Confined quantum systems and their limits

2009 ◽  
Vol 50 (2) ◽  
pp. 022101 ◽  
Author(s):  
Francesco Belgiorno ◽  
Franco Gallone
Keyword(s):  
Quantum Systems ◽  
Confined Quantum Systems

WKB quantization rules for three-dimensional confinement

2001 ◽  
Vol 79 (6) ◽  
pp. 939-946 ◽  
Author(s):  
A Sinha ◽  
R Roychoudhury ◽  
Y P Varshni
Keyword(s):  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Reasonable Agreement ◽  
Three Dimensional ◽  
Quantum Systems ◽  
The Past ◽  
Two Systems ◽  
Mathematical Techniques ◽  
Confined Quantum Systems ◽  
Quantization Rules

Confined quantum systems have been studied by various authors over the past decades, by using various mathematical techniques. In this work, we derive the WKB quantization rules for quantum systems confined in an impenetrable spherical box of radius r0. We apply the proposed method to two systems explicitly, viz., the confined harmonic oscillator and the confined hydrogen atom. The results are found to be in reasonable agreement with those obtained by other methods. PACS No.: 03.65

scholarly journals Embedding method for confined quantum systems

1995 ◽  
Vol 51 (11) ◽  
pp. 7318-7320 ◽  
Author(s):  
S. Crampin ◽  
M. Nekovee ◽  
J. E. Inglesfield
Keyword(s):  
Quantum Systems ◽  
Embedding Method ◽  
Confined Quantum Systems

Confined quantum systems: The parabolically confined hydrogen atom

1998 ◽  
Vol 31 (19) ◽  
pp. 4493-4520 ◽  
Author(s):  
D S Krähmer ◽  
W P Schleich ◽  
V P Yakovlev
Keyword(s):  
Hydrogen Atom ◽  
Quantum Systems ◽  
Confined Quantum Systems
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