Sufficient condition for validity of quantum adiabatic theorem
Y Tao - Communications in Theoretical Physics, 2012 - iopscience.iop.org
In this paper, we attempt to give a sufficient condition of guaranteeing the validity of the proof
of the quantum adiabatic theorem. The new sufficient condition can clearly remove the …
of the quantum adiabatic theorem. The new sufficient condition can clearly remove the …
The validity of dimensional regularization method on fractal spacetime
Y Tao - Journal of Applied Mathematics, 2013 - Wiley Online Library
Svozil developed a regularization method for quantum field theory on fractal spacetime
(1987). Such a method can be applied to the low‐order perturbative renormalization of …
(1987). Such a method can be applied to the low‐order perturbative renormalization of …
Quantum behavior arises because our universe is a fractal
Y Tao - Reports in Advances of Physical Sciences, 2017 - World Scientific
To explain the origin of quantum behavior, we propose a fractal calculus to describe the non-
local property of the fractal curve [Y. Tao, J. Appl. Math. 2013 (2013) 308691]. This study …
local property of the fractal curve [Y. Tao, J. Appl. Math. 2013 (2013) 308691]. This study …
[PDF][PDF] Quantum field theory and non-local geometry: An intrinsic way of describing quantum behaviour
Y Tao - Citeseer
The origin of quantum behaviour (or equivalently, wave-particle duality) is an important
problem for physics; moreover, Euclidean geometry and Riemannian geometry may be …
problem for physics; moreover, Euclidean geometry and Riemannian geometry may be …
Differential formulation of Schrodinger equation leads to vanishing Berry phase
Y Tao - arXiv preprint arXiv:1010.3885, 2010 - arxiv.org
The Poincare-Hopf theorem states that a globally smooth tangent vector does not exist on a
manifold whose Euler characteristic is non-zero. Nevertheless, when one defines a …
manifold whose Euler characteristic is non-zero. Nevertheless, when one defines a …