For a general mechanical system, it is shown that each solution of the Hamilton-Jacobi equation defines an N = 2 pseudo-supersymmetric extension of the system, such that the usual relation of the momenta to Hamilton’s principal function is the ‘BPS’ condition for preservation of 1/2 pseudo-supersymmetry. The examples of the relativistic and nonrelativistic particle, in a general potential, are ...

Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schrödinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functi...

conclusions consequently, small diameter scnt interaction with nucleic acid bases is noncovalent. also, the results revealed that small diameter scnt interaction especially scnt (4, 4) with nucleic acid bases can be useful in practical application area of biomedical fields such detection and drug delivery. objectives hence, the quantum mechanics (qm) method based on ab initio was used for this ...

This is an introduction to spacetime algebra (STA) as a unified mathematical language for physics. STA simplifies, extends and integrates the mathematical methods of classical, relativistic and quantum physics while elucidating geometric structure of the theory. For example, STA provides a single, matrixfree spinor method for rotational dynamics with applications from classical rigid body mecha...

To learn quantum mechanics, one must become adept in the use of various mathematical structures that make up the theory; one must also become familiar with some basic laboratory experiments that the theory is designed to explain. The laboratory ideas are naturally expressed in one language, and the theoretical ideas in another. We present a method for learning quantum mechanics that begins with...

Some of the articles address the difficulties students have learning particular aspects of quantum mechanics. Others describe different interpretations, formulations, and representations in quantum mechanics. Still others discuss novel applications or some of the more subtle conceptual issues in quantum mechanics. A few of the articles address the integration of workable and affordable quantum ...

We describe the concept of quantum crystallography (QCr) and present examples of its potential as a technique for facilitating computational chemistry, particularly, applications of quantum mechanics. Structural information has been used to facilitate quantum-mechanical calculations for several decades. Recent advances in theory and computational facilities have led to research opportunities th...

Bohmian mechanics is a theory of quantum phenomena based on a particle picture. On a fundamental level, it explains the world around us in terms of point particles that move on deterministic paths. When used to describe experimental situations, Bohmian mechanics yields the textbook formalism of quantum mechanics, and can therefore be considered as an explanation of the axioms of standard quantu...

We introduce a method to construct wave packets with complete classical and quantum correspondence in one-dimensional non-relativistic quantum mechanics. First, we consider two similar oscillators with equal total energy. In classical domain, we can easily solve this model and obtain the trajectories in the space of variables. This picture in the quantum level is equivalent with a hyperbolic pa...

This is the first chapter of a new and unconventional textbook on quantum mechanics and quantum field theory. The chapter introduces standard quantum mechanics by means of a symmetry principle, without reference to classical mechanics. The mathematical foundation of this approach comes from a recent paper of Naudts and Kuna on covariance systems. The standard representation of quantum mechanics...