activity
20122026
most citedHomotopy analysis method for stochastic differential equations

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math-ph2026

Operator-theoretic and analytic properties of a driven single-mode Kerr cavity in Bargmann space

Maciej Janowicz

We study the stationary spectrum of a coherently driven single-mode Kerr cavity in Bargmann--Fock space. For positive Kerr coupling the Hamiltonian is self-adjoint, bounded below,…

math.DS2026

Quantum logistic map considered as discrete-time Heisenberg equation

Maciej Janowicz, Arkadiusz Orłowski

We represent scalar logistic iterates as multiplication operators on and study their fixed matrix elements in the normalized shifted-Legendre basis. Three parameter re…

quant-ph2026

Bargmann Zeros as a Diagnostic of the Tunneling Transition in Double-Well Quantum Systems

Tughanbulut Kurtulush, Maciej Janowicz

Complex zeros of wavefunctions represented as entire functions in Bargmann--Fock space encode structural information about the underlying quantum state. Prior work employed zero ga…

cond-mat.stat-mech2014★ 1 cited

Homotopy analysis method for stochastic differential equations

Maciej Janowicz, Filip Krzyżewski, Joanna Kaleta +2

The homotopy analysis method known from its successful applications to obtain quasi-analytical approximations of solutions of ordinary and partial differential equations is applied…

quant-ph2013

Ground states and dynamics of a trapped charged particle in the magnetic field

Maciej Janowicz, Jan Mostowski

A system of two charged particles in a harmonic trap with additional magnetic field is considered. The problem is reduced to a single-particle one in relative coordinates. The grou…

nlin.CD2013

Coherence and pattern formation in coupled logistic-map lattices

Maciej Janowicz, Arkadiusz Orłowski

Three quantitative measures of the spatiotemporal behavior of the coupled map lattices: reduced density matrix, reduced wave function, and an analog of particle number, have been i…