Lectures on Quantum Mechanics

  title={Lectures on Quantum Mechanics},
  author={Paul Adrien Maurice Dirac},
Proca's electrodynamics describes a theory of massive photons which is not gauge invariant. In this paper we show that the gauge invariance is recovered if a scalar field is properly incorporated
A new proposal for a quantum theory for isolated n-particle systems with variable masses connected by a field with variable form
We propose a new quantum approach for describing a system of $n$ interacting particles with variable mass connected by an unknown field with variable form ($n$-VMVF systems). Instead of assuming any
QED without Gauge Fields
We begin by studying a very simple Hamiltonian for Maxwell's equations that has no gauge fields and is made entirely of the electromagnetic fields. We then show that this theory cannot be quantized.
Toward Canonical General Relativity in the Loop Gravity Phase Space
The continuous, kinematical Hilbert space of loop quantum gravity is built upon a family of spaces HΓ, each associated to a different graph Γ, i.e. a network of interconnected onedimensional links `,
A Shape Dynamics Tutorial
Shape Dynamics (SD) is a new theory of gravity that is based on fewer and more fundamental first principles than General Relativity (GR). The most important feature of SD is the replacement of GR's
Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking
We present path integral quantization of a massive superparticle in d =4 which preserves 1/4 of the target space supersymmetry with eight supercharges, and so corresponds to the partial breaking N =
Study of Planar Models in Quantum Mechanics, Field theory and Gravity
Instantons, monopoles and vortices have become paradigms of topological structures in field theory and quantum mechanics, with important applications in particle physics, astrophysics, condensed
M ar 2 01 0 IHES / P / 09 / 52 E 7 ( 7 ) invariant Lagrangian of d = 4 N = 8 supergravity
We present an E7(7) invariant Lagrangian that leads to the equations of motion of d = 4 N = 8 supergravity without using Lagrange multipliers. The superinvariance of this new action and the closure
Generalized duality, Hamiltonian formalism and new brackets
It is shown that any singular Lagrangian theory: 1) can be formulated without the use of constraints by introducing a Clairaut-type version of the Hamiltonian formalism; 2) leads to a special kind of