Specific quantum mechanical solution of difference equation of hyperbolic type

2014 ◽  
Vol 19 (5) ◽  
pp. 1313-1328 ◽  
Author(s):  
Jovan P. Šetrajčić ◽  
Stevo K. Jaćimovski ◽  
Vjekoslav D. Sajfert ◽  
Igor J. Šetrajčić
Keyword(s):  
Difference Equation ◽  
Hyperbolic Type ◽  
Quantum Mechanical ◽  
Quantum Mechanical Solution ◽  
Specific Quantum

scholarly journals Matrix models and deformations of JT gravity

2020 ◽  
Vol 476 (2244) ◽  
pp. 20200582
Author(s):  
Edward Witten
Keyword(s):  
Matrix Models ◽  
Path Integral ◽  
Matrix Model ◽  
Quantum Systems ◽  
Quantum Mechanical ◽  
Two Dimensional ◽  
Quantum Mechanical System ◽  
Specific Procedure ◽  
Dimensional Theory ◽  
Specific Quantum

Recently, it has been found that Jackiw-Teitelboim (JT) gravity, which is a two-dimensional theory with bulk action − 1 / 2 ∫ d 2 x g ϕ ( R + 2 ) , is dual to a matrix model, that is, a random ensemble of quantum systems rather than a specific quantum mechanical system. In this article, we argue that a deformation of JT gravity with bulk action − 1 / 2 ∫ d 2 x g ( ϕ R + W ( ϕ ) ) is likewise dual to a matrix model. With a specific procedure for defining the path integral of the theory, we determine the density of eigenvalues of the dual matrix model. There is a simple answer if W (0) = 0, and otherwise a rather complicated answer.

Quantum-mechanical solution for the double oscillator in a box

1981 ◽  
Vol 62 (1) ◽  
pp. 91-129 ◽  
Author(s):  
V. C. Aguilera-Navarro ◽  
H. Iwamoto ◽  
E. Ley Koo ◽  
A. H. Zimerman
Keyword(s):  
Quantum Mechanical ◽  
Quantum Mechanical Solution
Sign in / Sign up

Export Citation Format

Share Document