dorsal/arxiv
View SchemaStatistical properties of antisymmetrized molecular dynamics for non-nucleon-emission and nucleon-emission processes
| Authors | Akira Ono, Hisashi Horiuchi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9510065 |
| URL | https://arxiv.org/abs/nucl-th/9510065 |
| DOI | 10.1103/PhysRevC.53.2341 |
| Journal | Phys.Rev.C53:2341-2351,1996 |
Abstract
Statistical properties of the antisymmetrized molecular dynamics (AMD) are classical in the case of nucleon emission processes, while they are quantum mechanical for the processes without nucleon emission. We first clarify that there coexist mutually opposite two statistics in the AMD framework: One is the classical statistics of the motion of wave packet centroids and the other is the quantum statistics of the motion of wave packets which is described by the AMD wave function. We prove the classical statistics of wave packet centroids by using the framework of the microcanonical ensemble of the nuclear system. We show that the quantum statistics of wave packets emerges from the classical statistics of wave packet centroids. It is emphasized that the temperature of the classical statistics of wave packet centroids is different from the temperature of the quantum statistics of wave packets. We then explain that the statistical properties of AMD for nucleon emission processes are classical because nucleon emission processes in AMD are described by the motion of wave packet centroids. When we improve the description of the nucleon emission process so as to take into account the momentum fluctuation due to the wave packet spread, the AMD statistical properties for nucleon emission processes change drastically into quantum statistics. Our study of nucleon emission processes can be conversely regarded as giving another kind of proof of the fact that the statistics of wave packets is quantum mechanical while that of wave packet centroids is classical.
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"abstract": "Statistical properties of the antisymmetrized molecular dynamics (AMD) are\nclassical in the case of nucleon emission processes, while they are quantum\nmechanical for the processes without nucleon emission. We first clarify that\nthere coexist mutually opposite two statistics in the AMD framework: One is the\nclassical statistics of the motion of wave packet centroids and the other is\nthe quantum statistics of the motion of wave packets which is described by the\nAMD wave function. We prove the classical statistics of wave packet centroids\nby using the framework of the microcanonical ensemble of the nuclear system. We\nshow that the quantum statistics of wave packets emerges from the classical\nstatistics of wave packet centroids. It is emphasized that the temperature of\nthe classical statistics of wave packet centroids is different from the\ntemperature of the quantum statistics of wave packets. We then explain that the\nstatistical properties of AMD for nucleon emission processes are classical\nbecause nucleon emission processes in AMD are described by the motion of wave\npacket centroids. When we improve the description of the nucleon emission\nprocess so as to take into account the momentum fluctuation due to the wave\npacket spread, the AMD statistical properties for nucleon emission processes\nchange drastically into quantum statistics. Our study of nucleon emission\nprocesses can be conversely regarded as giving another kind of proof of the\nfact that the statistics of wave packets is quantum mechanical while that of\nwave packet centroids is classical.",
"arxiv_id": "nucl-th/9510065",
"authors": [
"Akira Ono",
"Hisashi Horiuchi"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.53.2341",
"journal_ref": "Phys.Rev.C53:2341-2351,1996",
"title": "Statistical properties of antisymmetrized molecular dynamics for non-nucleon-emission and nucleon-emission processes",
"url": "https://arxiv.org/abs/nucl-th/9510065"
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