Quantum Tunneling in SO(3,1)$\times$SO(4)
Robert Hipple
TL;DR
This paper introduces a new 'Tunneling' transformation in Lorentz transformations, providing a novel perspective on quantum tunneling phenomena and discussing implications for the Klein Paradox.
Contribution
It proposes a new transformation T(v) supplementing Lorentz transformations, offering fresh insights into quantum tunneling and the Klein Paradox.
Findings
New T(v) transformation applied to quantum mechanics
Provides intuitive understanding of quantum tunneling
Discusses implications for Klein Paradox
Abstract
We supplement the Lorentz transformation with a new ``Tunneling" transformation . Application of this new operation to elementary quantum mechanics offers a novel, intuitive insight into the nature of quantum tunneling; in particular, the so-called ``Klein Paradox" is discussed.
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Taxonomy
TopicsQuantum Mechanics and Applications · Algebraic and Geometric Analysis · Quantum Mechanics and Non-Hermitian Physics