We address classical and quantum mechanics in a general setting of arbitrary time-dependent transformations. Classical non-relativistic mechanics is formulated as a par-ticular field theory on smooth fiber bundles over a time axis R. Connections on these bundles describe reference frames. Quantum non-autonomous mechanics is phrased in geometric terms of Banach and Hilbert bundles and connections on these bundles. A quantization scheme speaking this language is geometric quantization
This book presents in a unified way modern geometric methods in analytical mechanics based on the ap...
We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the descrip...
This is a monograph about non-commutative algebraic geometry, and its application to physics. The ma...
This book presents in a unified way modern geometric methods in analytical me-chanics, based on the ...
A relativistic Hamiltonian mechanical system is seen as a conservative Dirac constraint system on th...
Abstract. Quantum mechanics in its presently known formulation requires an external classical time f...
A geometrization of classical mechanics is presented which may be considered as a realization of the...
In this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states...
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...
We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the descrip...
In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approa...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
The gauge-theoretical approach to classical mechanics is applied to the study of time-dependent hami...
This book presents in a unified way modern geometric methods in analytical mechanics based on the ap...
We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the descrip...
This is a monograph about non-commutative algebraic geometry, and its application to physics. The ma...
This book presents in a unified way modern geometric methods in analytical me-chanics, based on the ...
A relativistic Hamiltonian mechanical system is seen as a conservative Dirac constraint system on th...
Abstract. Quantum mechanics in its presently known formulation requires an external classical time f...
A geometrization of classical mechanics is presented which may be considered as a realization of the...
In this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states...
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...
We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the descrip...
In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approa...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
The gauge-theoretical approach to classical mechanics is applied to the study of time-dependent hami...
This book presents in a unified way modern geometric methods in analytical mechanics based on the ap...
We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the descrip...
This is a monograph about non-commutative algebraic geometry, and its application to physics. The ma...
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