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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… 
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Papers overview

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Highly Cited
2007
Highly Cited
2007
The Hamiltonian H specifies the energy levels and time evolution of a quantum theory. A standard axiom of quantum mechanics… 
Highly Cited
2002
Highly Cited
2002
We present a fully Hamiltonian and computationally efficient scheme to include the electrostatic effects due to the classical… 
Highly Cited
1999
Highly Cited
1999
This paper proposes to broaden the canonical formulation of quantum mechanics. Ordinarily, one imposes the condition H†=H on the… 
Highly Cited
1998
Highly Cited
1998
We prove the adiabatic theorem for quantum evolution without the traditional gap condition. We show that the theorem holds… 
Highly Cited
1993
Highly Cited
1993
We consider the Hamiltonian and Lagrangian formalism describing free κ-relativistic particles with their four-momenta constrained… 
Highly Cited
1982
Highly Cited
1968
Highly Cited
1968
In Section 1 we present a general principle for associating nonlinear equations evolutions with linear operators so that the… 
Highly Cited
1950
Highly Cited
1950
By a canonical transformation on the Dirac Hamiltonian for a free particle, a representation of the Dirac theory is obtained in…