Symmetries in Quantum Mechanics

<p><span style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)>Symmetry and quantum mechanics are two of the most fundamental probes we have of nature. This collection of eleven papers discusses new quantum phenomena in atoms galaxies and people (quantum cognition) which is a testimonial to the breadth of the influence of symmetry and quantum mechanics. The papers can be divided into four broad categories: 1. </span><em style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)>Fundamentals of quantum systems</em><span style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)> including a new derivation of the uncertainty principle from optimal stochastic control theory a new model of energy transfer between atoms with no wave function collapse a new asymmetric optical micro-device with the remarkable property of showing a current with no applied voltage a group theory method to compute radiative shifts and a model of quantum cognition to predict the effect of irrelevant information on decision making 2. Algebraic methods in quantum mechanics applied for the elegant derivation of hydrogen atom Stark effect matrix elements and a group theoretical method for the computation of radiative shifts 3. </span><em style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)>Teleportation and scattering</em><span style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)> including a method to improve the information transfer in teleportation and the use of permutation symmetry to compute scattering cross sections and 4. </span><em style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)>Cosmology</em><span style=background-color: rgba(250 250 250 1); color: rgba(0 0 0 1)> including scalar-tensor theory applied to inflation the characterization of new Levi-Cevita spacetimes and the analysis of gravitational dispersion forces. The book represents an international effort of researchers from educational and research institutions in nine countries including India Finland France Mexico Norway Russia Spain Turkey and the United States.</span></p>