Drums

Few selected modes of the negative laplacian on the Penrose snowflake

• 
• Fundamental Mode
  
• 
• Fifth excited state.
•      
• Tenth excited state.

Research

I work in different areas, although most of my recent work has  to do with perturbation theory and with the development of nonperturbative techniques. I am also interested in physical problems involving computational aspects (the images on the left are just an example).

You can find a list of my publications at the ArXiv

Here you find a short CV

Recent publications

• P. Amore, The string of variable density: perturbative and nonperturbative results, Annals of Physics 325, 2679-2696 (2010)
• P. Amore, Can one hear the density of a drum? Weyl's law for inhomogeneous media, accepted Europhysics Letters (2010)
• P. Amore et al., Collocation method for fractional quantum mechanics, accepted on Journal of Mathematical Physics (2010)
• P. Amore, Spectroscopy of drums and quantum billiards: perturbative and non perturbative results, Journal of Mathematical Physics 51, 052105 (2010)