• Corpus ID: 244709807

The Variational Methods of Quantum Systems in Holomorphic Representation

@inproceedings{Almasri2021TheVM,
  title={The Variational Methods of Quantum Systems in Holomorphic Representation},
  author={Mohammad Almasri and Mohamed Ridza Wahiddin},
  year={2021}
}
We show that variational method for harmonic oscillator in Bargmann representation breaks down since we always end up with one of the exact eigenvalues of Hamiltonian using any normalized monomials in the complex plane. Using the holomorphic representation of pure spin systems , we also encounter the same result found earlier for harmonic oscillators in Bargmann representation. We conclude that the exact energy eigenvalues of these systems are unavoidable starting from any normalized monomials… 

References

SHOWING 1-10 OF 22 REFERENCES
Reality conditions inducing transforms for quantum gauge field theory and quantum gravity
The algebraic form of the Hamiltonian or Hamiltonian constraint of various (field) theories simplifies considerably if one uses certain complex-valued phase space variables. We show, for a general
How algebraic Bethe ansatz works for integrable model
I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated
Path Integrals in Quantum Mechanics
We present the path integral formulation of quantum mechanics and demonstrate its equivalence to the Schrödinger picture. We apply the method to the free particle and quantum harmonic oscillator,
Wentzel-Kramers-Brillouin method in the Bargmann representation.
  • Voros
  • Physics, Medicine
    Physical review. A, General physics
  • 1989
It is demonstrated that the Bargmann representation of quantum mechanics is ideally suited for semiclassical analysis, using as an example the WKB method applied to the bound-state problem in a
Angular Momentum in Quantum Mechanics
We begin with a review of the basic concepts involved in the quantum mechanical description of physical systems and the notation we will use in the lectures. The notes in this Section are not
Thermal coherent states in the Bargmann representation.
  • Vourdas, Bishop
  • Physics, Medicine
    Physical review. A, Atomic, molecular, and optical physics
  • 1994
TLDR
The thermal coherent states considered previously by the present authors represent an alternative mixed-state generalization of the usual pure-state coherent states and are shown to provide a "random" (or "thermal" or "noisy") basis on a quantum-mechanical Hilbert space scrH.
Introduction to Quantum Mechanics
THIS modestly named volume is in fact a comprehensive treatise covering the whole subject of quantum mechanics. It summarizes the relevant basic discoveries of Planck, Compton, Einstein and Bohr in
Quantum Inverse Scattering Method and Correlation Functions
One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral
Quantum coherence effects and the second law of thermodynamics
  • L. Ford
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1978
Negative energy densities and fluxes due to quantum coherence effects in quantum field theories are discussed. Such negative energy fluxes seemingly lead to a breakdown of the second law of
Two Soluble Models of an Antiferromagnetic Chain
Two genuinely quantum mechanical models for an antiferromagnetic linear chain with nearest neighbor interactions are constructed and solved exactly, in the sense that the ground state, all the
...
1
2
3
...