8 citations · 18 across the 8 of their papers we have counts for
9 papers
Uncertainty relations: a small zoo of remarkable inequalities discovered since 1927
V. V. Dodonov
A concise review of various mathematical formulations of the uncertainty relations in quantum mechanics discovered since 1927 is given. Besides the traditional Heisenberg inequalit…
Adiabatic versus instantaneous transitions from a harmonic oscillator to an inverted oscillator
Viktor V. Dodonov, Alexandre V. Dodonov
We have obtained explicit analytical formulas for the mean energy and its variance (characterizing the energy fluctuations) of a quantum harmonic oscillator with time-dependent fre…
Adiabatic amplification of energy and magnetic moment of a charged particle after the magnetic field inversion
Viktor V. Dodonov, Alexandre V. Dodonov
We study the evolution of the energy and magnetic moment of a quantum charged particle placed in a homogeneous magnetic field, when this field changes adiabatically its sign. We sh…
Adiabatic amplification of the harmonic oscillator energy when the frequency passes through zero
Viktor V. Dodonov, Alexandre V. Dodonov
We study the evolution of the energy of a harmonic oscillator when its frequency slowly varies with time and passes through zero value. We consider both the classical and quantum d…
Coherent phase states in the coordinate and Wigner representations
Miguel Citeli de Freitas, Viktor V. Dodonov
We study numerically the coordinate wave functions and the Wigner functions of the coherent phase states (CPS), paying the main attention to their differences from the standard (Kl…
Energy and magnetic moment of a quantum charged particle in time dependent magnetic and electric fields of circular and plane solenoids
V. V. Dodonov, M. B. Horovits
We consider a quantum spinless nonrelativistic charged particle moving in the plane under the action of a time-dependent magnetic field, described by means of the linear vecto…
Excitation of a moving oscillator
Viktor V. Dodonov
We calculate transition amplitudes and probabilities between the coherent and Fock states of a quantum harmonic oscillator with a moving center for an arbitrary law of motion. Thes…
Coherent states in a magnetic field and their generalizations
V. V. Dodonov
This is a brief review of various families of coherent and squeezed states (and their generalizations) for a charged particle in a magnetic field, that have been constructed for th…
Energy-time and frequency-time uncertainty relations: exact inequalities
V. V. Dodonov, A. V. Dodonov
We give a short review of known exact inequalities that can be interpreted as "energy-time" and "frequency-time" uncertainty relations. In particular we discuss a precise form of s…