লক্ষ্য করুন: এই এন্ট্রির অনুবাদ বর্তমানে মান পর্যালোচনার অধীনে রয়েছে, তাই কিছু বিষয়বস্তু সাময়িকভাবে শুধুমাত্র ইংরেজিতে প্রদর্শিত হচ্ছে।
এই এন্ট্রিটি এখনও আপনার ভাষায় অনুবাদ করা হয়নি, তাই নিচে মূল লেখাটি দেখানো হচ্ছে।
Hamiltonian
This term is an eponym derived from William Rowan Hamilton. In physics, it is used as both a noun to represent the total energy operator and an adjective to describe the mathematical framework of Hamiltonian mechanics. It is a highly technical term used almost exclusively in academic, scientific, and mathematical contexts.
In graph theory, the term describes a specific type of path or cycle. When used as an adjective, it typically modifies "path" or "cycle" to indicate that every vertex is visited exactly once. When used as a noun in this context, it refers to the path or cycle itself.
Meanings
In physics, the operator or function that represents the total energy of a system, consisting of the sum of its kinetic and potential energies.
The physicist calculated the Hamiltonian for the quantum harmonic oscillator.
Relating to or based on the Hamiltonian operator or the Hamiltonian formulation of classical and quantum mechanics, typically describing the total energy of a system.
Examples
This is a Hamiltonian.
This is a Hamiltonian.
The professor explained the Hamiltonian operator in class.
The simulation uses a modified Hamiltonian for accuracy.
The simulation uses a modified Hamiltonian for accuracy.
The derivation of the Hamiltonian remains a cornerstone of mechanics.
The derivation of the Hamiltonian remains a cornerstone of mechanics.
Solving for the Hamiltonian is computationally expensive for large graphs.