Quadratic time dependent Hamiltonians and separation of variables
From MaRDI portal
Publication:530230
DOI10.1016/j.aop.2017.04.002zbMath1364.81107OpenAlexW2606126241WikidataQ114209561 ScholiaQ114209561MaRDI QIDQ530230
Publication date: 9 June 2017
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2017.04.002
separation of variablesWei-Norman methodexplicit unitary transformationsLie group contractionstime dependent quadratic quantum Hamiltonians
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Hamilton-Jacobi equations in mechanics (70H20)
Related Items
Exact time-evolution of a generalized two-dimensional quantum parametric oscillator in the presence of time-variable magnetic and electric fields, Supercanonical coordinates for orthosymplectic evolution operators
Cites Work
- An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
- Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation
- Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation
- On the exponential representation of solutions of linear differential equations
- A class of operator algebras which are determined by groups
- Time evolution of two-dimensional quadratic Hamiltonians: A Lie algebraic approach
- Exactly solvable Hermite, Laguerre, and Jacobi type quantum parametric oscillators
- On the Matrix Riccati Equation
- Quantal phase factors accompanying adiabatic changes
- On Time-Dependent Quadratic Quantum Hamiltonians
- Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
- Canonical transforms, separation of variables, and similarity solutions for a class of parabolic differential equations
- On non-autonomous dynamical systems
- A Remarkable Representation of the 3 + 2 de Sitter Group
- Lie Algebraic Solution of Linear Differential Equations
- Space-Time Approach to Non-Relativistic Quantum Mechanics
- Limitable Dynamical Groups in Quantum Mechanics. I. General Theory and a Spinless Model
- Limitable Dynamical Groups in Quantum Mechanics. II. A Model Including Arbitrary Spin
- Linear Canonical Transformations and Their Unitary Representations
- An Operator Calculus Having Applications in Quantum Electrodynamics
- On the Contraction of Groups and Their Representations
- On the exponential solution of differential equations for a linear operator
- A Matrix Differential Equation of Riccati Type
- The quantum damped harmonic oscillator
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
