We review a number of mathematical results concerning the derivation and justification of effective equations for quantum systems constrained to small neighbourhoods of submanifolds of configuration space. For example, in some chemical reactions the nuclei move along a lower dimensional reaction path in configuration space and an effective description involving only the coordinates on the path can be justified. This effective description takes into account effects from the geometry of the path resp. submanifold.Non UBCUnreviewedAuthor affiliation: Universitaet TuebingenFacult
In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subje...
International audienceThe fine description of the mechanics and structure of materials atnanometric ...
A conceptual variable is any variable defined by a person or by a group of persons. Such variables m...
We review a number of mathematical results concerning the derivation and justification of effective ...
Abstract. We show how to translate recent results on effective Hamiltoni-ans for quantum systems con...
We derive an effective Hamiltonian for a quantum system constrained to a submanifold (the constraint...
A general prescription for the treatment of constrained quantum motion is outlined. We consider in p...
The approach of defining quantum corrections on nuclear dynamics of molecular systems incorporated a...
The effective classical/quantum dynamics of a particle constrained on a closed line embedded in a hi...
In this work we investigate the continuous confinement of quantum systems from three to two dimensio...
A framework for deriving equations of motion for constrained quantum systems is introduced and a pro...
The N-dimensional Schrdinger equation involving a general, central potential VN (r) , is decomposed ...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
Whereas model constraints (e.g., frozen bonds, rigidified atomic groups, etc.) are often resorted to...
Separation of the Schroedinger equation for molecular dynamics into sets of variables can sometimes ...
In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subje...
International audienceThe fine description of the mechanics and structure of materials atnanometric ...
A conceptual variable is any variable defined by a person or by a group of persons. Such variables m...
We review a number of mathematical results concerning the derivation and justification of effective ...
Abstract. We show how to translate recent results on effective Hamiltoni-ans for quantum systems con...
We derive an effective Hamiltonian for a quantum system constrained to a submanifold (the constraint...
A general prescription for the treatment of constrained quantum motion is outlined. We consider in p...
The approach of defining quantum corrections on nuclear dynamics of molecular systems incorporated a...
The effective classical/quantum dynamics of a particle constrained on a closed line embedded in a hi...
In this work we investigate the continuous confinement of quantum systems from three to two dimensio...
A framework for deriving equations of motion for constrained quantum systems is introduced and a pro...
The N-dimensional Schrdinger equation involving a general, central potential VN (r) , is decomposed ...
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum grav...
Whereas model constraints (e.g., frozen bonds, rigidified atomic groups, etc.) are often resorted to...
Separation of the Schroedinger equation for molecular dynamics into sets of variables can sometimes ...
In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subje...
International audienceThe fine description of the mechanics and structure of materials atnanometric ...
A conceptual variable is any variable defined by a person or by a group of persons. Such variables m...
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