Path Integrals in Polar and Spherical Coordinates

The following sections are included:

• Angular Decomposition in Two Dimensions

• Trouble with Feynman's Path Integral Formula in Radial Coordinates

• Cautionary Remarks

• Time Slicing Corrections

• Angular Decomposition in Three and More Dimensions

  • Three Dimensions

  • D Dimensions

• Radial Path Integral for Harmonic Oscillator and Free Particle in D Dimensions

• Particle near the Surface of a Sphere in D Dimensions

• Angular Barriers near the Surface of a Sphere

  • Angular Barriers in Three Dimensions

  • Angular Barriers in Four Dimensions

• Motion on a Sphere in D Dimensions

• Path Integrals on Group Spaces

• Path Integral of Spinning Top

• Path Integral of Spinning Particle

• Berry Phase

• Spin Precession

• Notes and References