The Quantum Mechanics of Many‐Body Systems

Physics Today ◽  
1962 ◽  
Vol 15 (7) ◽  
pp. 52-52 ◽  
Author(s):  
D. J. Thouless ◽  
H. S. W. Massey ◽  
R. W. Hellwarth
1963 ◽  
Vol 70 (8) ◽  
pp. 908
Author(s):  
I. E. Segal ◽  
D. J. Thouless

1973 ◽  
Vol 24 (10) ◽  
pp. 618-618
Author(s):  
S F Edwards

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Mirza Wasif Baig ◽  
Muhammad Siddiq

We discuss the quantum mechanics of many-body systems, that is, hybrid microgel consisting of negatively charged anionic microgels possessing thick sheath of water molecules solvating protruding anionic moieties and nanoparticle captivated within the microgel. Thermodynamic feasibility of synthesis of particular nanoparticle within the microgel is dependent upon the magnitude of interaction between nanoparticle, water molecules, and microgel relative to sum of magnitude of self-interaction between counterions and interaction between counterions and microgel. Nanoparticles synthesized with in the microgels have thick electronic cloud that oscillates under the influence of net interaction potential of charged anionic moieties and solvent water molecules which constitutes the chemical environment of hybrid microgel. Hamiltonian describing energy of oscillating electronic cloud of wrapped around nanoparticle is mathematically derived to be equal to product of integral electron density and product of its position vector overall space and net force acting on the oscillating electronic cloud of nanoparticle is mathematically defined as; ℱ∫ρn{n}n^ dn.


Author(s):  
Sauro Succi

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.


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