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Renormalized Spectrum of Quasiparticle in Two States, Strongly Interacting with Multi-Mode Polarization Phonons at T = 0K
Within unitary transformed Hamiltonian of Frohlich type, the exact renormalized energy spectrum of a system consisting of a two-state quasiparticle...
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Highly Accurate Numerical Schemes for Solving Plane Boundary-Value Problems for a Polyharmonic Equation and Their Application to Problems of Hydrodynamics
AbstractBoundary-value problems are considered for harmonic and biharmonic equations, as well as the general polyharmonic equation for multiply...
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Model of a “Two-Dimensional Metal–Graphene-Like Compound” Junction: Consideration for Interaction between the Components
AbstractA graphene-like compound–two-dimensional d metal system is studied with consideration for interaction between the layer components. The...
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Thermal transport across membranes and the Kapitza length from photothermal microscopy
An analytical model is presented for light scattering associated with heat transport near a cell membrane that divides a complex system into two...
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Treatment of inelastic scattering within the separable interaction model
The closed-form analytical expressions for the off-shell solutions for Hulthén-distorted Yamaguchi potential are derived to deal with the charged...
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Green’s Function of the Schrödinger Equation in the Potential Quantization Method
AbstractThe problem for determining Green’s function G ( r , r ') for the time-independent Schrödinger equation is considered using the potential...
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Solutions
The nature of the exercises given at the end of the respective chapters varies. Some exercises are concerned with the extension of formulas and...
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The first-principles study on electronic transport mechanism in palladium decorated graphene for inert gas sensing
Inert gases, although widely used in various industries, can pose a risk of asphyxiation, making it crucial to detect and monitor their presence....
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Renormalization Theory
When computing higher order corrections in quantum field theory, divergences must show up. A method for deducing finite consequences by a suitable...
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Action of Virasoro operators on Hall–Littlewood polynomials
In this paper, we prove formulas for the action of Virasoro operators on Hall–Littlewood polynomials at roots of unity.
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The Complexities of Nonperturbative Computations
AbstractThe paper studies the behavior of equations of motions of Green’s functions under different running coupling constants in strongly coupled...
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Black hole induced false vacuum decay from first principles
We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently...
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Stochastic Processes
After introducing binomial trees as a time-discrete model to value options, this chapter moves on to discuss how a Wiener process gives rise to the...
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Linear Waves on Shallow Water Slowing Down near the Shore over Uneven Bottom
AbstractThe exact solutions to the system of equations of the linear theory of shallow water that represent travelling waves with some specific...
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Theoretical tools for understanding the climate crisis from Hasselmann’s programme and beyond
Klaus Hasselmann’s revolutionary intuition in climate science was to use the stochasticity associated with fast weather processes to probe the slow...
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On the scattering problem for a potential decreasing as the inverse square of distance
AbstractA solution of the scattering problem is obtained for the Schrödinger equation with the potential of induced dipole interaction, which...
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Easy-Plane Antiferromagnet in Tilted Field: Gap in Magnon Spectrum and Susceptibility
AbstractMotivated by recent experimental data on dichloro-tetrakis thiourea-nickel (DTN) [Soldatov et al., Phys. Rev. B 101 , 104410 (2020)], a model...
