Coherent States and Applications in Mathematical Physics
portes grátis
Coherent States and Applications in Mathematical Physics
Combescure, Monique; Robert, Didier
Springer Nature Switzerland AG
05/2021
577
Dura
Inglês
9783030708443
15 a 20 dias
1051
Descrição não disponível.
The standard coherent states of quantum mechanics.- The Weyl-Heisenberg group and the coherent states of arbitrary profile.- The coherent states of the Harmonic Oscillator.- From Schroedinger to Fock-Bargmann representation.- Weyl quantization and coherent states: Classical and Quantum observables.- Wigner function.- Coherent states and operator norm estimates.- Product rule and applications.- Husimi functions, frequency sets and propagation.- The Wick and anti-Wick quantization.- The generalized coherent states in the sense of Perelomov.- The SU(1,1) coherent states: Definition and properties.- The squeezed states.- The SU(2) coherent states.- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians.- The metaplectic transformations.- The propagation of coherent states.- Representation of the Weyl symbols of the metaplectic operators.- The semiclassical evolution of coherent states.- The van Vleck and Hermann-Kluk approximations.- The semiclassical Gutzwiller trace formula using coherent states decomposition.- The hydrogen atom coherent states: Definition and properties.- The localization around Kepler orbits.- The quantum singular oscillator: The two-body case.- The N-body case.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Weyl quantization;quadratic Hamiltonians;hydrogen atom;quantum oscillator;Herman-Kluck approximation;Generalized coherent state;Gutzwiller trace formula;semiclassical evolution;Fourier-Integral Operators;Schroedinger equation;Gaussian coherent states;spin coherent states;bosonic coherent states;fermionic coherent states;supercoherent states;quantum chaos;quantum groups;Perelemov coherent states;Ehrenfest time;open quantum systems
The standard coherent states of quantum mechanics.- The Weyl-Heisenberg group and the coherent states of arbitrary profile.- The coherent states of the Harmonic Oscillator.- From Schroedinger to Fock-Bargmann representation.- Weyl quantization and coherent states: Classical and Quantum observables.- Wigner function.- Coherent states and operator norm estimates.- Product rule and applications.- Husimi functions, frequency sets and propagation.- The Wick and anti-Wick quantization.- The generalized coherent states in the sense of Perelomov.- The SU(1,1) coherent states: Definition and properties.- The squeezed states.- The SU(2) coherent states.- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians.- The metaplectic transformations.- The propagation of coherent states.- Representation of the Weyl symbols of the metaplectic operators.- The semiclassical evolution of coherent states.- The van Vleck and Hermann-Kluk approximations.- The semiclassical Gutzwiller trace formula using coherent states decomposition.- The hydrogen atom coherent states: Definition and properties.- The localization around Kepler orbits.- The quantum singular oscillator: The two-body case.- The N-body case.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Weyl quantization;quadratic Hamiltonians;hydrogen atom;quantum oscillator;Herman-Kluck approximation;Generalized coherent state;Gutzwiller trace formula;semiclassical evolution;Fourier-Integral Operators;Schroedinger equation;Gaussian coherent states;spin coherent states;bosonic coherent states;fermionic coherent states;supercoherent states;quantum chaos;quantum groups;Perelemov coherent states;Ehrenfest time;open quantum systems
