Exner, Pavel
- Leaky Quantum Graphs: A Review
2007/10/31 by Pavel Exner, Exner, Pavel · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #35J10 #35P15 #58J05 (Secondary) #81Q05 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
2008/11/22 by Exner, Pavel, Post, Olaf · 1 citation
#FOS: Physical sciences #Mathematical Physics (math-ph)
- Solvable models of resonances and decays
2012/05/02 by Exner, Pavel · 1 citation
#35Q40 #81Q35 #81Q80 #81U15 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Spectral Theory (math.SP)
- Optimization of the lowest eigenvalue for leaky star graphs
2017/01/24 by Exner, Pavel, Lotoreichik, Vladimir · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Spectral Theory (math.SP)
- Bound states of weakly deformed soft waveguides
2022/11/03 by Exner, Pavel, Kondej, Sylwia, Lotoreichik, Vladimir · 1 citation
#35J10 #35P15 #81Q37 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Spectral Theory (math.SP)
- Cairo lattice with time-reversal non-invariant vertex couplings
2023/12/21 by Baradaran, Marzieh, Exner, Pavel · 1 citation
#34L05 #81Q10 #81Q35 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph) #Spectral Theory (math.SP)
- First order operators on shrinking graph-like spaces
2025/02/27 by Pavel Exner, Exner, Pavel, Olaf Post +1 · 1 citation
Mathematics · #81Q35 (35P05 58J90) #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP)