Summary
We define and derive the probability of presence at a given point in space and time of a one-dimensional quantum system which interacts with an external system. The probability is expressed in terms of a double path integral which contains memory effects. We show that it is possible to get a simple compact algebraic expression of the probability as the continuum limit of a discretized form of the path integrals.
Riassunto
Si definisce e si deriva la probabilità della presenza in un determinato punto dello spazio e del tempo di un sistema quantico unidimensionale che interagisce con un sistema esterno. Si esprime la probabilità in termini di un doppio integrale di percorso che contiene effetti di memoria. Si mostra che è possibile ottenere una semplice espressione algebrica compatta della probabilità come limite continuo di una forma discretizzata degli integrali di percorso.
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Sami, T., Richert, J. Quantum probabilities in open dissipative systems: a path integral derivation. Nuov Cim A 93, 159–174 (1986). https://doi.org/10.1007/BF02819988
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DOI: https://doi.org/10.1007/BF02819988