quantum theory
Topological field theory
MATEMATICA APLICADA
TERMODINAMICA APLICADA (UPV)
Descripción
Sumario:[EN] The classical thermostatics of equilibrium processes is shown to possess a quantum mechanical dual theory with a finite dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relation of thermostatics to topological field theory is also discussed in the context of the approach of the emergence of quantum theory, where the concept of entropy plays a key role.