Exactly solvable models in the KPZ class
A class of growth models rescaling to KPZ
... two models (Π, f ) , ( Π, ¯ f ¯ ) , we furthermore write | Π ; ¯ Π | for the same quantity, but with Π z replaced by Π z − ¯ Π z and Γ z¯ z replaced by Γ z¯ z − ¯ Γ z¯ z ...admissible models is not ...
112
A New Class of Exactly Solvable Models within the Schrödinger Equation with Position Dependent Mass
... Nunc velit augue, scelerisque dignissim, lobor- tis et, aliquam in, risus. In eu eros. Vestibu- lum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia Curae; Curabitur vulputate elit viverra augue. ...
14
Reflection equations in exactly solvable models of statistical mechanics
... developed models to try to understand phase transitions and critical ...these models were based upon continuum theory, later more refined models taking into account the atomic nature of m atter and ...
101
Topological Phases of Matter: Exactly Solvable Models and Classification
... ACKNOWLEDGEMENTS This thesis would not have been possible without the help of many people. First and foremost, I would like to thank my adviser Xie Chen, for her guidance and support over the past 5 years, and for her ...
123
Some exactly solvable models of urn process theory
... Note 12. Combinatorial analysis of the cyclic chambers urn. The formulae above are not all that surprising from a combinatorial point of view: let the urn be, as above, initialized with N balls of the first type and ...
60
Quasi Exactly Solvable Differential Models: A Canonical Polynomials Approach
... quasi-exactly solvable models require the solution of a system of nonlinear algebraic equations of which the dimensions depend on n , the degree of the exact polynomial solution y x ( ) ...
13
Exactly and quasi-exactly solvable 'discrete' quantum mechanics.
... of exactly solvable systems are explored and shown that the two sufficient conditions for exact solvability, the shape invari- ance and the closure relation, are satisfied by ...build exactly ...
18
Exactly solvable birth and death processes
... the exactly solvable matrix quantum mechanics of ...the exactly solvable 18 models, which are sufficient to evaluate the transition prob- ability ...18 models are named after the ...
19
Dualitiy, bosonic particle systems and some exactly solvable models of non-equilibrium
... One aim is to derive the Fourier’s law from the microscopic model. Fourier’s law is a macroscopic phenomenological law which tells that the heat current is proportional to the temperature difference across the boundaries ...
151
A Unifying E2-Quasi Exactly Solvable Model
... Abstract: A new non-Hermitian E2-quasi-exactly solvable model is constructed con- taining two previously known models of this type as limits in one of its three parameters. We identify the optimal ...
15
Pseudo Hermitian Matrix Exactly Solvable Hamiltonian
... new class of operators has been discovered. This class is intermediate between exactly solvable operators and non solvable ...- exactly solvable ( QES ) operators, for ...
9
Exactly Solvable Schrödinger Equation with Hypergeometric Wavefunctions
... a class of exactly-solvable generalized multiparameter exponential-type potentials, which contain as particular cases the Hulthén, Manning-Rosen and Woods-Saxon models, among ...
18
A Unifying E2-Quasi Exactly Solvable Model
... Abstract: A new non-Hermitian E2-quasi-exactly solvable model is constructed con- taining two previously known models of this type as limits in one of its three parameters. We identify the optimal ...
15
Non Hermitian Matrix Quasi Exactly Solvable Hamiltonian
... new class of operators has been discovered. This class is intermediate between exactly solvable operators and non solvable ...quasi-exactly solvable (QES) operators ...
11
An exactly solvable multiple stochastic optimal stopping problem
... a solvable multiple optimal stopping problem related to animal mi- ...optimization models of ecological and biological systems involving de- lays ...
9
On the High Order Quasi Exactly Solvable Differential Equations
... 2 Department of Applied Sciences, College of Technological Studies, PAAET, Kuwait City, Kuwait Abstract In this paper, we present a new method for solving a class of high-order quasi exactly solvable ...
17
The thermodynamic Bethe Ansatz approach to exactly solvable models in statistical mechanics and quantum field theory
... RSOS models are listed there, along with conjectures about their relevant form in the thermodynamic limit, and the subsequent thermodynamic ...these models, which involves the use of a set of functional ...
115
Shock Fluctuations in KPZ Growth Models
... Again we ask: What limit laws does one obtain at the shock ? What is the correlation length ? Such shocks in the exclusion process have been an object of study for a long time without any motivation coming from the ...
133
A new non-Hermitian E2-quasi-exactly solvable model
... -quasi-exactly solvable models in analogy to the notion of sl 2 ( C )- quasi-exactly solvability originally proposed by Turbiner [2, ...-quasi-exactly solvable models do ...
9
An Exactly Solvable Algebraic Model for Single Quantum Well Treatments
... of models, which are then investigated by the tools at ...some models can be exactly solved and their physical properties can be calculated in an exact ...exact models in physics, chem- istry ...
7