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Communications in Mathematical Physics, ISSN 0010-3616, 3/2019, Volume 366, Issue 3, pp. 1229 - 1257
We consider the family of operators $${H^{(\varepsilon)}:=-\frac{d^2}{dx^2}+\varepsilon V}$$ H ( ε ) : = - d 2 d x 2 + ε V in $${\mathbb{R}}$$ R with almost-periodic potential V... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | PHYSICS, MATHEMATICAL
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2019, Volume 372, Issue 1, pp. 183 - 211
A comprehensive study of periodic trajectories of billiards within ellipsoids in d-dimensional Euclidean space is presented... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SYSTEMS | PHYSICS, MATHEMATICAL | PENCILS | QUADRICS | ELLIPTIC BILLIARD | INTEGRABLE BILLIARDS
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 07/2019, Volume 141, pp. 62 - 80
...) and the Manakov model. The perturbations include the simultaneous by a periodic external potential, and linear and nonlinear gain/loss terms... 
Scalar Schrödinger equation and Manakov system with gain/loss and external potential | Generalized Complex Toda chain | Soliton interactions in adiabatic approximation
Journal Article
MOSCOW MATHEMATICAL JOURNAL, ISSN 1609-3321, 10/2019, Volume 19, Issue 4, pp. 807 - 816
In this paper we find explicit conditions on the periodic PT-symmetric complex-valued potential q for which the number of gaps in the real part of the spectrum... 
MATHEMATICS | MATHEMATICS, APPLIED | COMPLEX | ANALOGS | finite-zone potentials | Schrodinger operator | SPECTRUM | DIFFERENTIAL-OPERATORS | PT-symmetric potential
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 05/2017, Volume 14, Issue 5
In this paper, we investigate the spectrum and spectrality of the one-dimensional Schrodinger operator with a periodic PT-symmetric complex-valued potential. 
PT-symmetric periodic potential | real spectrum | Schrödinger operator | HILL OPERATORS | COMPLEX | Schrodinger operator | TRANSLATION | PHYSICS, MATHEMATICAL | DIFFERENTIAL-OPERATORS | Mathematics - Spectral Theory
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 04/2011, Volume 50, Issue 4, pp. 1019 - 1041
In quantum theory, any Hamiltonian describing a physical system is mathematically represented by a self-adjoint linear operator to ensure the reality of the... 
PT -symmetry | Optical lattices | Guided waves | Wave propagation | Gain-loss media | Optical solitons | PT -operators | Non-Hermitian | Periodic potentials | COMPLEX | PT-symmetry | PHYSICS, MULTIDISCIPLINARY | BLOCH WAVES | PT-operators | PHYSICS | NON-HERMITIAN HAMILTONIANS
Journal Article
Scientific Reports, ISSN 2045-2322, 12/2018, Volume 8, Issue 1, pp. 6304 - 13
Journal Article
Archive for rational mechanics and analysis, ISSN 0003-9527, 02/2017, Volume 223, Issue 2, pp. 941 - 975
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 10/2018, Volume 363, Issue 2, pp. 655 - 698
...: Schrödinger’s equation in one spatial dimension with a potential which is the sum of a periodic function V and a smooth function W... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | LIMITS | HILLS EQUATION | SEMICLASSICAL ANALYSIS | DIRAC POINTS | DYNAMICS | POTENTIALS | MODEL | PHYSICS, MATHEMATICAL | OPERATORS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2009, Volume 80, Issue 4
Journal Article
Neuromuscular Disorders, ISSN 0960-8966, 2010, Volume 20, Issue 3, pp. 166 - 173
...–contraction (EC) coupling and is implicated in various congenital myopathies. The periodic paralyses are a heterogeneous, dominantly inherited group of conditions mainly associated with mutations in the SCN4A and the CACNA1S genes... 
Neurology | Multi-minicore disease (MmD) | Skeletal muscle ryanodine receptor (RYR1) gene | Excitation–contraction coupling (ECC) | Periodic paralysis | Excitation-contraction coupling (ECC) | MALIGNANT-HYPERTHERMIA | PHENOTYPE | DEPLETION | MECHANISMS | CONGENITAL MYOPATHIES | NEUROSCIENCES | CLINICAL NEUROLOGY | OPHTHALMOPLEGIA | C-TERMINAL REGION | CHANNEL ALPHA-SUBUNIT | CENTRAL CORE DISEASE | Membrane Potentials - genetics | Ryanodine - metabolism | Calcium - metabolism | Humans | Family Health | Male | Ryanodine Receptor Calcium Release Channel - metabolism | DNA Mutational Analysis - methods | Muscular Diseases - classification | Transfection - methods | Tritium - metabolism | Arginine - genetics | Caffeine - pharmacology | Adult | Female | Calcium Channels - genetics | Membrane Potentials - drug effects | NAV1.4 Voltage-Gated Sodium Channel | Phosphodiesterase Inhibitors - pharmacology | Muscular Diseases - pathology | Mutation - genetics | Lysine - genetics | Patch-Clamp Techniques | Calcium Channels, L-Type - genetics | Ryanodine Receptor Calcium Release Channel - genetics | Electron Transport Complex IV - drug effects | Sodium Channels - genetics | Calcium Channels, L-Type - metabolism | Muscle, Skeletal - pathology | Muscular Diseases - genetics | Cell Line, Transformed | Proteins | Familial periodic paralysis | Neurosciences | Children's hospitals | Genetic research | Physiological aspects | Genetic aspects | Natural pesticides | gene | Skeletal muscle ryanodine receptor (RYR1)
Journal Article
Communications in mathematical physics, ISSN 0010-3616, 2006, Volume 264, Issue 1, pp. 191 - 225
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 3/2017, Volume 350, Issue 3, pp. 1275 - 1297
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2005, Volume 72, Issue 3, p. 032401
Using numerical simulations we study the pinning and dynamics of interacting colloids on periodic one-dimensional substrates... 
CRYSTALS | SUSPENSIONS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | DRIVEN LATTICES | Physics - Soft Condensed Matter
Journal Article
Pramana - Journal of Physics, ISSN 0304-4289, 08/2009, Volume 73, Issue 2, pp. 259 - 267
.... To understand the effect of a particle having a complex energy, the behaviour of a classical particle in a one-dimensional periodic potential V(x) = - cos(x) is studied... 
Complex classical mechanics | Conduction bands | Complex trajectories | PT symmetry | PHYSICS, MULTIDISCIPLINARY | TRAJECTORIES | SYSTEMS | complex classical mechanics | conduction bands | EQUATION | complex trajectories
Journal Article
Chemical Communications, ISSN 1359-7345, 06/2013, Volume 49, Issue 45, pp. 5106 - 5131
Journal Article