The usual definition of a geometric phase involves particular conditions on the behaviour of the state vector of a quantum system. We show that they can be removed in some cases by appealing directly to the Schrödinger equation. In this way we obtain an extension of a family of geometric phases previously introduced by us
A generalised notion of geometric phase for pure states is proposed and its physical manifestations ...
A new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinemati...
A new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinemati...
The geometric phase in quantum mechanics was originally elucidated in the context of the adiabatic t...
The geometric phase is defined for any arbitrary quantum evolution using a "reference section" of th...
Abstract. Geometric phase has found a broad spectrum of applications in both classical and quantum p...
We define a new unitary operator in the Hilbert space of a quantum system which parallel transports ...
We use a gauge-invariant 'reference section' and define the geometric phase for all quantum evolutio...
Whenever a classical or quantum system undergoes a cyclic evolution governed by a slow change of pa...
Abstract. We use tools from the theory of dynamical systems with symmetries to stratify Uhlmann’s st...
Using the usual distance function (the Fubini-Study metric) and a new distance function on the proje...
By using the Maxwell equations in a Schrödinger-like form, the geometric phase in photon systems is...
By analyzing an instructive example, for testing many concepts and approaches in quantum mechanics, ...
We define a new unitary operator in the Hubert space of a quantum system which parallel transports t...
The quantum geometric phase is a fascinating demonstration how geometry affects standard quantum mec...
A generalised notion of geometric phase for pure states is proposed and its physical manifestations ...
A new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinemati...
A new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinemati...
The geometric phase in quantum mechanics was originally elucidated in the context of the adiabatic t...
The geometric phase is defined for any arbitrary quantum evolution using a "reference section" of th...
Abstract. Geometric phase has found a broad spectrum of applications in both classical and quantum p...
We define a new unitary operator in the Hilbert space of a quantum system which parallel transports ...
We use a gauge-invariant 'reference section' and define the geometric phase for all quantum evolutio...
Whenever a classical or quantum system undergoes a cyclic evolution governed by a slow change of pa...
Abstract. We use tools from the theory of dynamical systems with symmetries to stratify Uhlmann’s st...
Using the usual distance function (the Fubini-Study metric) and a new distance function on the proje...
By using the Maxwell equations in a Schrödinger-like form, the geometric phase in photon systems is...
By analyzing an instructive example, for testing many concepts and approaches in quantum mechanics, ...
We define a new unitary operator in the Hubert space of a quantum system which parallel transports t...
The quantum geometric phase is a fascinating demonstration how geometry affects standard quantum mec...
A generalised notion of geometric phase for pure states is proposed and its physical manifestations ...
A new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinemati...
A new approach to the theory of the geometric phase in quantum mechanics, based entirely on kinemati...