Exact solutions for a class of quasi-exactly solvable models: A unified treatment

2017 ◽  
Vol 132 (7) ◽  
Author(s):  
N. Hatami ◽  
M. R. Setare
Keyword(s):  
Exact Solutions ◽  
Exactly Solvable Models ◽  
Solvable Models ◽  
Exactly Solvable

scholarly journals BOULWARE STATE IN EXACTLY SOLVABLE MODELS OF 2D DILATON GRAVITY

2006 ◽  
Vol 21 (30) ◽  
pp. 2283-2290
Author(s):  
O. B. ZASLAVSKII
Keyword(s):  
Numerical Methods ◽  
Exact Solutions ◽  
Back Reaction ◽  
Exactly Solvable Models ◽  
Dilaton Gravity ◽  
Solvable Models ◽  
Exactly Solvable ◽  
Self Consistent ◽  
Classical Singularity ◽  
And Behavior

We discuss self-consistent geometries and behavior of dilaton in exactly solvable models of 2D dilaton gravity, with quantum fields in the Boulware state. If the coupling H(ϕ) between curvature and dilaton ϕ is non-monotonic, back-reaction can remove the classical singularity. As a result, an everywhere regular star-like configuration may appear, in which case the Boulware state, contrary to expectations, smooths out the system. For monotonic H(ϕ), exact solutions confirm the features found before with the help of numerical methods: the appearance of the bouncing point and the presence of isotropic singularity at the classically forbidden branch of the dilaton.

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

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
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