The quantum mechanics is one of two backbones of the modern physics, and it is the most important required major course in the physics specialty. It is deeply applied not only in many branches of physics, but also quickly and extensively in many important domains such as chemistry, biology, material science, and information science. By the studying of this course, students could masterly grasp ...

In Polymer Quantum Mechanics, a quantization scheme that naturally emerges from Loop Gravity, position and momentum operators cannot be both well defined on the Hilbert space [Formula: see text]. It is henceforth deemed impossible to define standard creation annihilation operators. this paper, we show text]-oscillator structure, hence text]-deformed creation/annihilation operators, can text], w...

“Can the quantum-mechanical description of physical reality be considered complete?” It is perhaps not coincidental that this question, the title of Einstein’s famous onslaught on quantum mechanics [1], was echoed verbatim in the title of Bohr’s reply [2]. Although Bohr opted for a “Yes”, today even his ardent followers (see Wheeler below) believe that quantum mechanics is not the last word. So...

The postulates of quantum mechanics say that when a measurement is made on a quantum state the outcome of the measurement is random [1]. In classical physics, if the state of a closed system is known, then the state of that system is completely predictable. As far as we know, randomness only exists in quantum mechanics [2]. Everett proposed a purely unitary quantum theory [3] (without probabili...

We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author [31], we demonstrate that quantum interference arises in a Clifford algebraic formulation of quantum mechanics. In 1932 J. von Neumann showed that projection operators and, in particular, quantum density matrices can be interpreted as logical statements...

In statistical mechanics, it is well known that finite-state classical lattice models can be recast as quantum models, with distinct classical configurations identified with orthogonal basis states. This mapping makes classical statistical mechanics on a lattice a special case of quantum statistical mechanics, and classical combinatorial entropy a special case of quantum entropy. In a similar m...