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19932026
most citedQuantum Integrals of Motion for Variable Quadratic Hamiltonians

69 citations · 566 across the 54 of their papers we have counts for

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Showing 2011Show all

6 papers · 1 filter

q-bio.PE2011

Short and Long Range Population Dynamics of the Monarch

Komi Messan, Kyle Smith, Shawn Tsosie +2

The monarch butterfly annually migrates from central Mexico to southern Canada. During recent decades, its population has been reduced due to human interaction with their habitat.…

math-ph2011

On The Harmonic Oscillator Group

Raquel M. Lopez, Sergei K. Suslov, Jose M. Vega-Guzman

We discuss the maximum kinematical invariance group of the quantum harmonic oscillator from a view point of the Ermakov-type system. A six parameter family of the square integrable…

quant-ph2011★ 4 cited

The Berry Phase for Simple Harmonic Oscillators

Sergei K. Suslov

We evaluate the Berry phase for a "missing" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables…

math-ph2011★ 7 cited

Dynamical Invariants and Berry's Phase for Generalized Driven Harmonic Oscillators

Barbara Sanborn, Sergei K. Suslov, Luc Vinet

We present quadratic dynamical invariant and evaluate Berry's phase for the time-dependent Schroedinger equation with the most general variable quadratic Hamiltonian.

math-ph2011

The Riccati System and a Diffusion-Type Equation

Erwin Suazo, Sergei K. Suslov, Jose M. Vega-Guzman

We discuss a method of constructing solution of the initial value problem for duffusion-type equations in terms of solutions of certain Riccati and Ermakov-type systems. A nonauton…

math-ph2011★ 1 cited

Exact Wave Functions for Generalized Harmonic Oscillators

Nathan Lanfear, Raquel M. Lopez, Sergei K. Suslov

We transform the time-dependent Schroedinger equation for the most general variable quadratic Hamiltonians into a standard autonomous form. As a result, the time-evolution of exact…