Functional approach for quantum systems with continuous spectrum

Considering quantum states as functionals acting on observables to give their mean values, it is possible to deal with quantum systems with continuous spectrum, generalizing the concept of trace. Generalized observables and states are defined for a quantum oscillator linearly coupled to a scalar fie...

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Detalles Bibliográficos
Autores principales: Laura, R., Castagnino, M.
Formato: JOUR
Materias:
Boundary conditions
Brownian movement
Eigenvalues and eigenfunctions
Numerical methods
Statistical mechanics
Continuous spectrum
Master equation
Quantum oscillator
Quantum systems
Quantum theory
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v57_n4_p3948_Laura
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:Considering quantum states as functionals acting on observables to give their mean values, it is possible to deal with quantum systems with continuous spectrum, generalizing the concept of trace. Generalized observables and states are defined for a quantum oscillator linearly coupled to a scalar field, and the analytic expression for time evolution is obtained. The “final” state [formula presented] is presented as a weak limit. Finite and infinite numbers of excited modes of the field are considered. © 1998 The American Physical Society.

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