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- Université de MontréalCA147 papers
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13 papers · 1 filter
Did 20th century physics have the means to reveal the nature of inertia and gravitation?
Vesselin Petkov
At the beginning of the 20th century the classical electron theory (or, perhaps more appropriately, the classical electromagnetic mass theory) - the first physical theory that dare…
Energy bounds for the spinless Salpeter equation: harmonic oscillator
Richard L. Hall, Wolfgang Lucha, Franz F. Schoeberl
We study the eigenvalues E_{n\ell} of the Salpeter Hamiltonian H = β\sqrt(m^2 + p^2) + vr^2, v>0, β> 0, in three dimensions. By using geometrical arguments we show that, for suitab…
Electron transport in Coulomb- and tunnel-coupled one-dimensional systems
O. E. Raichev, P. Vasilopoulos
We develop a linear theory of electron transport for a system of two identical quantum wires in a wide range of the wire length L, unifying both the ballistic and diffusive transpo…
General energy bounds for systems of bosons with soft cores
Richard L. Hall
We study a bound system of N identical bosons interacting by model pair potentials of the form V(r) = A sgn(p)r^p + B/r^2, A > 0, B >= 0. By using a variational trial function and…
Smooth spectral transition from Coulomb to oscillator
Richard L. Hall
Non-relativistic potential models are considered of the pure power V(r) = sgn(q) r^q and logarithmic V(r) = ln(r) types. Envelope representations and kinetic potentials are employe…
Perurbation expansions for the spiked harmonic oscillator and related series involving the gamma function
Richard L. Hall, Nasser Saad
We study weak-coupling perturbation expansions for the ground-state energy of the Hamiltonian with the generalized spiked harmonic oscillator potential V(x) = Bx^2 + A/x^2 + lambda…