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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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Related topics

Related topics

50 relations
Avoided crossingBerry connection and curvatureBose–Hubbard modelCircuit quantum electrodynamics

Broader (2)

Computational chemistryQuantum mechanics

Papers overview

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Highly Cited
2004
Highly Cited
2004
Positive and Negative Hierarchies of Integrable Lattice Models Associated with a Hamiltonian Pair
A difference Hamiltonian operator involving two arbitrary constants is presented, and it is used to construct a pair of… 
Highly Cited
2002
Highly Cited
2002
Hamiltonian quantization of Chern-Simons theory with SL(2, Bbb C) group
We analyse the Hamiltonian quantization of Chern–Simons theory associated with the real group SL(2, ), universal covering group… 
Highly Cited
2000
Highly Cited
2000
Distribution of the k-th smallest Dirac operator eigenvalue
Based on the exact relationship to Random Matrix Theory, we derive the probability distribution of the k-th smallest Dirac… 
Highly Cited
1999
Highly Cited
1999
Linear combination of bulk bands method for large-scale electronic structure calculations on strained nanostructures
A {open_quotes}strained linear combination of bulk bands{close_quotes} method is introduced for calculating the single-particle… 
Highly Cited
1998
Highly Cited
1998
The Maxwell–Vlasov equations in Euler–Poincaré form
Low's well-known action principle for the Maxwell–Vlasov equations of ideal plasma dynamics was originally expressed in terms of… 
Highly Cited
1995
Highly Cited
1995
Multistability in networks of weakly coupled bistable units
Highly Cited
1991
Highly Cited
1991
Transport and turnstiles in multidimensional Hamiltonian mappings for unimolecular fragmentation: Application to van der Waals predissociation
A four‐dimensional symplectic (Hamiltonian) mapping of the type studied by Gaspard and Rice is used to model the predissociation… 
Highly Cited
1982
Highly Cited
1982
Valence effective Hamiltonian study of the electronic structure of poly(p‐phenylene) and poly(p‐phenylene sulfide)
The parametrization of atomic potentials for sulfur is presented in the framework of the valence effective Hamiltonian (VEH… 
Highly Cited
1976
Highly Cited
1976
Semiclassical eigenvalues for nonseparable systems: Nonperturbative solution of the Hamilton–Jacobi equation in action‐angle variables
It is shown how the Hamilton–Jacobi equation for a multidimensional nonseparable system can be efficiently solved directly in… 
Highly Cited
1973
Highly Cited
1973
Dipole and Quadrupole Phase Transitions in Spin-1 Models
A spin-1 Hamiltonian with arbitrary bilinear and biquadratic pair interactions has been studied in the molecular-field… 
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