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Quantum Torus Wave Function(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2010年03期
Page:
32-39
Research Field:
物理学
Publishing date:

Info

Title:
Quantum Torus Wave Function
Author(s):
Yang Shuangbo
School of Physics and Technology,Nanjing Normal University,Nanjing 210046,China
Keywords:
torus;  canto rus;  assignment;  dynam ical tunne ling
PACS:
O413.1
DOI:
-
Abstract:
Fo r two k inetica lly coup led identica lM orse oscillator system, th is paper introduced the concept o f quantum torus w ave function. Quantum to rus w ave function com es from the decom position o f a quantum w ave func tion of the system. It re flects the symm etry of the quantum w ave function. Physically, it co rresponds to a quantizing torus o r a quant-i zing can to rus ( when it ex ists) in phase space. The number o f nodes in x and y coord inates in the contour p lot, be ing the sam e as the quantum number in the E inste in-B rillou in-Ke ller ( EBK) quantization conditions, is the na tura l assignm ent o f the g iven energy leve.l W hen quantizing to rus or cantorus is destroyed by w eak resonances in phase space, using quantum torus wave func tion to assign energy leve l is easie r and reasonab le. Th is paper a lso show s the app lication o f quantum torus wave func tion in the study of dynam ical tunneling.

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Last Update: 2013-04-08