AMALLAH, West Bank

Anyone who has sought an interview with Yasir Arafat learns the drill — agree with his lieutenants on a range of days, pick a nearby hotel and wait. At some point after midnight, you will be summoned. The old man, dressed in battle fatigues with his headdress folded in the diamond shape of mandatory Palestine, a pistol attached to his hip, will arrive in a hurricane of aides and hangers-on. He will grab your hand for emphasis but ignore many of your questions.

It is against such a background that one measures an appointment with the new Palestinian prime minister, Mahmoud Abbas (also known as Abu Mazen), who will hold his first White House meeting with President Bush on Friday. The hour for our interview last Saturday in his functional Ramallah office was set in advance — 7 p.m. At two minutes past, dressed in a dull brown suit, he walked in accompanied by two aides. There is no bravado, no hand grabbing. When asked if the Palestinian Authority has the strength to take charge of West Bank cities that he wants the Israeli military to evacuate, the 67-year-old prime minister replies that it will be hard, but we will try to manage. Asked about Palestinian terror, he says there is no role for violence in the Palestinian national struggle.

Humility is not a trait associated with political leadership, and many of Mr. Abbas's supporters fear it is not serving him well among his people. Mr. Abbas is not a man of public charisma. He is a serious person of decency and integrity who has emerged as the No. 2 in the Palestinian political structure largely because he knows how to get things done behind the scenes.

The result is a kind of prime-minister-despite-himself, a reluctant leader who dislikes the spotlight. With his arrival in power, the feuding Palestinian factions — Hamas, Islamic Jihad and Fatah — have agreed to a cease-fire, giving Israelis and Palestinians their first break from violence in nearly three years.

Israel's leadership, including Prime Minister Ariel Sharon and Defense Minister Shaul Mofaz, say they take Mr. Abbas seriously in his profession of nonviolence — although so far they have done little to help him survive politically.

The things Mr. Abbas says are welcome to nearly all Israelis. He vows, through the use of Palestinian checkpoints and police, to confiscate illegal weapons (although, for now, he refuses to search for weapons in people's homes). He says that the past two and a half years of Palestinian violence have been appalling. And unlike a whole slew of Palestinian officials, Mr. Abbas seems actually to understand Israel's needs and plans. Mr. Abbas recognizes that Israelis need security and that Palestinians must provide it. He reads Israeli opinion polls and knows that if he does in fact provide such safety, Israeli willingness to compromise over land and dismantle settlements will be substantial.

Ahmed Tibi, an Arab member of the Israeli Parliament, says he has, at Abu Mazen's request, taken the new prime minister around to meet Israelis of various stripes in their homes, to hear their concerns and desires.

One of the most delicate issues facing Israeli and Palestinian negotiators is the right of Palestinian refugees to settle in what is now Israel. Mr. Abbas was born in what is today the Israeli town of Safed. Mr. Abbas says he has no desire to return to Safed because it is Israel and he believes most of his fellow refugees feel the same way (recent polling data lend support to this view). His notion is to persuade the Israelis to let the Palestinians assert their right of return and then make sure the vast majority of Palestinian refugees exercise it in a way that does not involve moving to Israel, through financial compensation or settling in the new Palestinian state.

There are reasonable fears that Mr. Arafat is undermining Mr. Abbas and would like to see him fail. The single most important step Israel can take — and here, American encouragement and pressure are central — is to ease the life of Palestinians through release of prisoners held by Israel, removal of Israeli roadblocks and checkpoints within Palestinian cities, and economic improvement. The Palestinian economy is so weak that any change for the better would be felt quickly and dramatically.

Israel wants Mr. Abbas to disarm and dismantle radical Palestinian groups before it gives him stronger support. This is an understandable demand, but Mr. Abbas says it is politically impossible now and he wants to consolidate his government's power through persuasion rather than armed confrontation. It seems worth taking a chance on his program to bolster his position since it is hard to imagine, for Israel, a better partner at the moment. Palestinian radicals are on the defensive since most people here want to move past the violence of the past few years. If Mr. Abbas produces improvements in daily life, such pressure will continue. Then Mr. Abbas, the mild-mannered agent of a quiet revolution in Palestinian politics, may find himself with just the kind of power and influence he needs.