Hamiltonian (quantum mechanics)

Known as: Hamiltonian operator, Hamilton operator, Hamiltonian (quantum theory) 
In quantum mechanics, the Hamiltonian is the operator corresponding to the total energy of the system in most of the cases. It is usually denoted by… (More)
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Review
2011
Review
2011
In these notes we review the foundations of Banach–Poisson geometry and explain how in this framework one obtains a unified… (More)
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2008
2008
  • Olimpia Lombardi, Mario Castagnino
  • 2008
The aim of this paper is to introduce a new member of the family of the modal interpretations of quantum mechanics. In this modal… (More)
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Highly Cited
2007
Highly Cited
2007
Springer 1 Introduction This book reports on an unconventional explanation of the origin of chaos in Hamiltonian dynamics and on… (More)
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Highly Cited
2004
Highly Cited
2004
The k-LOCAL HAMILTONIAN problem is a natural complete problem for the complexity class QMA, the quantum analog of NP. It is… (More)
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Highly Cited
2000
Highly Cited
2000
  • Edward Farhi, Jeffrey Goldstone, Sam Gutmann, Michael Sipser
  • 2000
We give a quantum algorithm for solving instances of the satisfiability problem, based on adiabatic evolution. The evolution of… (More)
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Highly Cited
1999
Highly Cited
1999
  • A. Soffer, M. I. Weinstein
  • 1999
We consider a class of nonlinear Klein-Gordon equations which are Hamiltonian and are perturbations of linear dispersive… (More)
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Highly Cited
1998
Highly Cited
1998
The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real bounded below. Replacing this condition… (More)
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Highly Cited
1998
Highly Cited
1998
It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural… (More)
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Highly Cited
1997
Highly Cited
1997
We derive a spacetime formulation of quantum general relativity from (hamiltonian) loop quantum gravity. In particular, we study… (More)
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Highly Cited
1982
Highly Cited
1982
Quantum mechanical Hamiltonian models, which represent an aribtrary but finite number of steps of any Turing machine computation… (More)
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