Time dependent neutrino billiards
D.U.Matrasulov, Z.A.Sobirov, Sh.Ataev, H.Yusupov
TL;DR
This paper investigates the quantum dynamics of a massless Dirac particle in one-dimensional and circular billiards with boundaries that change linearly over time, providing exact solutions for wave functions and eigenvalues.
Contribution
It introduces exact analytical solutions for the quantum behavior of a Dirac particle in time-dependent billiard systems with linearly moving boundaries.
Findings
Derived exact wave functions for the system.
Obtained eigenvalues corresponding to the time-dependent boundaries.
Analyzed the impact of boundary motion on quantum states.
Abstract
Quantum dynamica of a massless Dirac particle in time-dependent 1D box and circular billiard with time-dependent radius is studied. An exact analytical wave functions and eigenvalues are obtained for the case of linear time-dependence of the boundary position.
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