Supersymmetric quantum mechanics and new potentials
... We know that the number of Schrõdinger equations that have analytic solutions is quite small. In recent years some works have tried to increase this number, starting from potentials whose solutions are known (e.q. Abraham and Mosesl and Pursey2). Supersymmetric quantum mechanics (SQM) has also been ...
... We know that the number of Schrõdinger equations that have analytic solutions is quite small. In recent years some works have tried to increase this number, starting from potentials whose solutions are known (e.q. Abraham and Mosesl and Pursey2). Supersymmetric quantum mechanics (SQM) has also been ...
THE QUArtTIC-QUADRATIC OSCILLATOR
... vectors give the anharmonic energy levels and the coefficients ci respectively. It is possible, by making v use of the form of 2.102, to determine the vibrational energy levels by, first, solving the dimensionless~· Hamiltonian H ...
... vectors give the anharmonic energy levels and the coefficients ci respectively. It is possible, by making v use of the form of 2.102, to determine the vibrational energy levels by, first, solving the dimensionless~· Hamiltonian H ...
Complete Analytical Solutions of the Mie
... expectation values, one can promote the fixed parameters which appears in the Hamiltonian to be a continuous variable (for the mathematical purpose of taking the derivative). Thus, suppose the Hamiltonian H for a particular quantum system is a function of some parameters q, and let En (q) and Ψn (q) ...
... expectation values, one can promote the fixed parameters which appears in the Hamiltonian to be a continuous variable (for the mathematical purpose of taking the derivative). Thus, suppose the Hamiltonian H for a particular quantum system is a function of some parameters q, and let En (q) and Ψn (q) ...
Imaging and Tuning Molecular Levels at the Surface of a Gated
... and annihilation operators. We will neglect the dependence on electron wavevector k , as well as phonon wavevector q . This is based on the observation that the electron and phonon bandwidths are both relatively small. We have also checked that the electron-phonon matrix elements do not change appre ...
... and annihilation operators. We will neglect the dependence on electron wavevector k , as well as phonon wavevector q . This is based on the observation that the electron and phonon bandwidths are both relatively small. We have also checked that the electron-phonon matrix elements do not change appre ...
Acoustic Analog to Quantum Mechanical Level Splitting
... A common system of interest in quantum mechanics is the infinite square well. A typical exercise in introductory quantum mechanics courses is finding the energy eigenvalues and eigenfunctions for such a system.1–3 In more advanced courses, the infinite square well is used as a starting point for per ...
... A common system of interest in quantum mechanics is the infinite square well. A typical exercise in introductory quantum mechanics courses is finding the energy eigenvalues and eigenfunctions for such a system.1–3 In more advanced courses, the infinite square well is used as a starting point for per ...
Adiabatic=Quantum.Ah.. - Duke Computer Science
... Not enough interaction between clock and computer to have terms like: H k I | k k | I | k 1k 1 | ...
... Not enough interaction between clock and computer to have terms like: H k I | k k | I | k 1k 1 | ...
Highlights - UMD Physics
... To improve the guess wavefunction, one can add many adjustable parameters to it, call them λ1 , λ 2 , λ3 , K These are often physically motivated quantities, such as the width of the wavefunction in real-space, or the effective charge of the nucleus as seen by an electron in an atom, or perhaps the ...
... To improve the guess wavefunction, one can add many adjustable parameters to it, call them λ1 , λ 2 , λ3 , K These are often physically motivated quantities, such as the width of the wavefunction in real-space, or the effective charge of the nucleus as seen by an electron in an atom, or perhaps the ...