scholarly journals Exactly solvable models through the empty-interval method

2001 ◽  
Vol 64 (5) ◽  
Author(s):  
M. Alimohammadi ◽  
M. Khorrami ◽  
A. Aghamohammadi
Keyword(s):  
Exactly Solvable Models ◽  
Solvable Models ◽  
Empty Interval ◽  
Interval Method ◽  
Exactly Solvable

scholarly journals EXACTLY SOLVABLE MODELS THROUGH THE GENERALIZED EMPTY INTERVAL METHOD: MULTI-SPECIES AND MORE-THAN-TWO-SITE INTERACTIONS

2004 ◽  
Vol 18 (14) ◽  
pp. 2047-2055 ◽  
Author(s):  
AMIR AGHAMOHAMMADI ◽  
MOHAMMAD KHORRAMI
Keyword(s):  
Reaction Diffusion ◽  
Solvable Models ◽  
Empty Interval ◽  
Interval Method ◽  
One Dimensional ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Exactly Solvable ◽  
Necessary And Sufficient ◽  
Time Evolution Equation

Multi-species reaction-diffusion systems, with more-than-two-site interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rates are obtained, that guarantee the closure of the time evolution equation for [Formula: see text], the expectation value of the product of certain linear combination of the number operators on n consecutive sites at time t.

scholarly journals Interaction between Different Kinds of Quantum Phase Transitions

2021 ◽  
Vol 3 (2) ◽  
pp. 253-261
Author(s):  
Angel Ricardo Plastino ◽  
Gustavo Luis Ferri ◽  
Angelo Plastino
Keyword(s):  
Phase Transitions ◽  
Nuclear Physics ◽  
Body Problem ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Many Body ◽  
Pairing Interaction ◽  
Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

scholarly journals Exactly solvable models in arbitrary dimensions

1998 ◽  
Vol 238 (4-5) ◽  
pp. 213-218 ◽  
Author(s):  
Ranjan Kumar Ghosh ◽  
Sumathi Rao
Keyword(s):  
Exactly Solvable Models ◽  
Solvable Models ◽  
Exactly Solvable ◽  
Arbitrary Dimensions

Exactly solvable models for trapped boson systems

2004 ◽  
Vol 243 (1-6) ◽  
pp. 131-143 ◽  
Author(s):  
J. Dukelsky ◽  
G.G. Dussel ◽  
S. Pittel
Keyword(s):  
Exactly Solvable Models ◽  
Solvable Models ◽  
Boson Systems ◽  
Exactly Solvable
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