PATH INTEGRAL SOLUTION OF NONCENTRAL POTENTIAL

DOI10.1142/S0217751X00000550zbMath1052.81552arXivquant-ph/9906028OpenAlexW1528271755MaRDI QIDQ4486969

Bhabani Prasad Mandal

Publication date: 2000

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9906028

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40)

Related Items (10)

The visualization of the space probability distribution for a particle moving in a double ring-shaped Coulomb potential ⋮ Algebraic solutions of shape-invariant position-dependent effective mass systems ⋮ Green’s Function of a General PT-Symmetric Non-Hermitian Non-central Potential ⋮ Analytical solutions of a generalized non-central potential in N-dimensions ⋮ The visualization of the space probability distribution for a moving particle: in a single ring-shaped Coulomb potential ⋮ Coherent States of Nonlinear Oscillators with Position-Dependent Mass: Temporal Stability and Fractional Revivals ⋮ Exact solutions of Schrödinger equation for the Makarov potential ⋮ Factorization method for exact solution of the non-central modified Killingbeck potential plus a ring-shaped-like potential ⋮ Exactly complete solutions of the Coulomb potential plus a new ring-shaped potential ⋮ Exactly solvable potentials for the Schrödinger equation with spatially dependent mass

Cites Work

• Path integral of the hydrogen atom, Jacobi's principle of least action and one-dimensional quantum gravity
• “CHARGE-DYON” SYSTEM AS THE REDUCED OSCILLATOR
• Significance of Electromagnetic Potentials in the Quantum Theory
• Gauge theory in Hamiltonian classical mechanics: The long-range fields
• Algebraic treatment of a general noncentral potential

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