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Related papers: Is Schr\"odinger's Cat Alive?

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One of the greatest scientific achievements of physics in the 20th century is the discovery of quantum mechanics. The Schrodinger equation is the most fundamental equation in quantum mechanics describing the time-based evolution of the…

Optimization and Control · Mathematics 2009-02-11 Xiaofei Huang

The Schrodinger equation is one of the most important equations in physics and chemistry and can be solved in the simplest cases by computer numerical methods. Since the beginning of the 70s of the last century the computer began to be used…

Quantum Physics · Physics 2022-12-08 Rafael Lahoz-Beltra

In 1926, Erwin Schrodinger wrote a series of papers that invented wave mechanics and set the foundation for much of the single-particle quantum mechanics that we teach today. In his first paper, he solved the Schrodinger equation using the…

Quantum Physics · Physics 2021-12-17 Anna Galler , Jeremy Canfield , James K. Freericks

This paper elucidates the dual structure of the Schr\"{o}dinger dynamics in two correlated stages: (1) We first derive the real-valued Schr\"{o}dinger equation from scratch without referring to classical mechanics, wave mechanics, nor…

Quantum Physics · Physics 2025-08-08 Kazuo Takatsuka

After some historical remarks concerning Schroedinger's discovery of wave mechanics, we present a unified formalism for the mathematical description of classical and quantum-mechanical systems, utilizing elements of the theory of operator…

Quantum Physics · Physics 2012-03-19 Juerg Froehlich , Baptiste Schubnel

A recent neutron interferometry experiment claims to demonstrate a paradoxical phenomena dubbed the "quantum Cheshire Cat" \cite{Denkmayr2014}. We have reproduced and extended these results with an equivalent optical interferometer. The…

Quantum Physics · Physics 2015-06-23 David P. Atherton , Gambhir Ranjit , Andrew A. Geraci , Jonathan D. Weinstein

This paper posits the existence of, and finds a candidate for, a variable change that allows quantum mechanics to be interpreted as quantum geometry. The Bohr model of the Hydrogen atom is thought of in terms of an indeterministic electron…

General Physics · Physics 2019-05-17 Robert L. Navin

The essentials of quantum theory, the Schr\"odinger equation and the Planck constant, are derived using classical statistical mechanics within the non-local Machan model. The appearance of complex wave function is connected with the…

General Physics · Physics 2009-11-17 Merab Gogberashvili

Any time-dependent solution of Schr\"{o}dinger equation may be always correlated to a solution of Hamilton equations or to a statistical combination of their solutions; only the set of corresponding solutions is somewhat smaller (due to…

Quantum Physics · Physics 2012-05-31 Milos V. Lokajicek

This MSc dissertation surveys nine interpretations of non-relativistic quantum mechanics. Extensive references are given. The interpretations covered are: the orthodox interpretation, Bohr's interpretation, the idea that the mind causes…

Quantum Physics · Physics 2008-02-03 Zvi Schreiber

In the recent physics literature there have appeared contradictory statements concerning the behaviour of scattering solutions of the 3-dimensional Schroedinger equation at large times. We clarify the situation and point out that the issue…

Quantum Physics · Physics 2007-05-23 W. O. Amrein

Recent experiments with superconducting qubits are motivated by the goal of fabricating a quantum computer, but at the same time they illuminate the more fundamental aspects of quantum mechanics. In this paper we analyze the physics of…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 G. S. Paraoanu

Electromechanical systems currently offer a path to engineering quantum states of microwave and micromechanical modes that are of both fundamental and applied interest. Particularly desirable, but not yet observed, are mechanical states…

Quantum Physics · Physics 2013-01-15 A. A. Gangat , I. P. McCulloch , G. J. Milburn

Recently, Faria et al [Phys. Lett. A 305 (2002) 322] discussed an example in which the Heisenberg and the Schrodinger pictures of quantum mechanics gave different results. We identify the mistake in their reasoning and conclude that the…

Quantum Physics · Physics 2014-11-18 H. Nikolic

A new wave-particle non-dualistic interpretation for the quantum formalism is presented by proving that the Schr\"odinger wave function is an `{\it instantaneous resonant spatial mode}' in which the quantum particle moves. The probabilities…

General Physics · Physics 2019-02-06 N Gurappa

We apply the many-particle Schr\"{o}dinger-Newton equation, which describes the co-evolution of an many-particle quantum wave function and a classical space-time geometry, to macroscopic mechanical objects. By averaging over motions of the…

General Relativity and Quantum Cosmology · Physics 2013-05-01 Huan Yang , Haixing Miao , Da-Shin Lee , Bassam Helou , Yanbei Chen

Intriguing dichotomies in quantum measurement theory involving the role of the obersever, objective reality, collapse of wavefunctions and actualization of a measurement outcome are cast into a patholigical gedanken experiment involving a…

Quantum Physics · Physics 2007-05-23 Supriyo Bandyopadhyay

We give some arguments to evaluate the "size" of Schrodinger cat for the flux qubit, which has really different results from ref.[1] Korsbakken et al. [1] J.Korsbakken,F.K.Wilhelm and K.B.Whaley,Physics Scripta T137,014022 (2009)

Quantum Physics · Physics 2016-03-15 Anthony J. Leggett

We revisit the Schr\"{o}dinger equation of a quantum particle that is confined on a curved surface. Inspired by the novel work of R. C. T. da Costa [1] we find the field equation in a more convenient notation. The contribution of the…

Quantum Physics · Physics 2021-11-17 S. Habib Mazharimousavi

In this paper I explain how I usually introduce the Schr\"odinger equation during the quantum mechanics course. My preferred method is the chronological one. Since the Schr\"odinger equation belongs to a special case of wave equations I…

Physics Education · Physics 2021-01-15 T. Mart