In this review we describe statistical mechanics of quantum systems in the presence of a Killing horizon and compare statistical-mechanical and one-loop contributions to black hole entropy. Studying these questions was motivated by attempts to explain the entropy of black holes as a statistical-mechanical entropy of quantum fields propagating near the black hole horizon. We provide an introduct...

We apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic oscillator and a topological quantum mechanical rotor model. For the anharmonic oscillator both methods outperform standard Markov Chain Monte Carlo methods and show a significantly improved error scaling. For the quantu...

We have derived in this paper optimal control of quantum mechanical system with weighted energy cost function by representing the unitary operator in terms of the projection operators of the Hamiltonian of the control system. The admissible Hilbert space of controllers of the system is expressed as the direct sum of the Hilbert spaces corresponding to the weights of the controllers of the quant...

A detailed study of mixed quantum-classical approximations for radiative and nonradiative processes in condensed phase systems is presented and each approximation is compared to exact fully quantum mechanical dynamics. The problems are formulated in terms of a quantum mechanical time correlation function, and the corresponding mixed quantum-classical descriptions are obtained following the gene...

We present a quantum-mechanical theory of the cooling of a cantilever coupled via radiation pressure to an illuminated optical cavity. Applying the quantum noise approach to the fluctuations of the radiation pressure force, we derive the optomechanical cooling rate and the minimum achievable phonon number. We find that reaching the quantum limit of arbitrarily small phonon numbers requires goin...

An overview of models used for the simulation of current transport in nanoelectronic devices within the framework of TCAD applications is presented. Modern enhancements of semiclassical transport models based on microscopic theories as well as quantum mechanical methods used to describe coherent and dissipative quantum transport are specifically addressed. This comprises the incorporation of qu...

— A model of a stationary universe is proposed. In this framework, time is defined as a local and quantum-mechanical notion in the sense that it is defined for each local and quantum-mechanical system consisting of finite number of particles. The total universe consisting of infinite number of particles has no time associated. It is a stationary bound state of the total Hamiltonian of infinite ...

We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the modern trends in theoretical physics and potentially admits new generalizations in different directions. In it a pure state of some quantum system is described by a state section (along paths) of a (Hilbert) fibre bund...

Perception may not be what you think it is. Perception is not just a collection of inputs from our sensory system. Instead, it is the brain's interpretation (positive, negative or neutral-no signature case) of stimuli which is based on an individual's genetics and past experiences. Perception is therefore produced by (e) brain‘s interpretation of stimuli .The universe actually a giant quantum c...