# Morphing quantum mechanics and fluid dynamics

@article{Curtright2003MorphingQM, title={Morphing quantum mechanics and fluid dynamics}, author={Thomas L. Curtright and David B. Fairlie}, journal={Journal of Physics A}, year={2003}, volume={36}, pages={8885-8901} }

We investigate the effects of given pressure gradients on hydrodynamic flow equations. We obtain results in terms of implicit solutions and also in the framework of an extra-dimensional formalism involving the diffusion/Schrodinger equation.

## 4 Citations

Implicit Solutions of PDE's

- Mathematics
- 2004

Further investigations of implicit solutions to non-linear partial differential equations are pursued. Of particular interest are the equations which are Lorentz invariant. The question of which…

Method for generating additive shape-invariant potentials from an Euler equation

- Physics
- 2011

In the supersymmetric quantum mechanics formalism, the shape invariance condition provides a sufficient constraint to make a quantum mechanical problem solvable, i.e. we can determine its eigenvalues…

Phase space holography with no strings attached

- PhysicsLithuanian Journal of Physics
- 2022

Keywords: phase space, holographic correspondence, hydrodynamics, effective metric
We discuss the Wigner function representation from the novel standpoint of establishing a natural holographylike…

An analytical solution of Monge differential equation

- Mathematics
- 2007

We present the exact solution to the non linear Monge differential equation lambda(x, t)lambdax(x, t) = lambdat(x, t). It is widely accepted that the Monge equation is equivalent to the ODE d2X/dt2=…

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