Shifted 1/N expansion for confined quantum systems

2000 ◽  
Vol 78 (2) ◽  
pp. 141-152 ◽  
Author(s):  
Anjana Sinha ◽  
Rajkumar Roychoudhury ◽  
Y P Varshni
Keyword(s):  
Mechanical Systems ◽  
Expansion Method ◽  
Quantum Systems ◽  
Quantum Mechanical ◽  
Spherically Symmetric ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Screening Parameter ◽  
Quantum Mechanical Systems ◽  
Confined Quantum Systems

In this paper we formulate the shifted 1/N expansion method for constrained quantum mechanical systems with spherically symmetric potentials. As an example, we apply our technique to the confined Hulthén potential V(r) = –Zδ[e -δr/(1 –e-δr)] for different values of the confinement parameter b and the screening parameter δ. It is found that the agreement between our results and the exact numerical values is reasonably good.PACS No.: 03.65Ge

scholarly journals ${\mathcal N}$-FOLD SUPERSYMMETRIC QUANTUM MECHANICS WITH REFLECTIONS

2012 ◽  
Vol 27 (19) ◽  
pp. 1250102 ◽  
Author(s):  
TOSHIAKI TANAKA
Keyword(s):  
Quantum Mechanics ◽  
Hermitian Matrix ◽  
Mechanical Systems ◽  
Quantum Systems ◽  
Supersymmetric Quantum Mechanics ◽  
The Other ◽  
Quantum Mechanical ◽  
Quantum Mechanical Systems ◽  
Ordinary Quantum

We formulate [Formula: see text]-fold supersymmetry in quantum mechanical systems with reflection operators. As in the cases of other systems, they possess the two significant characters of [Formula: see text]-fold supersymmetry, namely, almost isospectrality and weak quasi-solvability. We construct explicitly the most general one- and two-fold supersymmetric quantum mechanical systems with reflections. In the case of [Formula: see text], we find that there are seven inequivalent such systems, three of which are characterized by three arbitrary functions having definite parity while the other four characterized by two arbitrary functions. In addition, four of the seven inequivalent systems do not reduce to ordinary quantum systems without reflections. Furthermore, in certain particular cases, they are essentially equivalent to the most general two-by-two Hermitian matrix two-fold supersymmetric quantum systems obtained previously by us.

THERMAL PHASES IN FINITE QUANTUM SYSTEMS

2003 ◽  
Vol 17 (28) ◽  
pp. 5093-5100
Author(s):  
D. J. DEAN
Keyword(s):  
Mechanical Systems ◽  
Quantum Systems ◽  
Quantum Mechanical ◽  
Body System ◽  
Many Body ◽  
Finite Quantum Systems ◽  
Quantum Mechanical Systems ◽  
Increasing Temperature

I will describe the behaviour of two different quantum-mechanical systems as a function of increasing temperature. While these systems are somewhat different, the questions addressed are very similar, namely, how does one describe transitions in phase of a finite many-body system; how does one recognise these transitions in practical calculations; and how may one obtain the order of the transition.

Sign in / Sign up

Export Citation Format

Share Document