scholarly journals Irreversible evolution of a wave packet in the rigged-Hilbert-space quantum mechanics

2016 ◽  
Vol 94 (5) ◽  
Author(s):  
Giulia Marcucci ◽  
Claudio Conti
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Wave Packet ◽  
Rigged Hilbert Space ◽  
Irreversible Evolution

MEASUREMENT, IRREVERSIBILITY AND DECOHERENCE IN QUANTUM MECHANICS

1994 ◽  
Vol 09 (22) ◽  
pp. 3913-3924
Author(s):  
BELAL E. BAAQUIE
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Quantum System ◽  
Quantum Measurement ◽  
State Vector ◽  
Space Time ◽  
Measuring Apparatus ◽  
Rigged Hilbert Space ◽  
Friedrichs Model ◽  
Time Irreversibility

We review Prigogine's model of quantum measurement. The measuring apparatus is considered to be an unstable quantum system with its state vector belonging to a rigged Hilbert space. Time irreversibility arises due to the dissipative nature of the measuring apparatus (an unstable quantum system) which induces decoherence in the system being measured. Friedrichs' model is used to concretely illustrate these ideas.

scholarly journals Quantum Mechanics and Its Evolving Formulations

Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 124
Author(s):  
Jean-Pierre Antoine
Keyword(s):  
Hilbert Space ◽  
Quantum Mechanics ◽  
Time Evolution ◽  
Von Neumann ◽  
Rigged Hilbert Space ◽  
Space Formulation ◽  
Space Approach

In this paper, we discuss the time evolution of the quantum mechanics formalism. Starting from the heroic beginnings of Heisenberg and Schrödinger, we cover successively the rigorous Hilbert space formulation of von Neumann, the practical bra-ket formalism of Dirac, and the more recent rigged Hilbert space approach.

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