An Infinite Ladder Coupled to a Quantum Mode; An Exactly Solvable Quantum Model

1990 ◽  
pp. 685-689
Author(s):  
M. Lindberg ◽  
E. Kyröla
Keyword(s):  
Quantum Model ◽  
Exactly Solvable ◽  
Solvable Quantum

scholarly journals Quantum Dynamics of the Early Universe

2018 ◽  
Vol 63 (3) ◽  
pp. 196
Author(s):  
V. E. Kuzmichev ◽  
V. V. Kuzmichev
Keyword(s):  
Energy Density ◽  
Early Universe ◽  
Quantum Dynamics ◽  
Quantum Model ◽  
Quantum Numbers ◽  
Accelerating Expansion ◽  
Exactly Solvable ◽  
Solvable Quantum ◽  
Expansion Of The Universe ◽  
The Universe

Quantum gravity may shed light on the prehistory of the universe. Quantum corrections to gravity affect the dynamics of the expansion of the universe. Their influence is studied on the example of the exactly solvable quantum model. The corrections to the energy density and pressure lead to the emergence of an additional attraction (like dark matter) or repulsion (like dark energy) in the quantum system of the gravitating matter and radiation. The model explains the accelerating expansion (inflation) in the early universe (the domain of comparatively small values of quantum numbers) and a later transition from the decelerating expansion to the accelerating one of the universe (the domain of very large values of quantum numbers) from a single approach. The generation of primordial fluctuations of the energy density at the expense of the change of a sign of the quantum correction to the pressure is discussed.

scholarly journals A new exactly solvable quantum model in N dimensions

2011 ◽  
Vol 375 (12) ◽  
pp. 1431-1435 ◽  
Author(s):  
Ángel Ballesteros ◽  
Alberto Enciso ◽  
Francisco J. Herranz ◽  
Orlando Ragnisco ◽  
Danilo Riglioni
Keyword(s):  
Quantum Model ◽  
Exactly Solvable ◽  
Solvable Quantum

scholarly journals QUASI-EXACTLY-SOLVABLE QUANTUM LATTICE SOLITONS

2006 ◽  
Vol 21 (06) ◽  
pp. 1221-1238
Author(s):  
YVES BRIHAYE ◽  
NATHALIE DEBERGH ◽  
ANCILLA NININAHAZWE
Keyword(s):  
Coupling Constant ◽  
Quantum Lattice ◽  
Exactly Solvable ◽  
Solvable Quantum

We extend the exactly solvable Hamiltonian describing f quantum oscillators considered recently by J. Dorignac et al. We introduce a new interaction which we choose to be quasi-exactly solvable. The properties of the spectrum of this new Hamiltonian are studied as functions of the new coupling constant. We point out that both the original and the by us modified Hamiltonians are related to adequate Lie structures.

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