Path integrals of systems on the half-line

2018/09/13 by Seiji Sakoda, Sakoda, Seiji
Physics and Astronomy · Mathematics · #Quantum and Classical Electrodynamics #Algebraic and Geometric Analysis #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.1809.04856

Abstract

It is wellknown that the Feynman kernel for the free particle on the half-line can be expressed as a sum over classical paths if we take the contribution from the reflected path into account. The minus sign for the reflected path needs to be generalized depending on the parameter of the potential if we add a potential proportional to 1/x².

Citations

• Techniques and Applications of Path Integration

Related

• Path integrals of a particle in a finite interval and on the half-line
• Boundary Condition and the Auxiliary Phase in Feynman Path Integral
• Techniques and Applications of Path Integration
• On Hilbert's sixth problem
• Path Integral Methods and Applications