Bicomplex hamiltonian systems in quantum mechanics

DOI10.1088/1751-8113/48/50/505201zbMath1330.81074arXiv1503.04603OpenAlexW1935876214MaRDI QIDQ3460489

Abhijit Banerjee, Bijan K. Bagchi

Publication date: 7 January 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04603

zbMATH Keywords

\(\mathcal{PT}\) symmetrybicomplex algebraanalogous Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (7)

Multicomplex wave functions for linear and nonlinear Schrödinger equations ⋮ On the quantum mechanics of bicomplex Hamiltonian system ⋮ Bicomplex modules with indefinite inner product ⋮ Bicomplex harmonic and isotonic oscillators: the excited states ⋮ New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics ⋮ Interpolation with symmetry and a Herglotz theorem in the bicomplex setting ⋮ Multicomplex solitons

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